TITLE:
The Manley-Rowe Relation in Nonstationary Stimulated Raman Scattering by Polaritons for Waves Propagating with Different Polarizations
AUTHORS:
Vladimir P. Feshchenko, Galina P. Feshchenko
KEYWORDS:
Nonstationary SRS, Polaritons, Phonons, Polarization, Manley-Rowe
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.10,
October
27,
2026
ABSTRACT: This paper studies electromagnetic-wave propagation in anisotropic dipole-active crystals under nonstationary stimulated Raman scattering (SRS) by polaritons when interacting waves have different polarizations. We derive a coupled system of nonlinear differential equations for the laser pump, Stokes-wave components, polariton-wave components, and dipole-active phonon vibrations. The model combines shortened Maxwell’s equations for waves of different polarizations and frequencies with a forced-oscillator equation for the dipole-active phonons. We then verify the resulting system by deriving the corresponding Manley-Rowe relation, which provides an energy-consistency criterion for the proposed nonstationary SRS model. The main contribution of this paper is the derivation of an energy-consistent nonstationary SRS model for anisotropic dipole-active crystals in which the interacting electromagnetic waves may have different polarizations. The Manley-Rowe relation is used not as an auxiliary result but as a consistency test showing that the coupled pump, Stokes, polariton, and phonon equations preserve the expected balance of energy exchange.