Use the results of Prob. 7-18 and let the unperturbed guide be loss-free, so that In the perturbed guide, let And show that If Z = the intrinsic impedance of metal walls, the above formula for a is the approximation that we have been using to calculate attenuation in metal waveguides. Prob. 7-18 Consider the perturbation of the walls of a waveguide from a perfect conductor to an impedance sheet Z such that Represent the unperturbed and perturbed fields as in Prob. 7-15, and show that Prob. 7-15 Suppose that a waveguide is filled with lossy material, and consider a perturbation of its perfectly conducting walls. Represent the unperturbed fields (subscript 0) and the perturbed fields (no subscript) by Note the opposite directions of propagation. Show that the formula corresponding to Eq. (7-29) is Show that this reduces to Eq. (7-29) in the loss-free case.

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Asked Mar 10, 2020
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Use the results of Prob. 7-18 and let the unperturbed guide be loss-free, so that In the perturbed guide, let

And show that

If Z = the intrinsic impedance of metal walls, the above formula for a is the approximation that we have been using to calculate attenuation in metal waveguides.

Prob. 7-18

Consider the perturbation of the walls of a waveguide from a perfect conductor to an impedance sheet Z such that

Represent the unperturbed and perturbed fields as in Prob. 7-15, and show that

Prob. 7-15

Suppose that a waveguide is filled with lossy material, and consider a perturbation of its perfectly conducting walls. Represent the unperturbed fields (subscript 0) and the perturbed fields (no subscript) by

Note the opposite directions of propagation. Show that the formula corresponding to Eq. (7-29) is

Show that this reduces to Eq. (7-29) in the loss-free case.

 

 

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