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The dimensional Helmholtz equation for the scalar potential V inside the coaxial waveguide shown at right is given by
where k is a constant related to the wave number of the air inside the waveguide Assume the potential is zero on the outer surface of the inner conductor of radius a and on the inner surface of the outer conductor of radius Find the eigenvalues and the eigenfunctions of V For the eigenvalues find an equation that its solutions are the eigenvalues
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