Geodesic
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

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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. 
@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},
     publisher = {mathdoc},
     volume = {493},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a18/}
}
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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/