Antenna Handbook: Theory, Applications, and Design by Shung-Wu Lee (auth.), Y. T. Lo, S. W. Lee (eds.)

By Shung-Wu Lee (auth.), Y. T. Lo, S. W. Lee (eds.)

Techniques according to the tactic of modal expansions, the Rayleigh-Stevenson growth in inverse powers of the wavelength, and in addition the tactic of moments resolution of indispensable equations are primarily constrained to the research of electromagnetic radiating constructions that are small when it comes to the wavelength. It consequently turns into essential to hire approximations in keeping with "high-frequency options" for acting a good research of electromagnetic radiating structures which are huge by way of the wavelength. the most flexible and precious high-frequency strategies is the geometrical concept of diffraction (GTD), which used to be built round 1951 by means of J. B. Keller [1,2,3]. a category of diffracted rays are brought systematically within the GTD through a generalization of the innovations of classical geometrical optics (GO). in keeping with the GTD those diffracted rays exist as well as the standard incident, mirrored, and transmitted rays of cross. The diffracted rays within the GTD originate from sure "localized" areas at the floor of a radiating constitution, similar to at discontinuities within the geometrical and electric homes of a floor, and at issues of grazing prevalence on a gentle convex floor as illustrated in Fig. 1. particularly, the diffracted rays can input into the pass shadow in addition to the lit areas. for this reason, the diffracted rays totally account for the fields within the shadow quarter the place the pass rays can't exist.

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Z m=1 n=1 x a Fig. 18. A rectangular waveguide. (103a) (103b) Fundamentals and Mathematical Techniques 1-38 In (103a) the prime signifies that the term with m = n = 0 is omitted in the summation. The propagation constants Ymn for either TEmn or TMmn are given by Ymn = ve - (mn/a)2 - (104) (nn/b)2 The square-root convention stated in (96) should be observed. The field components for the (m,n)th mode calculated from (82) and (83) are (105a) (105b) Ht = Cmn Ymn. kZ z X a mn + k. mn Ymn Z Z C- X A- t'mn (105c) (105d) where amn x) sin(n; y) - Y(r:n) sin(r: x) cos ( n; y) ] e-jy",,,z = [x(n;) cos(r:n n Pmn = (-Ykn)[ x + Y( n;) (106a) (m;) cos(r:n x) sin(n; y) sin(r:n n; x) cos( y) ] e-jy",,,z (l06b) In particular, the nonzero field components of the dominant TEJO mode are (107a) (107b) H z :Jl) e-m,,z .

5 t 1 4 3 I l TEso IT~ I 2 ™so TM43 ™os TM34 ~ TE42 1 TE32 TE23 TM32 TM 23 I TE22 TM22 -. TM42 TM24 TEll TMl1 o o 6 7 b Fig. 20. Normalized modal cutoff frequencies. (a) For a 2:1 rectangular waveguide. (b) For a square waveguide. (After C. S. Lee, S. W. Lee, and S. L. ---T-- --, TEll TMll 1 1 -- -,- 1 ~--, l_ TE30 2 ~- l TEOI TE20 1 lr---- TElO o 0/2 ~ III c: (1) ~:::r = EJ· ~ a 3 (1) I» = Q. : a:::r ill iiii Q. I» = t .... 0 1 TMll \1\1\ \ '" l\ ~ \. ~ I", "- r-..... --:::': TEIO I z ~ I\. 008 o ""- / .........

Scattering by an Obstacle 2-22 Bistatic Cross Section Radar Cross Section 2-23 Reciprocity 2-24 Scattering Cross Section 2-24 Physical Optics Approximation for Scattering by a Conductor Two Other Versions of the Physical Optics Approximation 9. The Antenna as a One-Port Device 10. Three Ideal Sources for Transmitting Antennas 11. Three Ideal Meters for Receiving Antennas 2-5 2-6 2-11 2-13 2-16 2-18 2-19 2-21 2-25 2-26 2-27 2-29 2-30 2-1 Shung-Wu Lee was born in Kiangsi, China. He received his BS degree in electrical engineering from Cheng Kung University in Tainan, Taiwan, in 1961.

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