Abstract
In radio-frequency (RF) circuits, the signal energy is transported along waveguides in the form of a guided electromagnetic wave. Most waveguides rely on currents and charges on metallic structures, and electric and magnetic fields are related to them. On the other hand, the plane wave is a well-known solution of Maxwell’s equations. In a plane wave, electric and magnetic fields interact, and there are no currents nor charges required for the existence of the wave.
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Notes
- 1.
As a professor in Karlsruhe, Germany, Heinrich Hertz (February 22, 1857, to January 1, 1894) demonstrated in 1886 that analogous to light waves, electromagnetic waves can be refracted and reflected and are propagated like light waves. In his experiments, he employed short dipole antennas and small loop antennas to transmit and receive the waves.
- 2.
The use of terms “directional” and “omnidirectional” for describing a radiation pattern with rotational symmetry is ambiguous. A pattern with a sharply focused beam is called directional even though there might be rotational symmetry. Without a single focused beam, but still featuring rotational symmetry, it is called omnidirectional. Note also that the term “isotropic” for a radiation pattern relates to a unique pattern with the same radiated field strength in all directions. An isotropic radiator of electromagnetic waves is physically impossible, but such radiator serves as a hypothetical reference antenna in several definitions, such as directivity, and in the treatment of array antennas.
- 3.
Some older literature may use the unit “dBd”, denoting the reference of the half-wavelength dipole antenna as a reference. Since the maximum directivity of the half-wavelength dipole is 2.16, or 1.76 dBi, numbers in “dBi” are larger than those in “dBd” by 1.76, for the same antenna.
- 4.
In some literature, the efficiency reflects also impedance mismatch between antenna and feedline (causing reflection) and polarization mismatch between antenna and incident wave. These two effects can be seen as due to the system and not due to the antenna, and accordingly, the definition of IEEE reflects conductive and dielectric loss only. Note that the term of “aperture efficiency” describes something completely different, namely the level of compactness or area usage of an aperture antenna, and should not be mistaken with the efficiency discussed here.
- 5.
Exceptions are, for example, antennas close to or including high-loss media, such as biological tissue or salt water, as well as antennas including non-linear or time-variant elements, such as rectifying diodes or switches, as well as antennas including non-reciprocal materials, such as ferrites or plasma.
- 6.
The occasionally used “antenna factor” relates the electric field strength if the incident wave to the output voltage at the antenna feed point when connected to a 50 Ω load. Direction of the incident wave and its polarization are implicitly considered in the scenario.
- 7.
Harald Trap Friis (February 22, 1883 to June 15, 1976) published the equation in 1946 while working as engineer with Bell Labs in Holmdel/NJ.
- 8.
The image principle is applied in a similar way in electrostatics. To calculate the electric field, or the potential, in the half-space above a perfectly conducting plane, caused by a charge placed at some distance above that plane, the charges induced in the perfect conductor need to be calculated first, followed by the superposition of all electric field contributions of all charges (the original chare and all induced charges). It is much simpler to assume an image charge of opposite polarity on the other side of the perfectly conducting plane, then to remove that plane, and finally to superpose the fields of original charge and image charge.
- 9.
- 10.
Laurent Cassegrain (1629 to August 31, 1693), a French priest and college teacher, invented the telescope named after him in about 1671.
- 11.
James Gregory (1638–1675), a Scottish astronomer and mathematician, described the telescope named after him in 1663.
- 12.
Rudolf Karl Luneburg (March 30, 1903, to August 19, 1949), German physicist and mathematician, immigrated to the US in 1935. As a lecturer at Brown University, Providence, RI, he described in 1944 the class of lenses named after him.
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Hesselbarth, J. (2023). Antennas. In: Hartnagel, H.L., Quay, R., Rohde, U.L., Rudolph, M. (eds) Fundamentals of RF and Microwave Techniques and Technologies. Springer, Cham. https://doi.org/10.1007/978-3-030-94100-0_6
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