Abrupt Discontinuities: The Reflection Operator is a Contraction

Petrusenko, I.V.; Sirenko, Yu.K.

dc.contributor.author	Petrusenko, I.V.
dc.contributor.author	Sirenko, Yu.K.
dc.date.accessioned	2017-05-24T12:05:06Z
dc.date.available	2017-05-24T12:05:06Z
dc.date.issued	2017-05-23
dc.identifier.citation	1. Shestopalov, V.P., Kirilenko, A.A., Masalov, S.A., and Sirenko, Yu.K., (1986), Resonance scattering of waves, Vol. 1: Diffraction gratings, Naukova Dumka, Kiev: 232 p. (in Russian). Shestopalov, V.P., Kirilenko, A.A., and Rud’, L.A., (1986), Resonance scattering of waves, Vol. 2: Waveguide discontinuities, Naukova Dumka, Kiev: 215 p. (in Russian). 3. Litvinenko, L.N. and Prosvirnin, S.L., (1984), Spectral operators of scattering in the problems of diffraction by planar screens, Naukova Dumka, Kiev: 239 p. (in Russian). 4. Shestopalov, V.P., Kirilenko, A.A., and Masalov, S.A., (1984), Convolution-type matrix equations in the theory of diffraction, Naukova Dumka, Kiev: 293 p. (in Russian). 5. Mittra, R. and Lee, S.W., (1971), Analytical techniques in the theory of guided waves, New York, The Macmillan Company, 327 p. 6. Petrusenko, I.V., (2004), Analytic – numerical analysis of waveguide bends, Electromagnetics, 24:237-254. 7. Gohberg, I.C., and Krein, M.G., (1969), Introduction to the theory of linear nonselfadjoint operators, New York, Amer. Math. Soc., 448 p. (translated from the Russian). 8. Petrusenko, I.V., (2004), Matrix operator technique for analysis of wave transformers, Proc. 10th – Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET’04), Dnipropetrovs’k, pp.118-120. 9. Brodskii, M.S., (1971), Triangular and Jordan representations of linear operators, New York, Amer. Math. Soc., 286 p. (translated from the Russian). 10. Brodskii, M.S., and Lifshits, M.S., (1960), Spectral analysis of nonselfadjoint operators and intermediate systems, Transl. Amer. Math. Soc., 13(2):265-346. 11. Miklavčič, M., (1998), Applied functional analysis and partial differential equations, Singapore, Word Scientific, 294 p.	uk_UA
dc.identifier.issn	0040-2508
dc.identifier.uri	http://hdl.handle.net/123456789/2405
dc.description.abstract	New basic properties of the reflection operator are analyzed for the problem of wave diffraction by abrupt discontinuities. A generalized (operator) form of the power conservation statement has been used to evaluate the norm of this operator and investigate the localization and the structure of its spectrum. The results obtained are useful for justifying matrix models of the considered class of diffraction problems, as well as for developing new methods of electrodynamic analysis of waveguiding and periodic structures.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Begell House	uk_UA
dc.relation.ispartofseries	Telecommunications and Radio Engineering Международный научный журнал по проблемам телекоммуникационной техники и электроники;2008 / 67(19)
dc.title	Abrupt Discontinuities: The Reflection Operator is a Contraction	uk_UA
dc.type	Article	uk_UA