On the Dispersion Curves of Anisotropic Waveguides

Affiliation:
Institute for Information Transmission Problems, Russian Academy of Sciences
Main Scientific Research Test Center of Robotics, Ministry of Defense of the Russian Federation

Journal name

Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki

Edition

Volume 58 Issue 7

Pages

1189-1196

Abstract

Behavior of the dispersion curves of waveguides with anisotropic filling is considered. The existence of backward and complex waves at certain values of the anisotropy coefficients is established. The region of localization of the singular points of the dispersion curves in which the generation of backward waves takes place is found.

Keywords

backward waves, dispersion curves, singular points

Received

11.10.2018

Publication date

11.10.2018

Number of characters

315

Cite Download pdf To download PDF you should sign in

GOST	Delitsyn A. On the Dispersion Curves of Anisotropic Waveguides // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki – 2018. – V. 58. – Issue 7 C. 1189-1196 [Electronic resource]. URL: http://ras.jes.su/zvmmf/s207987840000705-4-1-en (circulation date: 20.04.2024). DOI: 10.31857/S004446690001463-0
MLA	Delitsyn, A. "On the Dispersion Curves of Anisotropic Waveguides." Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki 58.7 (2018):1189-1196. DOI: 10.31857/S004446690001463-0
APA	Delitsyn A. (2018). On the Dispersion Curves of Anisotropic Waveguides. Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki 58(7), pp.1189-1196 DOI: 10.31857/S004446690001463-0

Размещенный ниже текст является ознакомительной версией и может не соответствовать печатной

Readers community rating: votes 0

1. Lamb H. On group velocity // Proc. Lond. Math. Soc. Ser. 2. 1904. V. 1. № 849. P. 473–479.

2. Tolstoy I, Usdin E. Wave propagation in elastic plates: low and high mode dispersion // J. Acoust. Soc. Amer. 1957. V. 29. № 1. P. 37–42.

3. Grinchenko V.T., Meleshko V.V. Garmonicheskie kolebaniya i volny v uprugikh telakh. Naukova Dumka. 1981.

4. Veselov G.I., Krasnushkin P.E. O dispersionnykh svojstvakh dvukhslojnogo ehkranirovannogo kruglogo volnovoda i kompleksnykh volnakh v nem // Dokl. AN SSSR. 1981. T. 260. № 3. S. 576.

5. Veselov G.I., Raevskij S.B. Sloistye metallo-diehlektricheskie volnovody. Radio i Svyaz'. 1988.

6. Bogolyubov A.N., Delitsyn A.L., ASveshnikov.G. O zadache vozbuzhdeniya volnovoda s neodnorodnym zapolneniem // Zh. vychisl. matem. i matem. fiz. 1999. T. 39. № 11. S. 1869–1888.

7. Delitsyn A.L. O kharaktere rosta polya pri rezonansnom vozbuzhdenii volnovoda // Zh. vychisl. matem. i matem. fiz. 2016. T. 56. № 12. S. 2086–2091.

8. Zil'berglejt A.S., Kopilevich Yu.I. Spektral'naya teoriya regulyarnykh volnovodov. L.: Fiztekh AN SSSR, 1983.

9. Gokhberg I.Ts., Krejn M.G. Vvedenie v teoriyu linejnykh nesamosopryazhennykh operatorov v gil'bertovom prostranstve. M.: Nauka, 1965.

10. Ramm A., Werner P. On the limit amplitude principle for a layer // J. Reine angew. Math. 1985. V. 360. P. 19–46.