A waveguide is constructed so that the cross section of the guide forms a right triangle with

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A waveguide is constructed so that the cross section of the guide forms a right triangle with sides of length a, a, ?2a, as shown. The medium inside has ?? = ?r = 1.

(a) Assuming infinite conductivity for the walls, determine the possible modes of propagation and their cutoff frequencies.

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(b) For the lowest modes of each type calculate the attenuation constant, assuming that the walls have large, but finite, conductivity. Compare the result with that for a square guide of side a made from the samematerial.

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