For a straight waveguide with a semicircular cross section shown in Figure,a) write the ap...

For a straight waveguide with a semicircular cross section shown in Figure,

a) write the appropriate expression of  for TM modes,

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b) write the appropriate expression of  for TE modes.

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c) Explain how the eigenvalues of the respective modes can be determined.

Figure: Cross section of a semicircular waveguide