Автореферат (1150565), страница 4
Текст из файла (страница 4)
V., Sidorenko M. S., Gorodnitsky E. A. Multiscale Investigation of Solutions of the WaveEquation. // Integral Methods in Science and Engineering. Vol. 2: Compu- tational Methods. Ed.C. Constanda, M. E. Perez. 2010. Birkhauser. P. 291–300A8 Perel M. V., Sidorenko M. S. Effects associated with a saddle point of the dispersion surface of aphotonic crystal // Proc.
of the Int. Conf.DAYS on DIFFRACTION 2011. Ed. I. V. Andronov.2011. SPbU. P. 145–148A9 Perel M. V., Sidorenko M. S. Two-Scale Approach to an Asymptotic Solution of Maxwell Equationsin Layered Periodic Medium. Preprint arXiv:1511.00115 [math-ph]. 201515Список литературы[1] Hernandez-Figueroa H.
E., Zamboni-Rached M., Recami E. (eds.) Non-diffracting Waves. Wiley,2013[2] Бабич В. М., Панкратова Т. Ф. О разрывах функции Грина смешанной задачи для волновогоуравнения с переменным коэффициентом // Проблемы математической физики. Вып. 6. Л.:Изд-во ЛГУ. 1973. С. 9-27[3] Popov М. М. A new method of computation of wave fields using Gaussian beams // Wave Motion.Vol. 4. 1982. P. 85–97[4] Бабич В.
М., Попов М. М. Метод суммирования гауссовых пучков (обзор) // Известия высшихучебных заведений, сер. Радиофизика. 1989. Т. 32. № 12. С. 1447–1446[5] Heyman E., Felsen L. B. Gaussian beam and pulsed-beam dynamics: complex-source andcomplex-spectrum formulations within and beyond paraxial asymptotics // Journal of the OpticalSociety of America A.
2001. Vol. 18, iss. 7. P. 1588–1611[6] Kaiser G. A Friendly Guide to Wavelets. Boston: Birkhäuser. 1994[7] Joannopoulos J. D., Johnson S. G., Winn J. N., Meade R. D. Photonic Crystals. Molding the Flowof Light. Princeton: Princeton University Press. 2008[8] Longhi S. Localized and nonspreading spatiotemporal Wannier wave packets in photonic crystals// Physics Review E. 2005. Vol. 71. P. 016603[9] Antoine J.-P., Murenzi R., Vandergheynst P., Ali S. T. Two-dimensional wavelets and theirrelatives.
Cambridge: Cambridge University Press. 2004[10] Mallat S. G. A Wavelet Tour of Signal Processing. 2nd edn. San Diego: Academic Press. 1999[11] Kiselev A. P., Perel M. V. Highly localised solutions of the wave equation // Journal ofMathematical Physics. 2000. Vol. 42, iss. 4. P.
1934–1955[12] Besieris I. M., Shaarawi A. M., Ziolkowski R. W. A bidirectional traveling plane waverepresentation of exact solutions of the scalar wave equation // Journal of Mathematical Physics.1989. Vol. 30. P. 1254–126916.