Abstract

Characteristics of backward, stimulated light pulses are analyzed in the limit where rate equation approximation breaks down, and fluctuation dynamics (oscillator displacements for Raman and phonon amplitudes for Brillouin) must beconsidered. In this limit, the scattered photon flux N_s is N_s = a(dN_l/dt), (d/dt + γ_f)A_f = bN_l/Af,(d/dt + γ_l) = dN_l/Af, where f,/referto fluctuations and pump, respectively; A_f the fluctuation intensity, and constants a, b, and d depend on the medium characteristics. An analytical solution to this set of equations has been given by Maier et al.¹ in the limit γ_f→0 and γ_l = 0. With these restrictions removed, analytical solution is difficult. Here, we are considering an analytical solution by reducing the set of equations to that of the cubic Schrodinger equation with real amplitude and by using Backlund transform. Preliminary calculations show that the solitary wave solutions are possible (a purely soliton solution is not admissible² in the form of hyperbolic secant square).

© 1986 Optical Society of America