By E.V. Jull
Substitute tools of aperture antenna research are defined during this book.
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Additional resources for Aperture antennas and diffraction theory
5,fcjand k2 are defined by eqn. 5. Clearly as r -* °°, |3 -> 0 and eqn. 5 becomes eqn. 4. The integrals of eqn. 5 are more involved than those for the far-field radiation pattern but for simple aperture distributions they can be reduced to Fresnel integrals. For example, the uniform distribution Ex (x) = 1 in eqn. 8) are tabulated (Jahnke and Emde, 1945; Abramowitz and Stegun, 1964). Computer subroutines are also usually available. The near-field pattern for a cosinusoidal distribution can be treated similarly.
A distribution similar to Fig. 3 might appear in the aperture of a parabolic reflector antenna. Then the aperture edge illumination can be altered through the feed directivity to provide the secondary pattern desired. Fig. 4 shows the pattern halfpower beamwidth for the aperture distribution given by eqn. 15 as well as for other distributions. 24 Fourier transform representation of aperture patterns The effect of aperture blockage by a reflector feed or subreflector also can be investigated by the present theory.
2) where kt and k2 are defined by eqn. 5. Following Collin and Zucker (1969, p. 562), it is instructive to examine this radiation field for a narrow half-wave slot in a conducting screen. With ka < 1 and kb = 7T, eqn. 3) where F o = ^o^ is the voltage across the slot. 4) 54 Applications of aperture theory to antennas an omnidirectional pattern. y-axis, with a change in polarisation. The magnetic field of the dipole corresponds to the electric field of the slot in accordance with the electromagnetic form of Babinet's principle (Booker 1946).
Aperture antennas and diffraction theory by E.V. Jull