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ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009
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FRESNEL FORMULAE FOR SCATTERING OPERATORS
ABSTRAKT
For the scalar problem of mode diffraction on the abrupt waveguide discontinuity the Fresnel formulae for the reflection and transmission matrix operators are derived using the mode-marching technique. This generalized form of the matrix model is an immediate corollary of the proposed new statement of the problem. Making use of the energy conservation law in operator form, the correctness of the obtained Fresnel formulae for the scattering operators is proved analytically. Thus, the developed approach makes it possible to substantiate completely the widely used mode-matching technique for the class of diffraction problems under consideration.
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Petrusenko I., Sirenko Yu., Generalization of the mode-matching technique or a new theory of this commonly used method, 2012 International Conference on Mathematical Methods in Electromagnetic Theory, 2012. Crossref