%0 Journal Article %A Gnatyuk, M. A. %A Morozov, V. M. %A Sjanov, A.M. %D 2015 %I Begell House %K wave diffraction; waveguide junctions; stepwise discontinuities; Green functions; Schwarz iterative methods %N 1 %P 1-8 %R 10.1615/TelecomRadEng.v74.i1.10 %T A SCHWARZ ALGORITHM FOR THREE-DIMENSIONAL DIFFRACTION PROBLEMS %U https://www.dl.begellhouse.com/journals/0632a9d54950b268,15d117fc3df5c645,2f8cfcd07d5dd8f0.html %V 74 %X The diffraction of an electromagnetic wave by a co-axial junction of two rectangular waveguides of different cross-sections is treated within a version of the Schwarz method. An explicit formula is derived for the k-th iteration of the complex reflection coefficient of the TE01 mode. The absolute value of the reflection coefficient is calculated numerically for a variety of magnitudes of the α/λ parameter, and the algorithm convergence is analyzed. %8 2015-04-14