O.N. Smolnikova – Ph. D. (Eng.), Associate Professor, Moscow Aviation Institute (National Research University), Head of Department, PJSC «Radiofizika». E-mail: email@example.com
N.A. Fedotova – Student, Moscow Institute of Physics and Technology (State University). E-mail: firstname.lastname@example.org
S.P. Skobelev – Dr. Sc. (Phys.-Math.), Leading Research Scientist, PJSC «Radiofizika», Associate Professor, Moscow Institute of Physics and Technology (State University). E-mail: email@example.com
This paper is a continuation of the first part of the work published in the Journal «Radiotekhnika», 2015, №4, pp. 84 − 90 where a general algorithm has been developed for analysis of electromagnetic wave scattering at a uniaxial junction of two circular waveguides one of which contains an axially symmetrical longitudinally non-uniform two-layer dielectric transition of finite length. In a special case of axially symmetric excitation, the general algebraic system obtained in the first part breaks down into two independent subsystems. One of them corresponds to excitation of the transition in the ТЕ0n modes and contains one set of unknown expansion coefficients for azimuthal electric field component Eφ(ρ). The second subsystem corresponding to excitation of the transition by the ТМ0n modes contains two sets of unknown expansion coefficients for azimuthal magnetic field component Hφ(ρ) and radial electric field component Eρ(ρ).
In this second part of the work, there has been developed an algorithm corresponding to excitation of the transition in the axially symmetrical TM modes which reduces the problem to determination of only one set of unknown expansion coefficients for magnetic field component Hφ(ρ) and therefore is more efficient in comparison with the general algorithm. In the work there presented numerical results demonstrating convergence of the solution both over the number of piece-wise linear functions used for expansion of the field over the longitudinal coordinate and over the number of the transverse functions corresponding to the eigenmodes of circular waveguide. Similar numerical studies has been carried out also for the case of excitation of the transition in the axially symmetrical TE modes with using the system of equations resulted from the general algorithm developed in the first part.