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## PowerPedia:Antenna

Lasted edited by Andrew Munsey, updated on June 14, 2016 at 9:33 pm.

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An antenna or aerial is an There was an error working with the wiki: Code[8] There was an error working with the wiki: Code[9] (i.e., There was an error working with the wiki: Code[10], There was an error working with the wiki: Code[11]), or the There was an error working with the wiki: Code[64]. Antennas are used for communicating and conveying information specifically in larger systems, such as the Radio, There was an error working with the wiki: Code[65], and the There was an error working with the wiki: Code[66].

Physically, an antenna is an arrangement of Conductor (material)s designed to radiate (transmit) an There was an error working with the wiki: Code[12] an alternating current in the antenna and a voltage between its terminals.

#### Terminology

The words "antenna" (plural: antennas and "aerial" are used interchangeably throughout this article. The origin of the word antenna relative to wireless apparatus is attributed to There was an error working with the wiki: Code[13] for pole) would become a popular term for what today is uniformly known as the "antenna".

A "hertz antenna" is a set of terminals that does not require the presence of a ground for its operation. A "There was an error working with the wiki: Code[67]" is an active antenna having an elongated portion of appreciable electrical length and having additional inductance or capacity directly in series or shunt with the elongated portion so as to modify the standing wave pattern existing along the portion or to change the effective electrical length of the portion. An "There was an error working with the wiki: Code[68]" is a ground for establishing a reference potential level for operating the active antenna. It can be any structure closely associated with (or act as) the ground which is connected to the terminal of the signal receiver or source opposing the active antenna terminal, (i.e., the signal receiver or source is interposed between the active antenna and this structure.

The use of "antenna" usually excludes non-communication applications involving radio waves where no communications or signalling is involved. The use of "antenna" also usually excludes communication by radiant energy other than radio waves (e.g. by partial rays, compressional waves, etc.). Radiant energy is the partially kinetic and partially potential energy associated with waves produced in free space by a source of energy, such as electromagnetic radiations (including radio wave). Communication systems that utilize electromagnetic waves other than radio waves (e.g. rays of visible light, infrared, ultraviolet, X-rays, cathode rays, ions, gamma rays, beta rays, and inductive coupling) do use this term "antenna" though.

"There was an error working with the wiki: Code[69]s" (or "There was an error working with the wiki: Code[70]s") are electromagnetic waves whose frequency spectrum extends over a range from somewhat above the frequency of audible sound waves to somewhat below the frequency of heat and light waves. The radio waves are produced by oscillations of electric change in an antenna. Values of 10 kilocyles to 30,000 megacyles have been given as the lower and upper limits of the range for radio waves. It should be noted that other values exist beyond these limits. Radio waves usually exclude compressional waves, light waves, heat waves, infrared waves, ultraviolet waves, X-rays, cathode rays, gamma rays, and ion beams.

#### Overview

There are two fundamental types of antennas, which, with reference to a specific three dimensional (usually horizontal or vertical) plane are:

# either omni-directional (radiate equally in the plane)

# directional (radiates more in one direction than in the other).

All antennas radiate (or emanate) some energy in all directions in free space but careful construction results in large directivity in certain directions and negligible energy radiated in other directions.

By adding additional conducting rods or coils (called elements) and varying their length, spacing, and orientation (or changing the direction of the antenna beam), an antenna with specific desired properties can be created, such as a There was an error working with the wiki: Code[71] (often abbreviated to "Yagi"). An "There was an error working with the wiki: Code[72]" is a plurality of active antennas coupled to a common source or load to produce a directive radiation pattern. Usually the spatial relationship also contributes to the directivity of the antenna. By the use of term "active element" it is intended to describe an element whose energy output is modified due to the presence of a source of energy in the element (other than the mere signal energy which passes through the circuit) or an element in which the energy output from a source of energy is controlled by the signal input. The "antenna lead-in" is the conductive means (as for example a There was an error working with the wiki: Code[73] or There was an error working with the wiki: Code[74]) for conveying the signal energy between the active antenna and the signal source. It extends directly from the active antenna towards the source. The "There was an error working with the wiki: Code[75]" refers to the components between the active antenna and an Amplifier. The "There was an error working with the wiki: Code[76]" is the structure of conductive material most closely associated with ground but insulated from (or capacitively coupled to) the natural ground. It aids in the function of the natural ground, particularly where variations (or limitations) of the characteristics of the natural ground interfere with its proper function. Such structure are usually connected to the terminal of the signal receiver or source opposing the active antenna terminal.

A "antenna component" is a portion of the antenna performing a distinct function and limited for use in an antenna, as for example, a reflector, director, or active antenna. "There was an error working with the wiki: Code[14]" is usually a metallic conductive structure (e.g., screen, rod or plate) which reradiates back into free space impinging electromagnetic radiation coming from or going to the active antenna. The velocity of the returned wave having a component in a direction opposite to the direction of velocity of the impinging wave. The reflector modifies the radiation of the active antenna. There is no significant potential relationship between the active antenna and this conductive structure.

An "There was an error working with the wiki: Code[15]".

The vast majority of antennas are simple vertical rods a quarter of a wavelength long. Such antennas are simple in construction, usually inexpensive, and both radiate in and receive from all horizontal directions (omnidirectional). One limitation of this antenna is that it does not radiate or receive in the direction in which the rod points. This region is called the There was an error working with the wiki: Code[16]. Antennas have practical use for the There was an error working with the wiki: Code[17] and There was an error working with the wiki: Code[18] of There was an error working with the wiki: Code[77] signals (radio, TV, etc.), which can theroretically travel over great distances at the There was an error working with the wiki: Code[78] (the true velocity depends on the transmission medium over which it passes). These signals can also pass through nonconducting walls (although often there is a variable signal reduction depending on the type of wall, and natural rock can be very reflective to radio signals).

#### Antenna parameters

There are several critical parameters that affect an antenna's performance and can be adjusted during the design process. These are There was an error working with the wiki: Code[19], There was an error working with the wiki: Code[20], There was an error working with the wiki: Code[21] or There was an error working with the wiki: Code[79], There was an error working with the wiki: Code[80], efficiency and There was an error working with the wiki: Code[81]. Transmit antennas may also have a maximum power rating, and receive antennas differ in their noise rejection properties.

##### Overview of antenna parameters

Except for polarization, the SWR is the most easily measured of the parameters above. Impedance can be measured with specialized equipment, as it relates to the There was an error working with the wiki: Code[22] SWR. Measuring radiation pattern requires a sophisticated setup including significant clear space (enough to put the sensor into the antenna's There was an error working with the wiki: Code[82], or an anechoic chamber designed for antenna measurements), careful study of experiment geometry, and specialized measurement equipment that rotates the antenna during the measurements. The distance is the space between two points, which may be immediately juxtaposed or widely spaced.

Bandwidth depends on the overall effectiveness of the antenna, so all of these parameters must be understood to fully characterize the bandwidth capabilities of an antenna. However, in practice, bandwidth is typically determined by looking only at SWR, i.e., by finding the frequency range over which the SWR is less than a given value. Bandwidth over which an antenna exhibits a particular radiation pattern is also important, for in practical use the performance of an antenna at the extremes of an assigned frequency band is important.

##### Resonant frequency

The "There was an error working with the wiki: Code[23]" and "There was an error working with the wiki: Code[83]" is related to the There was an error working with the wiki: Code[84] of the antenna. The electrical length is usually the physical length of the wire multiplied by the ratio of the speed of wave propagation in the wire. Typically an antenna is tuned for a specific frequency, and is effective for a range of frequencies usually centered on that resonant frequency. However, the other properties of the antenna (especially radiation pattern and impedance) change with frequency, so the antenna's resonant frequency may merely be close to the center frequency of these other more important properties.

Antennas can be made resonant on There was an error working with the wiki: Code[85] frequencies with lengths that are fractions of the target wavelength. Some antenna designs have multiple resonant frequencies, and some are relatively effective over a very broad range of frequencies. The most commonly known type of wide band aerial is the logarithmic or log periodic, but its gain is usually much lower than that of a specific or narrower band aerial.

##### Gain

In antenna design, "There was an error working with the wiki: Code[86]" is the logarithm of the ratio of the intensity of an antenna's radiation pattern in the direction of strongest radiation to that of a reference antenna. If the reference antenna is an There was an error working with the wiki: Code[87], the gain is often expressed in units of dBi (decibels over isotropic). For example, a There was an error working with the wiki: Code[88] has a gain of 2.14 dBi http://www.marcspages.co.uk/tech/antgain.htm. Often, the dipole antenna is used as the reference (since a perfect isotropic reference is impossible to build), in which case the gain of the antenna in question is measured in dBd (decibels over dipole).

Specifically, the Gain, Directive gain or Power gain of an antenna is defined as the ratio of the There was an error working with the wiki: Code[89] (power per unit surface) radiated by the antenna in a given direction at an arbitrary distance divided by the intensity radiated at the same distance by an hypothetical There was an error working with the wiki: Code[90] antenna:

::G={\left({P \over S}\right)_{ant} \over \left({P \over S}\right)_{iso}}

We write "hypothetical" because a perfect isotropic antenna cannot exist in reality (the electric and magnetic field would not satisfy There was an error working with the wiki: Code[91] for electromagnetic fields). Gain is a dimensionless number (without units).

As an example, consider an antenna that radiates an electromagnetic wave whose electrical field has an amplitude {E_\theta} at a distance {r}. This amplitude is given by:

:: E_\theta= {AI \over r}

where:

{I} is the current fed to the antenna and

{A} is a constant characteristic of each antenna.

For a large distance {r}. The radiated wave can be considered locally as a plane wave. The intensity of an electromagnetic plane wave is:

:: {P\over S}={c\varepsilon_\circ\over2}E_B^2={1\over 2} {E_B^2\over Z_\circ}

where

{Z_\circ=\sqrtThere was an error working with the wiki: Code[1]= 376.730313461\, \Omega} is an universal constant called There was an error working with the wiki: Code[92].

and

:: \left({P\over S}\right)_{ant}={1\over 2Z_\circ} {A^2I^2\over r^2}

If the resistive part of the series impedance of the antenna is {R_s}, the power fed to the antenna is {{1\over 2}R_sI^2}. The intensity of an isotropic antenna is the power so fed divided by the surface of the sphere of radius {r}:

: \left({P \over S}\right)_{iso}={{1\over 2}R_sI^2 \over 4\pi r^2 }

The directive gain is:

::G={{1\over 2Z_\circ} {A^2I^2\over r^2} \over {{1\over 2}R_sI^2 \over 4\pi r^2 } } ={A^2 \over 30 R_s}

If the antenna is a There was an error working with the wiki: Code[24] {A=60} and {R_s=73\,\Omega}. The gain is {G=1.64}.

Often the gain is given in dBi (decibels over isotropic radiator):

::G=1.64=10\log_{10}G\,\,\,{dBi}= 2.15\,\,\, {dBi}

The dBi are just There was an error working with the wiki: Code[93] with an i added to remind that the reference gain is that of an isotropic antenna.

One of the simplest antennas, the There was an error working with the wiki: Code[25] has a gain of {1.5=1.76\,\,{dBi}}. Sometimes, the short dipole is taken as reference, instead the isotropic radiator. The gain is then given in dBd (decibels over short dipole):

:: dBd = dBi – 1.76

The gain of an antenna is a passive phenomena - power is not added by the antenna, but simply redistributed to provide more radiated power in a certain direction than would be transmitted by an isotropic antenna. If an antenna has a positive gain in some directions, it must have a negative gain in other directions as energy is conserved by the antenna. The gain that can be achieved by an Antenna is therefore trade-off between the range of directions that must be covered by an Antenna and the gain of the antenna. For example, a dish antenna on a spacecraft has a very large gain, but only over a very small range of directions - it must be accurately pointed at earth - but a radio transmitter has a very small gain as it is required to radiate in all directions.

For dish-type antennas, gain is proportional to the There was an error working with the wiki: Code[26] (reflective area) and surface accuracy of the dish, as well as the frequency being transmitted/received. In general, a larger aperture provides a higher gain. Also, the higher the frequency, the higher the gain, but surface inaccuracies lead to a larger degradation of gain at higher frequencies.

"There was an error working with the wiki: Code[27]", and "There was an error working with the wiki: Code[94]" are closely related to gain. Aperture is the shape of the "beam" cross section in the direction of highest gain, and is two-dimensional. (Sometimes aperture is expressed as the radius of the circle that approximates this cross section or the angle of the cone.) Radiation pattern is the three-dimensional plot of the gain, but usually only the two-dimensional horizontal and vertical cross sections of the radiation pattern are considered. Antennas with high gain typically show side lobes in the radiation pattern. Side lobes are peaks in gain other than the main lobe (the "beam"). Side lobes detract from the antenna quality whenever the system is being used to determine the There was an error working with the wiki: Code[95] of a signal, as in There was an error working with the wiki: Code[96] systems and reduce gain in the main lobe by distributing the power.

##### Bandwidth

The "There was an error working with the wiki: Code[97]" of an antenna is the range of frequencies over which it is effective, usually centered around the resonant frequency. The bandwidth of an antenna may be increased by several techniques, including using thicker wires, replacing wires with cages to simulate a thicker wire, tapering antenna components (like in a There was an error working with the wiki: Code[98]), and combining multiple antennas into a single assembly and allowing the natural impedance to select the correct antenna.

Small antennas are usually preferred for convenience, but there is a fundamental limit relating bandwidth, size and efficiency.

##### Impedance

"There was an error working with the wiki: Code[28]" is analogous to There was an error working with the wiki: Code[99] in optics. As the electric wave travels through the different parts of the antenna system (Radio, There was an error working with the wiki: Code[100], antenna, There was an error working with the wiki: Code[101]) it may encounter differences in impedance. At each interface, depending on the impedance match, some fraction of the wave's energy will reflect back to the source, forming a standing wave in the feed line. The ratio of maximum power to minimum power in the wave can be measured and is called the There was an error working with the wiki: Code[102] (SWR). A SWR of 1:1 is ideal. A SWR of 1.5:1 is considered to be marginally acceptable in low power applications where power loss is more critical, although an SWR as high as 6:1 may still be usable with the right equipment. Minimizing impedance differences at each interface (There was an error working with the wiki: Code[103]) will reduce SWR and maximize power transfer through each part of the antenna system.

There was an error working with the wiki: Code[29] impedance of an antenna is related to the There was an error working with the wiki: Code[104] of the antenna at the wavelength in use. The impedance of an antenna can be matched to the feed line and radio by adjusting the impedance of the feed line, using the feed line as an impedance Transformer. More commonly, the impedance is adjusted at the load (see below) with an There was an error working with the wiki: Code[105], a There was an error working with the wiki: Code[106], a matching transformer, matching networks composed of There was an error working with the wiki: Code[107]s and Capacitors, or matching sections such as the gamma match.

##### Polarization

The "There was an error working with the wiki: Code[108]" of an antenna is the orientation of the electric field (There was an error working with the wiki: Code[109]) of the radio wave with respect to the Earth's surface and is determined by the physical structure of the antenna and by its orientation. It has nothing in common with antenna directionality terms: "horizontal", "vertical" and "circular". Thus, a simple straight wire antenna will have one polarization when mounted vertically, and a different polarization when mounted horizontally. "Electromagnetic wave polarization filters" are structures which can be employed to acts directly on the electromagnetic wave to filter out wave energy of an undesired polarization and to pass wave energy of a desired polarization.

Reflections generally affect polarization. For radio waves the most important reflector is the There was an error working with the wiki: Code[110] - signals which reflect from it will have their polarization changed unpredictably. For signals which are reflected by the ionosphere, polarization cannot be relied upon. For line-of-sight communications for which polarization can be relied upon, it can make a large difference in signal quality to have the transmitter and receiver using the same polarization many tens of dB difference are commonly seen and this is more than enough to make the difference between reasonable communication and a broken link.

Polarization is largely predictable from antenna construction, but especially in directional antennas, the polarization of side lobes can be quite different from that of the main propagation lobe. For radio antennas, polarization corresponds to the orientation of the radiating element in an antenna. A vertical omnidirectional There was an error working with the wiki: Code[111] antenna will have vertical polarization (the most common type). An exception is a class of elongated waveguide antennas in which vertically placed antennas are horizontally polarized. Many commercial antennas are marked as to the polarization of their emitted signals.

Polarization is the sum of the E-plane orientations over time projected onto an imaginary plane perpendicular to the direction of motion of the radio wave. In the most general case, polarization is elliptical (the projection is oblong), meaning that the antenna varies over time in the polarization of the radio waves it is emitting. Two special cases are There was an error working with the wiki: Code[112] (the ellipse collapses into a line) and There was an error working with the wiki: Code[113] (in which the ellipse varies maximally). In linear polarization the antenna compels the electric field of the emitted radio wave to a particular orientation. Depending on the orientation of the antenna mounting, the usual linear cases are horizontal and vertical polarization. In circular polarization, the antenna continuously varies the electric field of the radio wave through all possible values of its orientation with regard to the Earth's surface. Circular polarizations, like elliptical ones, are classified as right-hand polarized or left-hand polarized using a "thumb in the direction of the propagation" rule. Optical researchers use the same rule of thumb, but pointing it in the direction of the emitter, not in the direction of propagation, and so are opposite to radio engineers' use.

In practice, regardless of confusing terminology, it is important that linearly polarized antennas be matched, lest the received signal strength be greatly reduced. So horizontal should be used with horizontal and vertical with vertical. Intermediate matchings will lose some signal strength, but not as much as a complete mismatch. Transmitters mounted on vehicles with large motional freedom commonly use circularly polarized antennas so that there will never be a complete mismatch with signals from other sources. In the case of radar, this is often reflections from rain drops.

##### Efficiency

"There was an error working with the wiki: Code[30]" is the ratio of power actually radiated to the power put into the antenna terminals. A There was an error working with the wiki: Code[31] including loss resistance. Loss resistance usually results in heat generation rather than radiation, and therefore, reduces efficiency.

##### Transmission and reception

All of these parameters are expressed in terms of a There was an error working with the wiki: Code[32] antenna, but are identically applicable to a receiving antenna, due to There was an error working with the wiki: Code[33]. Impedance, however, is not applied in an obvious way for impedance, the impedance at the load (where the power is consumed) is most critical. For a transmitting antenna, this is the antenna itself. For a receiving antenna, this is at the (radio) receiver rather than at the antenna. Tuning is done by adjusting the length of an electrically long linear antenna to alter the electrical resonance of the antenna.

Antenna tuning is done by adjusting an inductance or capacitance combined with the active antenna (but distinct and separate from the the active antenna). The inductance or capacitance provides the reactance which combines with the inherent reactance of the active antenna to establish a resonance in a circuit including the active antenna. The established resonance being at a frequency other than the natural electrical resonant frequency of the active antenna. Adjustment of the inductance or capacitance changes this resonance.

Antennas used for transmission have a maximum There was an error working with the wiki: Code[114], beyond which heating, arcing or sparking may occur in the components, which may cause them to be damaged or destroyed. Raising this maximum power rating usually requires larger and heavier components, which may require larger and heavier supporting structures. Of course, this is only a concern for transmitting antennas the power received by an antenna rarely exceeds the microwatt range.

Antennas designed specifically for reception might be optimized for There was an error working with the wiki: Code[34] rejection capabilities. An "There was an error working with the wiki: Code[35] so that noise from other frequencies is rejected, or selecting a specific radiation pattern to reject noise from a specific direction, or by selecting a polarization different from the noise polarization, or by selecting an antenna that favors either the electric or magnetic field.

For instance, an antenna to be used for reception of low frequencies (below about ten There was an error working with the wiki: Code[36]) will be subject to both man made noise from motors and other machinery, and from natural sources such as lightning. Successfully rejecting these forms of noise is an important antenna feature. A small coil of wire with many turns is more able to reject such noise than a vertical antenna. However, the vertical will radiate much more effectively on transmit, where extraneous signals are not a concern.

The radiation pattern is a graphical depiction of the relative field strength transmitted from or received by the antenna. As antennas radiate in space often several curves are necessary to describe the antenna. If the radiation of the antenna is symmetrical about an axis (as is the case in dipole, helical and some parabolic antennas) a unique graph is sufficient. Each antenna supplier/user has different standards as well as plotting formats. Each format has its own pluses and minuses. Radiation pattern of an antenna can be defined as the locus of all points where the emitted power per unit surface is the same. As the radiated power per unit surface is proportional to the squared electrical field of the electromagnetic wave. The radiation pattern is the locus of points with the same electrical field. In this representation, the reference is, usually, the best angle of emission. It is also possible to depict the directive gain of the antenna as a function of the direction. Often the gain is given in There was an error working with the wiki: Code[37] or a There was an error working with the wiki: Code[38]. The shape of curves can be very different in cartesian or polar coordinates and with the choice of the limits of the logarithmic scale. The four drawings below are the radiation patterns of a same There was an error working with the wiki: Code[39]

#### Basic antenna models

There are many variations of antennas that have various configuartions. These configurations contain space or medium which tends to confine the energy within specified boundaries along a predetermined path (known as "restricted space"), such as There was an error working with the wiki: Code[40]s, and conductive There was an error working with the wiki: Code[115]s. Below are a few common models. More can be found in There was an error working with the wiki: Code[116].

The There was an error working with the wiki: Code[117] is a purely theoretical antenna that radiates equally in all directions. It is considered to be a point in space with no dimensions and no mass. This antenna cannot physically exist, but is useful as a theoretical model for comparison with all other antennas. Most antennas' gains are measured with reference to an isotropic radiator, and are rated in dBi (decibels with respect to an isotropic radiator).

The There was an error working with the wiki: Code[41] in the plane perpendicular to the axis of the antenna, but it has deep There was an error working with the wiki: Code[42], and the There was an error working with the wiki: Code[118].

The There was an error working with the wiki: Code[119] is a directional variation of the dipole with There was an error working with the wiki: Code[120] elements added with functionality similar to adding a reflector and lenses (directors) to focus a filament lightbulb.

Loop antennas have a continuous conducting path leading from one conductor of a two-wire transmission line to the other conductor. "Symmetric" loop antennas have a plane of symmetry running along the feed and through the loop. "Planar" loop antennas lie in a single plane which also contains the conductors of the feed. "Three-dimensional" loop antennas have wire which runs in all of the x,y, and z directions. By definition they are not planar. They may, however, be symmetric about planes which contain the feed.

The (large) loop antenna is similar to a dipole, except that the ends of the dipole are connected to form a circle, triangle (There was an error working with the wiki: Code[121]) or square. Typically a loop is a multiple of a half or full wavelength in There was an error working with the wiki: Code[122]. A circular loop gets higher gain (about 10%) than the other forms of large loop antenna, as gain of this antenna is directly proportional to the area enclosed by the loop, but circles can be hard to support in a flexible wire, making squares and triangles much more popular. Large loop antennas are more immune to localized noise partly due to lack of a need for a groundplane. The large loop has its strongest signal in the plane of the loop, and nulls in the axis perpendicular to the plane of the loop.

The small loop antenna, also called the There was an error working with the wiki: Code[43] of the electromagnetic wave. As such, it is less sensitive to near field electric noise when properly shielded. The received voltage can be greatly increased by bringing the loop into resonance with a tuning capacitor. The small loop has a maximum output when the magnetic field is normal to the plane of the loop, and since this field is transverse to the direction of the wave, has a maximum in the plane of the loop. This is the same mechanism as the large loop.

The electrically short antenna is an open-end wire far less than 1/4 wavelength in length - in other words only one end of the antenna is connected to the radio, and the other end is hanging free in space. Unlike nearly all other antennas in this list, this antenna detects only the There was an error working with the wiki: Code[44] cannot be changed by adding lumped components, but more efficient power transfer can be achieved by impedance matching with such circuits. Electrically short antennas are typically used where operating wavelength is large and space is limited, e.g. for There was an error working with the wiki: Code[45] transceivers operating at long wavelengths.

The There was an error working with the wiki: Code[123] is a special antenna where a reflector dish is used to focus the signal from a directional antenna feeder. Antennas of this type are commonly found as There was an error working with the wiki: Code[124] antennas, There was an error working with the wiki: Code[125] / There was an error working with the wiki: Code[126], There was an error working with the wiki: Code[127], radio-links, mobile phone backhaul and military tactical radio link -antennas. They are characterized by high directionality and gain but can only be used at UHF to microwave and higher frequencies due to dimensions getting too large at lower frequencies.

The There was an error working with the wiki: Code[46] and so on because circuit functions can be directly integrated to the microstrip antenna to form compact There was an error working with the wiki: Code[128]s and spatial power combiners.

The There was an error working with the wiki: Code[129] is an array of square loops that vary in size. The quad is related to the loop in exactly the same way the yagi is related to the dipole. Typically, the quad needs fewer elements to get the same gain as a yagi. Variations of the quad include the There was an error working with the wiki: Code[130] which uses a triangle instead of a square, requiring fewer supports for large wavelength antennas.

The There was an error working with the wiki: Code[131] is simply a very long (greater than one wavelength) wire with one end connected to the radio and the other in free space, arranged in any way most convenient for the space available. Folding will reduce effectiveness and make theoretical analysis extremely difficult. (The added length helps more than the folding typically hurts.) Typically, a random wire antenna will also require an There was an error working with the wiki: Code[132], as it might have a random impedance that varies nonlinearly with frequency.

The There was an error working with the wiki: Code[133] is a form of directional There was an error working with the wiki: Code[134] which uses a resistive termination at one end and feed from the other.

The endfire There was an error working with the wiki: Code[135] is a directional antenna suited for receiving signals that are either circular polarized or randomly polarized. These are usually used with There was an error working with the wiki: Code[136]s, and are frequently used for the driven element on a dish.

The There was an error working with the wiki: Code[137] antenna is a group of independently fed active elements in which the relative phases of the respective signals feeding the elements are varied in such a way that the effective radiation pattern of the array is reinforced in a desired direction and suppressed in undesired directions. In plain language, this is a directional antenna that can be aimed without moving any parts.

There was an error working with the wiki: Code[138] uses a series of observations separated in time and space to simulate a very large antenna. There was an error working with the wiki: Code[139] allows the monitor to combine signals from several radio receivers or a single moving receiver.

A There was an error working with the wiki: Code[140] is used by submarines when submerged. These antennas are designed to pick up transmissions in the low frequency (LF) and very low frequency (VLF) ranges.

An There was an error working with the wiki: Code[141] refers to an antenna fully or substantially designed using a computer algorithm based on Darwinian evolution.

A There was an error working with the wiki: Code[47] and therefore prevents it from interfering with other nearby antennas or circuits, making it suitable for miniature equipment such as mobile phones.

A There was an error working with the wiki: Code[142] is an antenna system that handles the incoming waveform from the dish to the There was an error working with the wiki: Code[143]. It usually comprises of a series of rings with decreasing radius in order to drive the signal to the There was an error working with the wiki: Code[144].

#### How antennas work

Any conducting mass may function as a radiator or collector of radio wave energy and may act as an antenna. Antennas, more specifically, are passive conducting masses, which may be in the form of a metallic current Conductor, There was an error working with the wiki: Code[145], or space discharge. This mass in use is in direct engagement with free space to emit or collect radio wave energy to or from free space, and is coupled or connected to a source of energy or to a load. To act as an antenna, the mass usually has a particular shape and size, or may have electrical circuit elements, namely There was an error working with the wiki: Code[146], There was an error working with the wiki: Code[147], or There was an error working with the wiki: Code[148], associated with it.

"Scanning" an antenna repeatedly moves the antenna beam over an area in space, such as in There was an error working with the wiki: Code[149]. "Sweeping" an antenna moves the antenna beam repeatedly along a single line (which may be straight or curved) in space.

##### The reactive field

Fundamentally, all electromagnetic fields are created by the existence or movement of There was an error working with the wiki: Code[150], and in normal electrical circuits, this charge is exclusively carried by Electrons and There was an error working with the wiki: Code[151]s. Since protons tend to be confined within Atoms and move very little, it is usually only the movement of electrons that needs to be considered.

Since an electric current in a wire consists of a moving cloud of electrons, it follows that every electric current induces a magnetic field. (Every electron also has its own permanent electric field called its coulomb field, but this is not observable outside the circuit because it is canceled by the equal but opposite coulomb field of a nearby proton.) If the current is constant, it induces a constant magnetic field, and the magnetic field is proportional to current.

There was an error working with the wiki: Code[152] predict that a changing magnetic field induces a changing electric field, so we now have both magnetic and electric fields around the circuit, creating an electromagnetic field called the reactive field or inductive field. However, when the current stops, these fields collapse, returning energy to the power supply. The circuit therefore behaves like a reactive component, either a Capacitor or an There was an error working with the wiki: Code[153], which stores energy temporarily but periodically returns it to the source.

Now consider a current that periodically reverses direction: an Alternating current. This consists of a flow of electrons that must therefore reverse direction, and a change of direction is an There was an error working with the wiki: Code[154]. Because of the way that electromagnetic fields propagate through space at the speed of light, an accelerating electrical charge creates electromagnetic radiation. The result is that energy is continually radiated into space, and must be replenished from the circuit's power supply. The circuit is now behaving as an antenna, and is continually converting electrical energy into a radiating field that extends indefinitely outward.

When the circuit is much shorter than the wavelength of the signal, the rate at which it radiates energy is proportional to the size of the current, the length of the circuit and the frequency of the alternations. In most circuits, the product of these three quantities is small enough that not much energy is radiated, and the result is that the reactive field dominates the radiating field. When the length of the antenna approaches the wavelength of the signal, the current along the antenna is no longer uniform and the calculation of power output becomes more complex.

##### Background theory of reality

It is believed that the Electrical field created by an electric charge {q} is

::\vec E={-q\over 4\pi \varepsilon_\circ}\left[{\vec e_{r'}\over r'^2}+

{r'\over c}{d\ \over dt}\left({\vec e_{r'}\over r'^2}\right) +

{1\over c^2}{d^2\ \over dt^2}\left(\vec e_{r'}\right)\right]\,

where:

{c} is the There was an error working with the wiki: Code[155] in vacuum.

{\varepsilon_\circ } is the There was an error working with the wiki: Code[48].

{r'} is the distance from the observation point (the place where {\vec E} is evaluated) to the point where the charge was {r'\over c} seconds before the time when the measure is done.

{\vec e_{r'}} is the unit vector directed from the observation point (the place where {\vec E} is evaluated) to the point where the charge was {r'\over c} seconds before the time when the measure is done.

The "prime" in this formula appears because the electromagnetic signal travels at the speed of light. Signals are observed as coming from the point where they were emitted and not from the point where the emitter is at the time of observation. The stars that we see in the sky are no longer where we see them. We will see their current position years in the future some of the stars that we see today no longer exist.

The first term in the formula is just the electrostatic field with There was an error working with the wiki: Code[156]. The second term is as though nature were trying to allow for the fact that the effect is retarded (Feynman). The third term is the only term that accounts for the far field of antennas. The two first terms are proportional to {1\over r^2}. Only the third is proportional to {1\over r}.

Near the antenna, all the terms are important. However, if the distance is large enough, the two first terms become negligible and only the third remains:

::\vec E={-q\over 4\pi \varepsilon c^2_\circ}{d^2\ \over dt^2}\left(\vec e_{r'}\right)=-q10^{-7}{d^2\ \over dt^2}\left(\vec e_{r'}\right)\,

If the charge q is in sinusoidal motion with amplitude

{\ell_\circ} and pulsation {\omega} the power radiated by the charge is:

:: P= {q^2\omega^4\ell_\circ^2 \over 12\pi\varepsilon_\circ c^3} Watts.

Note that the radiated power is proportional to the fourth power of the frequency. It is far easier to radiate at high frequencies than at low frequencies. If the motion of charges is due to currents, it can be shown that the (small) electrical field radiated by a small length {d\ell} of a conductor carrying a time varying current {I} is

::dE_\theta(t+{r\over c})={-d\ell \sin\theta \over 4\pi\varepsilon_\circ c^2 r}{dI\over dt}\,

The left side of this equation is the electrical field of the electromagnetic wave radiated by a small length of conductor. The index {\theta} reminds that the field is perpendicular to the line to the source. The {t+{r\over c}} reminds that this is the field observed There was an error working with the wiki: Code[2] seconds after the evaluation on the current derivative. The angle {\theta} is the angle between the direction of the current and the direction to the point where the field is measured.

The electrical field and the radiated power are maximal in the plane perpendicular to the current element. They are zero in the direction of the current. Only time-varying currents radiate electromagnetic power. If the current is sinusoidal, it can be written in complex form, in the same way used for impedances. Only the real part is physically meaningful:

::I=I_\circ e^{j\omega t}

where:

{I_\circ} is the amplitude of the current.

There was an error working with the wiki: Code[3] is the angular frequency.

{j = \sqrt{-1}}

The (small) electric field of the electromagnetic wave radiated by an element of current is:

::dE_\theta(t+There was an error working with the wiki: Code[4])={-d\ell j\omega \over 4\pi\varepsilon_\circ c^2} {\sin\theta \over r} e^{j\omega t}\,

And for the time {t}\,:

::dE_\theta(t)={-d\ell j\omega \over 4\pi\varepsilon_\circ c^2} {\sin\theta \over r} e^{j\left(\omega t-{\omega\over c}r\right)}\,

The electric field of the electromagnetic wave radiated by an antenna formed by wires is the sum of all the electric fields radiated by all the small elements of current. This addition is complicated by the fact that the direction and phase of each of the electric fields are, in general, different.

##### Practical antennas

Although any circuit can radiate if driven with a signal of high enough frequency, most practical antennas are specially designed to radiate efficiently at a particular frequency. An example of an inefficient antenna is the simple Hertzian There was an error working with the wiki: Code[157], which radiates over wide range of frequencies and is useful for its small size. A more efficient variation of this is the half-wave dipole, which radiates with high efficiency when the signal wavelength is twice the There was an error working with the wiki: Code[158] of the antenna.

One of the goals of antenna design is to minimize the reactance of the device so that it appears as a resistive load. An "antenna inherent reactance" includes not only the distributed reactance of the active antenna but also the natural reactance due to its location and surroundings (as for example, the capacity relation inherent in the position of the active antenna relative to ground). Reactance diverts energy into the reactive field, which causes unwanted currents that heat the antenna and associated wiring, thereby wasting energy without contributing to the radiated output. Reactance can be eliminated by operating the antenna at its There was an error working with the wiki: Code[159], when its capacitive and inductive reactances are equal and opposite, resulting in a net zero reactive current. If this is not possible, compensating inductors or capacitors can instead be added to the antenna to cancel its reactance as far as the source is concerned.

Once the reactance has been eliminated, what remains is a pure resistance, which is the sum of two parts: the ohmic resistance of the conductors, and the There was an error working with the wiki: Code[160]. Power absorbed by the ohmic resistance becomes waste heat, and that absorbed by the radiation resistance becomes radiated electromagnetic energy. The greater the ratio of radiation resistance to ohmic resistance, the more efficient the antenna.

#### Antennas in reception

The gain in any given direction and the impedance at a given frequency are the same when the antenna is used in transmission or in reception. The electric field of an electromagnetic wave induces a small voltage in each small segment in all electric conductors. The induced voltage depends on the electrical field and the conductor length. The voltage depends also on the relative orientation of the segment and the electrical field. Each small voltage induce a current and these currents circulate trough a small part of the antenna impedance. The result of all those currents and tensions is far from immediate. However, using the There was an error working with the wiki: Code[161], it is possible to prove that the Thévenin There was an error working with the wiki: Code[162] of a receiving antenna is:

V_a={\sqrt{R_aG_a}\,\lambda\cos\psi\over\sqrt{\pi Z_\circ}}E_b

{V_a} is the Thévenin equivalent circuit tension.

{Z_a} is the Thévenin equivalent circuit impedance and is the same as the antenna impedance.

{R_a} is the series resistive part of the antenna impedance {Z_a}\,.

{G_a} is the directive gain of the antenna (the same as in emission) in the direction of arrival of electromagnetic waves.

{\lambda} is the wavelength.

{E_B} is the electrical field of the incoming electromagnetic wave.

{\psi} is the angle of misalignment of the electrical field of the incoming wave with the antenna. For a There was an error working with the wiki: Code[163], the maximum induced voltage is obtained when the electrical field is parallel to the dipole. If this is not the case and they are misaligned by an angle {\psi}, the induced voltage will be multiplied by {\cos\psi}.

{Z_\circ=\sqrtThere was an error working with the wiki: Code[5]= 376.730313461 \Omega} is an universal constant called There was an error working with the wiki: Code[164].

The equivalent circuit and the formula at right are valid for any type of antenna. It can be as well a There was an error working with the wiki: Code[165], a There was an error working with the wiki: Code[166], a There was an error working with the wiki: Code[167], or an There was an error working with the wiki: Code[168]. From this formula, it is easy to prove the following definitions:

:: Antenna effective length = There was an error working with the wiki: Code[6]}} \,

is the length which, multiplied by the electrical field of the received wave, give the voltage of the Thévenin equivalent antenna circuit.

:: Maximum available power={{G_a\lambda^2\over 4\pi Z_\circ}E_b^2} \,

is the maximum power that an antenna can extract from the incoming electromagnetic wave.

:: Cross section or effective capture surface = {{G_a\over4\pi}\lambda^2} \,

is the surface which multiplied by the power per unit surface of the incoming wave, gives the maximum available power.

The maximum power that an antenna can extract from the electromagnetic field depends only on the gain of the antenna and the squared wavelength {\lambda}. It does not depend on the antenna dimensions.

Using the equivalent circuit, it can be shown that the maximum power is absorbed by the antenna when it is terminated with a load matched to the antenna input impedence. This also implies that under matched conditions, the amount of power re-radiated by the receiveing antenna is equal to that absorbed.

#### Effect of ground

At frequencies used in antennas, the ground behaves mainly as a Dielectric. The conductivity of ground at these frequencies is negligible. When an electromagnetic wave arrives at the surface of an object, two waves are created: one enters the dielectric and the other is reflected. Is the object is a conductor, the transmitted wave is negligible and the reflected wave has almost the same amplitude as the incident one. When the object is a dielectric, the fraction reflected depends (among others things) on the There was an error working with the wiki: Code[169]. When the angle of incidence is small (that is, the wave arrives almost perpendicularly) most of the energy traverses the surface and very little is reflected. When the angle of incidence is near 90° (grazing incidence) almost all the wave is reflected.

Most of the electromagnetic waves emitted by an antenna to the ground below the antenna at moderate (say < 60°) angles of incidence enter the earth and are absorbed (lost). But waves emitted to the ground at gracing angles, far from the antenna, are almost totally reflected. At grazing angles, the ground behaves as a mirror. Quality of reflection depends on the nature of the surface. When the irregularities of the surface are smaller than the wavelength reflection is good.

This means that the receptor "sees" the real antenna and, under the ground, the image of the antenna reflected by the ground. If the ground has irregularities, the image will appear fuzzy.

If the receiver is placed at some height above the ground, waves reflected by ground will travel a little longer distance to arrive to the receiver than direct waves. The distance will be the same only if the receiver is close to ground.

In the drawing at right, we have draw an angle of incidence {\theta} far bigger than in reality. Distance between the antenna and its image is {d}.

Situation is a bit more complex because the reflection of electromagnetic waves depends on the There was an error working with the wiki: Code[170] of the incident wave. As the There was an error working with the wiki: Code[171] of the ground (average value {\simeq 2}) is bigger than the refractive index of the air ({\simeq 1}), the direction of the component of the electric field parallel to the ground inverses at the reflection. This is equivalent to a phase shift of {\pi} radians or 180°. The vertical component of the electric field reflects without changing direction. This sign inversion of the parallel component and the non-inversion of the perpendicular component would also happen if the ground were a good electrical conductor.

This means that a receiving antenna "sees" the image antenna with the current in the same direction if the antenna is vertical or with the current inverted if the antenna is horizontal.

For a vertical There was an error working with the wiki: Code[49] emission antenna the far electric field of the electromagnetic wave produced by the direct ray plus the reflected ray is:

::{\left|E_\perp\right|=2\left|E_{\theta_1}\right|\left|\cos\left({kd\over2}\sin\theta\right) \right|}

The sign inversion for the parallel field case just changes a cosine to a sinus:

::{\left|E_=\right|=2\left|E_{\theta_1}\right|

\left|\sin\left({kd\over2}\sin\theta\right) \right|}

In these two equations:

{E_{\theta_1}} is the electrical field radiated by the antenna if there were no ground.

{k={2\pi\over\lambda}} is the There was an error working with the wiki: Code[172].

{\lambda} is the There was an error working with the wiki: Code[173].

{d} is the distance between antenna and its image (twice the height of the center of the antenna).

For emitting and receiving antenna situated near the ground (in a building or a mast) far form each other, distances traveled by direct and reflected rays are nearly the same. There is no induced phase shift. If the emission is polarized vertically the two fields (direct and reflected) adds and there is maximum of received signal. Is the emission is polarized horizontally the two signals subtracts and the received signal is minimum. This is depicted in the image at right. In the case of vertical polarization, there is always a maximum at earth level (left pattern). For horizontal polarization, there is always a minimum at earth level. Note that in these drawings the ground is considered as a perfect mirror, even for low angles of incidence. In these drawings the distance between the antenna and its image is jus a few wavelengths. For greater distances, the number of lobes increases.

Note that the situation is different – and more complex – if reflections in the ionosphere occur. This happens for very long distances (thousands of kilometers). There is not a direct ray but several reflected rays that add with different phase shifts.

This is the reason why almost all public address radio emissions have vertical polarization. As public uses to be near ground, horizontal polarized emissions would be poorly received. Observe household and automobile radio receivers. They all have vertical antennas or horizontal There was an error working with the wiki: Code[50], the emitter and receivers in There was an error working with the wiki: Code[51] electromagnetic waves.

Classical (analog) television emissions are an exception. They are almost always horizontally polarized. The reason is that in urbanized zones it is unlikely that a good emitter antenna image appears. This is, of course, due to buildings. But these same buildings reflect the electromagnetic waves and can create There was an error working with the wiki: Code[52]. Using horizontal polarization, reflections are attenuated because of the low reflection of electromagnetic waves polarized parallel to the dielectric surface near the There was an error working with the wiki: Code[174]. Vertically polarized analog television has been used in some rural areas.

In There was an error working with the wiki: Code[175] reflections are less annoying because of the type of modulation.

#### Mutual impedance and antennas interaction

Current circulating in any antenna induces currents in all others. One can postulate a mutual impedance {Z_{12}} between two antennas that has the same significance as the {j\omega M} in ordinary There was an error working with the wiki: Code[53]. The mutual impedance {Z_{12}} between two antennas is defined as:

::Z_{12}={v_2\over i_1}

where {i_{1}} is the current flowing in antenna 1 and {v_2} is the voltage that would have to be applied to antenna 2 – with antenna 1 removed – to produce the current in the antenna 2 that was produced by antenna 1.

From this definition, a matrix can be constructed in which the currents and voltages applied in a set of coupled antennas. Note that, as is the case for mutual inductances,

::{Z_{ij}\,= \,Z_{ji}}

If some of the elements are not fed (there is a short circuit instead a feeder cable), as is the case in television antennas (There was an error working with the wiki: Code[54]), the corresponding {v_i} are zero. Those elements are called There was an error working with the wiki: Code[176]s. Despite their name, parasitic elements are not useless but most useful.

In some geometrical settings, the mutual impedance between antennas can be zero. This is the case for crossed dipoles used in circular polarization antennas.

#### Wifi : Building an antenna

There was an error working with the wiki: Code[177] is a fantastic new gadget, but out of the box its reach is only about 50 to 100 meters. Fortunately it is possible to build your own antenna cheaply (less then 10 US dollars or euros) in an hour or two.

A cantenna is a directional There was an error working with the wiki: Code[55] There was an error working with the wiki: Code[56] for long-range There was an error working with the wiki: Code[57] (cf. There was an error working with the wiki: Code[58]) which can be used to increase the range (or snoop on) a wireless network. Originally employing a Pringle's® Potato Chip can, a cantenna can be constructed quickly, easily, and inexpensively out of readily obtained materials. It requires four small nuts/bolts, a short length of medium gauge wire, a tin can roughly 9 cm (3.66 inches) in diameter, the longer the better, and an N-Female chassis mount collector, which can be purchased at any electronic supply store. The original design employed a Pringle's can, but an optimal design will use a longer tin can. Instructions for constructing and connecting a cantenna can be found at Turnpoint.net.

While cantennas are useful for extending a local-area network (There was an error working with the wiki: Code[59]), the tiny design makes them ideal for mobile applications, such as There was an error working with the wiki: Code[60]. Its design is so simple and ubiquitous that it is often the first antenna that There was an error working with the wiki: Code[61] experimenters learn to build. Even the Secret Service has taken an interest in the can antenna.

How to make a Cantenna

You'll need

An N-Female chassis mount connector

::One side is N-female for connecting the cable from your wireless equipment, and the other side has a small brass stub for soldering on wire. These can be found at electronics stores internet suppliers (see the list below under "Connect your antenna..." If you shop around, you should be able to find these for $3-$5.

Four small nuts and bolts

A bit of thick wire

A can

::The diameter of the can should be around 8.3 cm. The cappuccino cans available at There was an error working with the wiki: Code[62] supermarkets are very close to the ideal diameter..

#### List of antenna related terms

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Acceptance pattern

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#### Related

Antenna Measurements

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Electromagnetism

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#### Notes

In the context of engineering and physics, the plural of antenna is "antennas", and it has been this way since about 1950 (or earlier), when a cornerstone textbook in this field, Antennas, was published by John D. Kraus of the Ohio State University. Besides the title, Dr. Kraus noted this in a footnote on the first page of his book. Insects may have "antennae" but not in technical contexts.

#### External articles and references

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General

"Salvan: Cradle of Wireless, How Marconi Conducted Early Wireless Experiments in the Swiss Alps", Fred Gardiol & Yves Fournier, Microwave Journal, February 2006, pp. 124-136.

"Practical antennas" references

How to Become An Antenna Guru by Dan Warren

Do-It-Yourself Wireless Antenna Update, extend your signal

Why an Antenna Radiates at ARRL

General websites