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By P.J.B. Clarricoats

Corrugated horns are prevalent and hugely effective, specially of their use as feeds for microwave reflector antennas. This publication is dedicated to the idea and layout of corrugated horns and scalar feeds and explains why hybrid mode feeds are excellent feeds for reflectors

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The mode continues with A = — °° and as we approach the fast-wave to slowwave transition, point /3 = 1, we have now A = — 1. Finally, as frequency increases further the mode terminates at high-frequency cut-off with j3 = °° and the corrugation depth is 3A/4, then A = — \\krx which tends to zero as krx tends to infinity. We see that as 0 progresses from 0 to °°, A progresses from 0 to + «> and from — °° back to near zero again. For EH l m modes, we begin at |3 = 0 with A = — °° and pure TE conditions.

B Peak crosspolar power as a function of frequency for waveguide of Fig. 19 (a) K = L = 1 K = L=0 HE12 mode crosspolarisation. Vertical bars indicate measured values Cylindrical corrugated waveguides 49 n assuming that Xi = 2-405, Fig. 85) In both cases the results are compared with predictions based on FT theory applied to the aperture fields including N=±\ space harmonics in addition to the fundamental. The agreement is excellent for the coplar pattern and satisfactory for the cross-polar pattern.

84 exact solution using space harmonics c Crosspolar radiation patterns corresponding to Fig. 18 (b) eqn. 85, exact solution using space harmonics 46 Cylindrical corrugated waveguides where A = JL *COS# -30 -50 d Peak crosspolar power as a function of frequency corresponding to Fig. 18 (c) (ridge width /slot width = 0"2 for space harmonic model) Initially we neglect the effect of space harmonics and insert £* and£ y from eqns. 60 into eqn. 81) s C is given by _sin2i+|z|l^ i . 67, then if sin2 — < 1, (3 83) - Recalling that v = krxsinS, the above expression is valid when krx is greater than about 8.

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