A problem of electromagnetic-wave scattering from multiple grooves in the i
nner conductor of a coaxial line is theoretically solved. Simultaneous equa
tions for the discrete modal coefficients are formulated by utilizing the F
ourier transform. The reflection and transmission coefficients are obtained
in numerically efficient fast-convergent series. Numerical computations ar
e performed to show the frequency characteristics of the reflection and tra
nsmission coefficients in terms of the groove geometry.