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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 493, 2020, pp. 288–300.
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Popov, A.V., Baskakov, V.A. & Prokopovich, D.V. Parametric Resonance and Theory of Bragg Waveguides. J Math Sci 277, 666–673 (2023). https://doi.org/10.1007/s10958-023-06896-y
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DOI: https://doi.org/10.1007/s10958-023-06896-y