@article{ZNSL_2020_493_a18,
author = {A. V. Popov and V. A. Baskakov and D. V. Prokopovich},
title = {Parametric resonance and theory of {Bragg} waveguides},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {288--300},
year = {2020},
volume = {493},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a18/}
}
A. V. Popov; V. A. Baskakov; D. V. Prokopovich. Parametric resonance and theory of Bragg waveguides. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 50, Tome 493 (2020), pp. 288-300. http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a18/
[1] A. Yariv, P. Yeh, Optical Waves in Crystals, 2002
[2] E. M. Dianov, M. E. Likhachev, S. Février, “Solid-core photonic bandgap fibers for high-power fiber lasers”, IEEE J. Selected Topics in Quantum Electronics, 15:1 (2009), 20–29 | DOI
[3] P. Yeh, A. Yariv, E. Marom, “Theory of Bragg fiber”, J. Opt. Soc. Amer., 68:9 (1978), 1196–1201 | DOI
[4] S. Février, P. Viale, F. Gerome, P. Leproux, P. Roy, J.-M. Blondy, B. Dussardier, G. Monnom, “Very large effective area singlemode photonic bandgap fiber”, Electronics Letters, 39:17 (2003), 1240–1242 | DOI
[5] S. Février, R. Jamier, J.-M. Blondy, S. L. Semjonov, M. E. Likhachev, M. M. Bubnov, E. M. Dianov, V. F. Khopin, M. I. Salganskii, A. N. Gurianov, “Low-loss singlemode large mode area all-silica photonic bandgap fiber”, Opt. Express, 14 (2006), 562–569 | DOI
[6] M. Likhachev, S. Semjonov, A. Popov, A. Vinogradov, E. M. Dianov, “Depressed core Bragg waveguides: experiment and simulation”, Proceedings of 6th International Conference on Transparent Optical Networks, ICTON 2004 (Wroclaw, Poland, 2004), v. 2, 117–120
[7] L. D. Landau, E. M. Lifszitz, Mechanics, Elsevier, 1982, 224 pp. | MR
[8] A. V. Vinogradov, A. V. Popov, D. V. Prokopovich, “On the explicit parametric description of waves in periodic media”, Comput. Math. Math. Phys., 49:6 (2009), 1069–1079 | DOI | MR | Zbl
[9] A. Popov, “Parametric resonance and waves in periodic media”, Proc. 11th Internat. Conf. on Transparent Optical Networks (Ponta Delgada, Portugal, 2009), Th.A4.4, 4 pp.
[10] A. Popov, M. Popova, “Parametric representation of traveling waves in periodic media”, Proc. Internat. Conf. on Transparent Optical Networks (Stockholm, 2011), We.A2.2, 4 pp.
[11] A. V. Popov, V. Kovalchuk, Parametric representation of wave propagation in non-uniform media (both in transmission and stop bands), Mathematical Methods in the Applied Sciences, Wiley, 2012 | DOI | MR
[12] A. D. Dolgov, A. V. Popov, A. S. Rudenko, “Shape of the inflaton potential and the efficiency of the universe heating”, Eur. Phys. J. C, 437:75 (2015) | DOI