Radiation Characteristics of Two Semi-Infinite Overlapped Cylindrical Waveguides with Impedance Loading

Abstract

The radiation of plane waves by two coaxial overlapping pipes is investigated in the case where the walls of the pipes lying in the overlap region are impedance boundaries. By using the eigenfunction expansion in the overlap region and using the Fourier transform technique elsewhere we obtain directly two uncoupled modified Wiener-Hopf equations of the second kind whose solutions involve two set of infinitely many unknown expansion coefficients satisfying two systems of linear algebraic equations. Numerical solution of these systems are obtained for various values of the parameters of the problem whereby are studied the effects of these parameters on the radiation phenomenon.