Classical Electrodynamics · Problem 9.19

Radiating Systems, Multipole Fields and Radiation — John David Jackson

Physics — E&M · waveguide-excitation-multipole-moments

Problem

Consider the excitation of a waveguide in Problem 8.19 from the point of view of multipole moments of the source. (a) For the linear probe antenna calculate the multipole moment components of p\mathbf{p}, m\mathbf{m}, QαβQ_{\alpha\beta}, QαβMQ^M_{\alpha\beta} that enter (9.69). (b) Calculate the amplitudes for excitation of the TE1,0\text{TE}_{1,0} mode and evaluate the power flow. Compare the multipole expansion result with the answer given in Problem 8.19b. Discuss the reasons for agreement or disagreement. What about the comparison for excitation of other modes?

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