Folded unipole antenna

Last updated
Modern folded unipole antenna with six skirt wires surrounding a round solid metal mast. The skirt wires are held away from the mast by stand-off posts with insulated ends. FoldedUnipoleElevation.jpg
Modern folded unipole antenna with six skirt wires surrounding a round solid metal mast. The skirt wires are held away from the mast by stand-off posts with insulated ends.

The folded unipole antenna is a type of monopole mast radiator antenna used as a transmitting antenna mainly in the medium wave band for AM radio broadcasting stations. It consists of a vertical metal rod or mast mounted over and connected at its base to a grounding system consisting of buried wires. The mast is surrounded by a "skirt" of vertical wires electrically attached at or near the top of the mast. The skirt wires are connected by a metal ring near the mast base, and the feedline feeding power from the transmitter is connected between the ring and the ground.

Contents

It has seen much use for refurbishing medium wave AM broadcasting station towers in the United States and other countries. When an AM radio station shares a tower with other antennas such as FM broadcasting antennas, the folded unipole is often a good choice. Since the base of the tower connects to the ground system, unlike in an ordinary mast radiator tower in which the base is at high voltage, the transmission lines to any antennas mounted on the tower, as well as aircraft lighting power lines, can be run up the side of the tower without requiring isolators. [1]

Invention

The folded unipole antenna was first devised for broadcast use by John H. Mullaney, an American radio broadcast pioneer, and consulting engineer. [2] It was designed to solve some difficult problems with existing medium wave (MW), frequency modulation (FM), and amplitude modulation (AM) broadcast antenna installations.

Typical installation

Folded unipole with only three skirt wires mounted off the corners of a standard triangular frame mast. (The close-in wire on the left side of the image is an incidental guy wire in the foreground.) FoldedUnipoleThreeWire.jpg
Folded unipole with only three skirt wires mounted off the corners of a standard triangular frame mast. (The close-in wire on the left side of the image is an incidental guy wire in the foreground.)

Since folded unipoles are most often used for refurbishing old broadcast antennas, the first subsection below describes a typical monopole antenna used as a starting point. The subsection that follows next describes how surrounding skirt wires are added to convert an ordinary broadcast tower into a folded unipole.

The picture at the right shows a small folded unipole antenna constructed from an existing triangular monopole tower; it has only three vertical wires comprising its "skirt".

Conventional monopole antennas

A typical monopole transmitting antenna for an AM radio station is a series-fed mast radiator; a vertical steel lattice mast which is energized and radiates radio waves. One side of the feedline which feeds power from the transmitter to the antenna is connected to the mast, the other side to a ground (electricity) system consisting of buried wires radiating from a terminal next to the base of the mast. The mast is supported on a thick ceramic insulator which isolates it electrically from the ground. US FCC regulations require the ground system to have 120 buried copper or phosphor bronze radial wires at least one-quarter wavelength long; there is usually a ground-screen in the immediate vicinity of the tower. To minimize corrosion, all the ground system components are bonded together, usually by using brazing or coin silver solder.

The mast has diagonal guy cables attached to it, anchored to concrete anchors in the ground, to support it. The guy lines have strain insulators in them to isolate them electrically from the mast, to prevent the high voltage from reaching the ground. To prevent the conductive guy lines from disturbing the radiation pattern of the antenna, additional strain insulators are sometimes inserted in the lines to divide them into a series of short, electrically separate segments, to ensure all segments are too short to resonate at the operating frequency.

In the U.S., the Federal Communications Commission (FCC) requires that the transmitter power measurements for a single series-fed tower calculated at this feed point as the current squared multiplied by the resistive part of the feed-point impedance.

Electrically short monopole antennas have low resistance and high capacitive (negative) reactance. Depending on desired recipients and the surrounding terrain, and particularly depending on locations of spacious expanses of open water, a longer antenna may tend to send signals out in directions that are increasingly more advantageous, up to the point that the antenna's electrical height exceeds about 5/ 8   wavelengths tall.

Reactance is zero only for towers slightly shorter than 1/ 4   wavelength, but the reactance will in any case rise or fall depending on humidity, dust, salty spume, or ice collecting on the tower or its feedline. Regardless of its height, the antenna feed system has an impedance matching system housed in a small shed at the tower's base (called a "tuning hut" or "coupling hut" or "helix hut"). The matching network is adjusted to join the antenna's impedance to the characteristic impedance of the feedline joining it to the transmitter. If the tower is too short (or too tall) for the frequency, the antenna's capacitive (or inductive) reactance will be counteracted the opposite reactance by the matching network, as well as raising or lowering the feedpoint resistance of the antenna to match the feedline's characteristic impedance. The combined limitations of the matching network, ground wires, and tower can cause the system to have a narrow bandwidth; in extreme cases the effects of narrow bandwidth can be severe enough to detract from the audio fidelity of the radio broadcast.

Electrically short antennas have low radiation resistance, which makes normal loss in other parts of the system relatively more costly in terms of lost broadcast power. The losses in the ground system, matching network(s), feedline wires, and structure of the tower all are in series with the antenna feed current, and each wastes a share of the broadcast power heating the soil or metal in the tower.

Folded unipole antennas

Heuristically, the unipole's outer skirt wires can be thought of as attached segments of several tall, narrow, single-turn coils, all wired in parallel, with the central mast completing the final side of each turn.[ citation needed ] Equivalently, each skirt wire makes a parallel wire stub, with the mast being the other parallel "wire"; the closed end at the top of the stub, where the skirt connects to the mast, makes a transmission line stub inductor. Either way of looking at it, the effect of the skirt wires is to add inductive reactance to the antenna mast, which helps neutralize a short mast's capacitive reactance.[ citation needed ]

For the normal case of a short monopole, the inductive reactance introduced by the skirt wires decreases as the frequency decreases and the bare mast's capacitive reactance increases. With increasing frequency, up to frequency where the skirt is a quarter wavelength, the inductive reactance rises and capacitive reactance drops. So for a short antenna, the skirt's inductance and the mast's capacitance can only cancel at a single frequency, since the reactance magnitudes increase and decrease in opposite manner with frequency.

With a longer antenna mast, at least a quarter-wave tall, the reactances can be more elaborately configured: The contrary reactances can be made to cancel each other at more than one frequency, at least in part, and to rise and fall by approximately the same amount. Approximate balance between the opposing reactances adds up to reduce the total reactance of the whole antenna at the decreased (and increased) frequencies, thus widening the antenna's low-reactance bandwidth. [1] [lower-alpha 1] However, there is nothing particularly remarkable about a longer antenna having a wider low-reactance bandwidth.

If the greater part of the unbalanced radio current can be made to flow in the skirt wires, instead of in the mast, the outer ring of skirt wires will also effectively add electrical width to the mast, which also will improve bandwidth by causing the unbalanced currents in the unipole to function like a "cage antenna".

Modern folded unipole feed point, where the radio frequency excitation current will be measured. The connection ring that attaches to the skirt wires is a simple loop of fairly thin wire cutting across the top edge of the image. The stout vertical bars tighten the skirt: Near the top of the picture, the bars' connections to the skirt wires are insulated; their other ends fasten to the support truss anchored on the ground, near the bottom of the image. FoldedUnipoleFeedPoint.jpg
Modern folded unipole feed point, where the radio frequency excitation current will be measured. The connection ring that attaches to the skirt wires is a simple loop of fairly thin wire cutting across the top edge of the image. The stout vertical bars tighten the skirt: Near the top of the picture, the bars' connections to the skirt wires are insulated; their other ends fasten to the support truss anchored on the ground, near the bottom of the image.

Usually folded-unipoles are constructed by modifying an existing monopole antenna, and not all possible unipole improvements can be achieved on every monopole.

The resulting skirt enveloping the mast connects only at the tower top, or some midpoint near the top, and to the isolated conducting ring that surrounds the tower base; the skirt wires remain insulated from the mast at every other point along its entire length. [1] [3]

Unipole electrical operation and design

Balanced and unbalanced currents are important for understanding antennas, because unbalanced current always radiates, and close-spaced balanced current never radiates. The following sketch of how a unipole antenna works separately considers the "balanced" and "unbalanced" currents flowing through the antenna. Their sum is equivalent to the actual current seen in any one conductor.

Total current broken into balanced and unbalanced parts

By the electrical superposition principle, the total currents flowing in the antenna can be considered as split into the sum of independent balanced and unbalanced currents. The balanced and unbalanced parts of the antenna's currents add to make the "true" current profile; equivalently, if we call the "true" current measured flowing through the mast and the sum of all the "true" currents measured in the skirt wires (by symmetry assumed to all be the same) then the balanced and unbalanced parts of the "true" currents are

and

Going the other way, the "true" currents in the mast and skirt, from the conceptual balanced and unbalanced currents are

and

So as an example, from a simplified point of view, the distinction between an antenna and its feedline, is that the balanced current flows anti-parallel in the feedline, which does not radiate, and is rechanneled into unbalanced, vector parallel paths inside the antenna, which do radiate.

Balanced feed current

The electrical behavior of the skirt and mast can be thought of as similar to a coaxial feedline, with the skirt corresponding to the coax's outer shield, and the mast serving as the core wire, or center conductor. The connection of the skirt and mast at the top acts as a short at the end of the virtual coax, and because the "coax" is, by design, less than a quarter wave long at the attachment point it is effectively an inductive shorted stub. Regardless of the configured skirt and mast sizes and spacing, which determine the impedance seen by the balanced current, the feed current circulating through the skirt and the mast produce a voltage difference between the top and the skirt feed point and between the top and ground plane which is half of the voltage difference between the feedpoint and the ground (possibly with exceedingly minor variations).

The only current considered so-far is balanced: The same total feed current rises up the skirt wires as flows down through the mast to the ground-level feedpoint (or vice versa), and back through the (balanced) feedline, making an electrically closed circuit. The magnetic fields of the current flowing up are equal and opposite to the current flowing down, so the magnetic fields (very nearly) all cancel, and consequently balanced currents (mostly) do not radiate. So the situation on the antenna after considering just the balanced feed current is that it creates a voltage difference between the antenna top and the ground plane, and nothing in terms of radio waves. That voltage difference serves as an electrical exciter of an unbalanced current.

Unbalanced radiating current

If one then considers separately the antenna from the "point of view" of any prospective unbalanced current, it sees an unbalanced voltage between the connection point near the top of the mast and the ground plane at the antenna base. (For RF analysis, the backwards path through the feedpoint to the radio is treated as a virtual path to ground, ignoring the balanced feed current.) The self-cancelled balanced currents won't electrically affect the unbalanced currents (other than having created the voltage difference in common to all), although they do add to make the "true" current profile in the antenna.

There are two possible paths that unbalanced current can take in response to the voltage difference between the top and the bottom: Either down (or up) through the mast, or down (or up) through the skirt wires. Because the currents along each path are driven by the same voltage, they will flow in the same direction. The current divides in proportion to the admittance (reciprocal impedance) of each path to ground. The amount of current along each path is determined by the sizes and number of the wire(s) along each path, and to some extent the mutual impedance of the adjacent conductors (mast and skirt wires) and the currents flowing in those wires (parallel currents in adjoining wires crowd out each other's magnetic fields, making it harder to push the current through). All unbalanced current radiates; the radiation from the several current paths all add.

Design choices and results

Compared to balanced currents through the same two conductors, the electrical impedance countering the flow of unbalanced currents is very high – roughly 500~600  Ω and higher, depending mostly on the wire diameter, but also rising with closer or larger parallel currents in adjacent wires. The impedance against the flow of balanced currents is roughly 300~500  Ω and lower, depending mostly on the spacing between the wires, dropping when wires are more closely spaced. Consequently, the flow of balanced current will tend to be larger in magnitude than its unbalanced counterpart, and the difference becomes greater the closer the conductors are spaced.

The electrical design of a unipole antenna lies in choosing the sizes and number of the skirt wires, their lengths, and (if possible) the size of the central mast, in order to adjust the relative impedances (or admittances) of the balanced and unbalanced current, in order to maximize radiation and to present a reactance-free balanced feedpoint impedance for the feedline. Other design considerations like cost of materials and ease of erection may lead to choices sub-optimal for electrical performance.

Because of the large number of free design parameters, compared to other antenna types, an exceedingly diverse variety of different unipole antennas can be made, and their performance will all be different. Unlike a commonly used antenna such as the simple doublet, there is no "typical unipole" performance figure. That being said, however, field testing discussed below shows that when just considering antenna efficiency, the power radiated per power fed to a unipole is very nearly the same as an ordinary monopole antenna with the same height: Other than the advantage of being able to tailor the feedpoint impedance, unipoles' performance appears to not be inherently superior to a basic monopole. It seems to boil down to just being an elaborately configurable feedpoint impedance matching system.

Performance comparisons

When a well-made folded-unipole replaces a decrepit antenna, or one with a poor original design, there will of course be an improvement in performance; the sudden improvement may be cause for mistakenly inferred superiority in the design.

Experiments show that folded-unipole performance is the same as other monopole designs: Direct comparisons between folded unipoles and more conventional vertical antennas of the same height, all well-made, and with nearly equivalent radiator widths, show essentially no difference in radiation pattern in actual measurements by Rackley, Cox, Moser, & King (1996) [4] and by Cox & Moser (2002). [5]

The expected wider bandwidth was also not found during antenna range tests of several folded unipoles. [4] [5]

Replaced shunt-fed antenna

Most commonly, folded-unipole designs were used to replace a shunt-fed antenna – a different broadcast antenna design that also has a grounded base. A "shunt-fed" (or "slant-wire") antenna comprises a grounded tower with the top of a sloping single-wire feed-line attached at a point on the mast that results in an approximate match to the impedance desired at the other end of the sloping feed-wire. [1] [lower-alpha 2] [lower-alpha 3]

If a well-made folded-unipole antenna replaced an aged-out slant-fed antenna, station engineers could notice a marked improvement in performance.[ citation needed ] Such improvements may have provoked conjectures that folded-unipole antennas had power gains, or other wonderful characteristics, but those suppositions are not borne out by radio engineering calculations.

Ground system maintenance

Sites of ground-mounted monopole antennas require landscape maintenance: Keeping weeds and grass covering the antenna's ground plane wires as short as possible, since green plants in between the antenna tower and the antenna ground system will dissipate power of the radio waves passing through them, reducing antenna efficiency. Folded-unipole antenna sites were alleged to be less affected by weeds and long grass on top of the ground wires that cause attenuation in other monopole antenna designs, but measurements show no such advantage. [4] [5]

Self-resonant unipole patents

A possible improvement over the basic folded-unipole antenna is the "self resonant" unipole antenna, described in U.S. patent 6,133,890 . [lower-alpha 4]

Another possible improvement to the folded unipole is described in U.S. patent 4,658,266 , which concerns a more carefully designed form of ground plane for use with all monopole types (only incidentally including folded unipoles).

See also

Footnotes

  1. Some proponents make additional performance claims about the resulting composite antenna allowing removal of almost all of the reactance only by design of the unipole, without the need for a separate tuning network.[ citation needed ]
  2. The point on the mast is almost always chosen to be slightly inductive, so that a series capacitor (low-loss) can tune out the remaining reactance on the feed-line. [6] (p 18‑6)
  3. When the feed wire drops parallel to the radiating element, instead of sloping away, the configuration is called a gamma match or gamma feed. [6] (pp 6‑11 – 6‑12,18‑5 – 18‑6)
  4. U.S. patent 6,133,890 abstract: A self-resonant vertically polarized folded unipole antenna for long wave (LW) [and] medium wave (MW) broadcasting, and for the 160 meter amateur radio band with a grounded tower connected to radially descending fold wires terminated near the base of the tower in an open polygonal ring, possibly a C-ring with a reactive load in series with this ring. This reactance cancels the reactive component of the antenna input impedance causing the input impedance to appear resistive at the feed point. This leads to outstanding linearity and bandwidth up to and possibly exceeding plus or minus 16 kHz, sometimes exceeding plus and minus 20 kHz.[ citation needed ]

Related Research Articles

In electrical engineering, electrical length is a dimensionless parameter equal to the physical length of an electrical conductor such as a cable or wire, divided by the wavelength of alternating current at a given frequency traveling through the conductor. In other words, it is the length of the conductor measured in wavelengths. It can alternately be expressed as an angle, in radians or degrees, equal to the phase shift the alternating current experiences traveling through the conductor.

<span class="mw-page-title-main">Antenna (radio)</span> Electrical device

In radio engineering, an antenna or aerial is the interface between radio waves propagating through space and electric currents moving in metal conductors, used with a transmitter or receiver. In transmission, a radio transmitter supplies an electric current to the antenna's terminals, and the antenna radiates the energy from the current as electromagnetic waves. In reception, an antenna intercepts some of the power of a radio wave in order to produce an electric current at its terminals, that is applied to a receiver to be amplified. Antennas are essential components of all radio equipment.

<span class="mw-page-title-main">Balun</span> Electrical device

A balun is an electrical device that allows balanced and unbalanced lines to be interfaced without disturbing the impedance arrangement of either line. A balun can take many forms and may include devices that also transform impedances but need not do so. Sometimes, in the case of transformer baluns, they use magnetic coupling but need not do so. Common-mode chokes are also used as baluns and work by eliminating, rather than rejecting, common mode signals.

<span class="mw-page-title-main">Twin-lead</span> Two-conductor flat cable used to carry radio frequency signals

Twin-lead cable is a two-conductor flat cable used as a balanced transmission line to carry radio frequency (RF) signals. It is constructed of two stranded or solid copper or copper-clad steel wires, held a precise distance apart by a plastic ribbon. The uniform spacing of the wires is the key to the cable's function as a transmission line; any abrupt changes in spacing would reflect some of the signal back toward the source. The plastic also covers and insulates the wires. It is available with several different values of characteristic impedance, the most common type is 300 ohm.

Radiation resistance is that part of an antenna's feedpoint electrical resistance caused by the emission of radio waves from the antenna. A radio transmitter excites with a radio frequency alternating current an antenna, which radiates the exciting energy as radio waves. Because the antenna is absorbing the energy it is radiating from the transmitter, the antenna's input terminals present a resistance to the current from the transmitter.

<span class="mw-page-title-main">Dipole antenna</span> Antenna consisting of two rod shaped conductors

In radio and telecommunications a dipole antenna or doublet is the simplest and most widely used class of antenna. The dipole is any one of a class of antennas producing a radiation pattern approximating that of an elementary electric dipole with a radiating structure supporting a line current so energized that the current has only one node at each end. A dipole antenna commonly consists of two identical conductive elements such as metal wires or rods. The driving current from the transmitter is applied, or for receiving antennas the output signal to the receiver is taken, between the two halves of the antenna. Each side of the feedline to the transmitter or receiver is connected to one of the conductors. This contrasts with a monopole antenna, which consists of a single rod or conductor with one side of the feedline connected to it, and the other side connected to some type of ground. A common example of a dipole is the "rabbit ears" television antenna found on broadcast television sets.

<span class="mw-page-title-main">Whip antenna</span> Type of radio antenna

A whip antenna is an antenna consisting of a straight flexible wire or rod. The bottom end of the whip is connected to the radio receiver or transmitter. A whip antenna is a form of monopole antenna. The antenna is designed to be flexible so that it does not break easily, and the name is derived from the whip-like motion that it exhibits when disturbed. Whip antennas for portable radios are often made of a series of interlocking telescoping metal tubes, so they can be retracted when not in use. Longer whips, made for mounting on vehicles and structures, are made of a flexible fiberglass rod around a wire core and can be up to 11 m long.

<span class="mw-page-title-main">Antenna tuner</span> Telecommunications device

An antenna tuner is a passive electronic device inserted into the feedline between a radio transmitter and its antenna. Its purpose is to optimize power transfer by matching the impedance of the radio to the signal impedance at the end of the feedline connecting the antenna to the transmitter.

<span class="mw-page-title-main">Cage aerial</span> Type of radio antenna

A cage antenna is a radio antenna where a conventional design has been augmented by replacing a single long conductor with several parallel wires, connected at their ends, and held in position by ring spacers or support struts mounted on a central mast. The "cage" is either mounted around a central mast or suspended from overhead wires.

<span class="mw-page-title-main">Mast radiator</span> Type of radio frequency antenna

A mast radiator is a radio mast or tower in which the metal structure itself is energized and functions as an antenna. This design, first used widely in the 1930s, is commonly used for transmitting antennas operating at low frequencies, in the LF and MF bands, in particular those used for AM radio broadcasting stations. The conductive steel mast is electrically connected to the transmitter. Its base is usually mounted on a nonconductive support to insulate it from the ground. A mast radiator is a form of monopole antenna.

<span class="mw-page-title-main">T-antenna</span> Type of radio antenna

A ‘T’-antenna, ‘T’-aerial, or flat-top antenna is a monopole radio antenna consisting of one or more horizontal wires suspended between two supporting radio masts or buildings and insulated from them at the ends. A vertical wire is connected to the center of the horizontal wires and hangs down close to the ground, connected to the transmitter or receiver. The shape of the antenna resembles the letter "T", hence the name. The transmitter power is applied, or the receiver is connected, between the bottom of the vertical wire and a ground connection.

<span class="mw-page-title-main">J-pole antenna</span>

The J-pole antenna, more properly known as the J antenna, is a vertical omnidirectional transmitting antenna used in the shortwave frequency bands. It was invented by Hans Beggerow in 1909 for use in Zeppelin airships. Trailed behind the airship, it consisted of a single one half wavelength long wire radiator, in series with a quarter-wave parallel transmission line tuning stub that matches the antenna impedance to the feedline. By 1936 this antenna began to be used for land-based transmitters with the radiating element and the matching section mounted vertically, giving it the shape of the letter "J", and by 1943 it was named the J antenna. When the radiating half-wave section is mounted horizontally, at right-angles to the quarter-wave matching stub, the variation is usually called a Zepp antenna.

A loop antenna is a radio antenna consisting of a loop or coil of wire, tubing, or other electrical conductor, that for transmitting is usually fed by a balanced power source or for receiving feeds a balanced load. Within this physical description there are two distinct types:

<span class="mw-page-title-main">Monopole antenna</span> Type of radio antenna

A monopole antenna is a class of radio antenna consisting of a straight rod-shaped conductor, often mounted perpendicularly over some type of conductive surface, called a ground plane. The driving signal from the transmitter is applied, or for receiving antennas the output signal to the receiver is taken, between the lower end of the monopole and the ground plane. One side of the antenna feedline is attached to the lower end of the monopole, and the other side is attached to the ground plane, which is often the Earth. This contrasts with a dipole antenna which consists of two identical rod conductors, with the signal from the transmitter applied between the two halves of the antenna.

A radio transmitter or receiver is connected to an antenna which emits or receives the radio waves. The antenna feed system or antenna feed is the cable or conductor, and other associated equipment, which connects the transmitter or receiver with the antenna and makes the two devices compatible. In a radio transmitter, the transmitter generates an alternating current of radio frequency, and the feed system feeds the current to the antenna, which converts the power in the current to radio waves. In a radio receiver, the incoming radio waves excite tiny alternating currents in the antenna, and the feed system delivers this current to the receiver, which processes the signal.

In RF engineering, radial has three distinct meanings, both referring to lines which radiate from a radio antenna, but neither meaning is related to the other.

<span class="mw-page-title-main">Umbrella antenna</span>

An umbrella antenna is a capacitively top-loaded wire monopole antenna, consisting in most cases of a mast fed at the ground end, to which a number of radial wires are connected at the top, sloping downwards. One side of the feedline supplying power from the transmitter is connected to the mast, and the other side to a ground (Earthing) system of radial wires buried in the earth under the antenna. They are used as transmitting antennas below 1 MHz, in the MF, LF and particularly the VLF bands, at frequencies sufficiently low that it is impractical or infeasible to build a full size quarter-wave monopole antenna. The outer end of each radial wire, sloping down from the top of the antenna, is connected by an insulator to a supporting rope or cable anchored to the ground; the radial wires can also support the mast as guy wires. The radial wires make the antenna look like the wire frame of a giant umbrella hence the name.

A shortwave broadband antenna is a radio antenna that can be used for transmission of any shortwave radio band from among the greater part of the shortwave radio spectrum, without requiring any band-by-band adjustment of the antenna. Generally speaking, there is no difficulty in building an adequate receiving antenna; the challenge is designing an antenna which can be used for transmission without an adjustable impedance matching network.

<span class="mw-page-title-main">Halo antenna</span> Omnidirectional circular bent dipole antenna

A halo antenna, or halo, is a center-fed  1 /2 wavelength dipole antenna, which has been bent into a circle, with a break directly opposite the feed point. The dipole's ends are close, but do not touch, and their crossections may be broadened to form an air capacitor, whose spacing is used to adjust the antenna's resonant frequency. Most often mounted horizontally, this antenna's radiation is then approximately omnidirectional and horizontally polarized.

In radio systems, many different antenna types are used whose properties are especially crafted for particular applications. Antennas can be classified in various ways. The list below groups together antennas under common operating principles, following the way antennas are classified in many engineering textbooks.

References

  1. 1 2 3 4 5 Raines, Jeremy K. (2007). Folded Unipole Antennas: Theory and Applications. New York, NY: McGraw-Hill.
  2. USpatent 3482249,John H. Mullaney,"Broadband tower antenna system",published 1969-12-02,issued 1969-12-02, assigned to Multronics Inc. expired 1986-12-02
  3. 1 2 Raines, Jeremy K. (January 2009). "Simple formulas for folded antennas" (PDF). Microwave Journal (electronic ed.). Archived from the original (PDF) on 2009-02-05.
  4. 1 2 3 Rackley, Ronald D.; Cox, Bobby L.; Moser, James R.; King, Tom F. (16 April 1996). An efficiency comparison: AM/medium wave series-fed vs. skirt-fed radiators (PDF). National Association of Broadcasters Engineering Conference. Las Vegas, NV. Archived from the original (PDF) on 29 September 2011. Retrieved 18 July 2011.
  5. 1 2 3 Cox, Bobby L.; Moser, James R. (2002). Folded-Unipole Antenna Study (PDF) (Report). Archived from the original (PDF) on 14 July 2006. Retrieved 10 September 2006.
  6. 1 2 Straw, R. Dean; et al., eds. (2000). "§6 Shunt-fed tower; §18 Gamma match; §18 Folded dipole". ARRL Antenna Book (19th ed.). Newington, CT: American Radio Relay League. pp. 6‑11–6‑12, 18‑5–18‑6.