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Quarter Wave Coupled Wave‐Guide Filters

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This paper considers the theory of band-pass wave-guide filters formed by cascading rectangular cavities separated by quarter guide wave-lengths. Formulas for resonant frequency, loaded Q, and insertion loss in the pass band are derived for a single stage using matrix theory and are in a form suitable for design purposes. The general theory of ``n'' stages is worked out using matrix algebra, and it is shown that the insertion loss and phase shift of ``n'' stages are given by: Ln=1+x2Un2(x)    φ=tan-1[Tn(x)/Un(x)], where Tn(x) and Un(x) are the first and rationalized second kind Tschebyscheff polynomials. The specific design procedure is outlined including the design of a finite thickness inductive aperture.

Published in:

Journal of Applied Physics  (Volume:18 ,  Issue: 10 )

Date of Publication:

Oct 1947

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