Analytical results, based on the virial theorem and the Furutsu–Novikov theorem, of the spatiotemporal evolution of a pulse in a nonlinear waveguide with a randomly fluctuating refractive index are presented. For initial conditions in which total collapse occurs in a homogeneous waveguide, random fluctuations postpone the collapse. Sufficiently large-amplitude and short-wavelength fluctuations can cause an initially localized pulse to spread instead of contracting. We show that the disorder can be applied to induce a high degree of controllability of the spatiotemporal extent of the pulses in the nonlinear waveguide.
© 1998 Optical Society of America
Yu. B. Gaididei and *P. L. Christiansen, "Spatiotemporal collapse in a nonlinear waveguide with a randomly fluctuating refractive index," Opt. Lett. 23, 1090-1092 (1998)