Geodesic
Hybrid methods for modeling waveguides containing local inhomogeneous insets of multilayer structure
Numerical methods and programming, Tome 17 (2016) no. 3, pp. 268-279.

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A mathematical model of wave diffraction on a local inhomogeneous multilayer inset placed inside a rectangular waveguide is considered. An algorithm for the numerical solution of the corresponding diffraction problem based on the application of hybrid numerical and numerical-analytical methods is described. In particular, the hybrid methods based on the joint application of the incomplete Galerkin's method together with the finite difference method and the transfer matrix method are discussed. A comparative analysis of the described methods is given, including an efficiency analysis of these methods in application to modeling the wave diffraction on a multilayer inhomogeneous inset in a waveguide.
Keywords: nonregular waveguide, multilayer inset, hybrid numerical methods, incomplete Galerkin's method, finite difference method, transfer matrix method. 
@article{VMP_2016_17_3_a7,
     author = {A. A. Petukhov and A. N. Bogolyubov and M. K. Trubetskov},
     title = {Hybrid methods for modeling waveguides containing local inhomogeneous insets of multilayer structure},
     journal = {Numerical methods and programming},
     pages = {268--279},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a7/}
}
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A. A. Petukhov; A. N. Bogolyubov; M. K. Trubetskov. Hybrid methods for modeling waveguides containing local inhomogeneous insets of multilayer structure. Numerical methods and programming, Tome 17 (2016) no. 3, pp. 268-279. http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a7/