TELECOMMUNICATIONS AND RADIO ENGINEERING - 2011 Vol. 70,
No 9 		 

 

 

 

FRESNEL FORMULAE FOR SCATTERING OPERATORS



I.V. Petrusenko & Yu.K. Sirenko
A. Usikov Institute of Radio Physics and Electronics,
National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine
Address all correspondence to Yu.K. Sirenko E-mail: yks@ire.kharkov.ua

Abstract
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.
KEY WORDS: mode-matching technique, mode diffraction, Cayley transform

References

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pages 749-758

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