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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 493, Pages 288–300 (Mi znsl6974)  
Parametric resonance and theory of Bragg waveguides

A. V. Popov, V. A. Baskakov, D. V. Prokopovich

Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moskovskaya obl.
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Abstract: This review paper summarizes a new analytical approach to the theory of waves in periodic media developed in relation with the problems of fiber optics. An adequate definition of the oscillation phase, used as an independent variable, allows us to construct an infinite set of exact solutions describing excitation and damping of parametric oscillations, beyond perturbation theory.
Key words and phrases: linear oscillator, phase parameter, exact solution, parametric resonance, waves in periodic media, Bragg waveguide.
Received: 02.11.2020
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Popov, V. A. Baskakov, D. V. Prokopovich, “Parametric resonance and theory of Bragg waveguides”, Mathematical problems in the theory of wave propagation. Part 50, Zap. Nauchn. Sem. POMI, 493, POMI, St. Petersburg, 2020, 288–300
Citation in format AMSBIB
\Bibitem{PopBasPro20}
\by A.~V.~Popov, V.~A.~Baskakov, D.~V.~Prokopovich
\paper Parametric resonance and theory of Bragg waveguides
\inbook Mathematical problems in the theory of wave propagation. Part~50
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 493
\pages 288--300
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6974}
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