Two-dimensionally periodic gratings. Part 3: Elements of the spectral theory

被引：0

作者：

Velychko, L.G. ^{[1
]}

Kryvchikova, A.A. ^{[1
]}

Sirenko, Yu.K. ^{[1
]}

机构：

[1] A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, Kharkiv 61085, 12, Academician Proskura St.

来源：

Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika) | 2013年 / 72卷 / 05期

关键词：

Point spectrum; The canonical Green function; Three-dimensionally periodic grating; Uniqueness theorem;

D O I：

10.1615/TelecomRadEng.v72.i5.20

中图分类号：

学科分类号：

摘要：

The results are presented which are necessary for development of a spectral theory of 3D periodic structures. An analytical representation has been obtained for the canonical Green function and natural variation range for the spectral parameter (complex-valued frequency) has been determined in the form of an infinite-sheeted Riemann surface. Some statements have been formulated which allow estimating the range of localization of the spectral set elements. © 2013 by Begell House, Inc.

引用

页码：385 / 392

页数：7

共 11 条

[1]

Velychko L.G., Kryvchikova A.A., Sirenko Yu.K., Two-dimensionally periodic gratings. Part 1: Initial boundary-value problems and exact absorbing conditions for the rectangular floquet channel, Telecommunications and Radio Engineering, 71, 19, pp. 1719-1731, (2012)

[2]

Velychko L.G., Kryvchikova A.A., Two-dimensionally periodic gratings. Part 2: Some regularities in the behavior of nonstationary and steady-state fields in the rectangular floquet channel, Telecommunications and Radio Engineering, 71, 20, pp. 1815-1831, (2012)

[3]

Sirenko Y.K., Strom S., Yashina N.P., Modeling and analysis of transient processes in open resonant structures, New Methods and Techniques, (2007)

[4]

Shestopalov V.P., Sirenko Y.K., Dynamic Theory of Gratings, (1989)

[5]

Sirenko Y.K., Strom S., Modern theory of gratings, Resonant Scattering: Analysis Techniques and Phenomena, (2010)

[6]

Titchmarsh E.C., Introduction to the Theory of Fourier Integrals, (2007)

[7]

Gradshteyn I.S., Ryzhik I.M., Tables of Integrals, Series, and Products, (1980)

[8]

Hurwitz A., Courant R., The Theory of Functions, (1968)

[9]

Sirenko Y.K., Velychko L.G., Erden F., Time-domain and frequency-domain methods combined in the study of open resonance structures of complex geometry, Progress in Electromagnetic Research, 44, pp. 57-79, (2004)

[10]

Velychko L.G., Sirenko Y.K., Shafalyuk O.S., Time-domain analysis of open resonators. Analytical grounds, Progress in Electromagnetic Research, 61, pp. 1-26, (2006)

← 1 2 →