Two rectangular waveguides are joined end-to-end. The guides have identical dimensions, where a = 2b. One guide

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Two rectangular waveguides are joined end-to-end. The guides have identical dimensions, where a = 2b. One guide is air-filled; the other is filled with a lossless dielectric characterized by ∈'r.

(a) Determine the maximum allowable value of r such that single-mode operation can be simultaneously assured in both guides at some frequency.

(b) Write an expression for the frequency range over which single-mode operation will occur in both guides; your answer should be in terms of ∈'r, guide dimensions as needed, and other known constants.

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Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

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