Scattering from multiple grooves in the inner conductor of a coaxial line

A problem of electromagnetic-wave scattering from multiple grooves in the inner conductor of a coaxial line is theoretically solved. Simultaneous equations for the discrete modal coefficients are formulated by utilizing the Fourier transform. The reflection and transmission coefficients are obtained in numerically efficient fast-convergent series. Numerical computations are performed to show the frequency characteristics of the reflection and transmission coefficients in terms of the groove geometry.