Webb, K.E., Erkintalo, M., Broderick, N.G.R., Dudley, J.M., Broderick, N.G.R., et al. (2014) Nonlinear Optics of Event Horizons. Nature Communications, 5, Article Number: 4969.
has been cited by the following article:
TITLE: Impulse Spatial-Temporal Domains in Semiconductor Laser with Feedback
AUTHORS: Igor B. Krasnyuk
KEYWORDS: Initial Boundary Value Problem, Semiconductor Laser, Solutions of Relaxation Type, A Set of Attractive Fixed Points, A Set of Attractive Fixed Points, Asymptotic Periodic Distributions
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.9, September 27, 2016
ABSTRACT: An initial value boundary problem for system of diffusion equations with delay arguments and dynamic nonlinear boundary conditions is considered. The problem describes evolution of the carrier density and the radiation density in the semiconductor laser or laser diodes with “memory” and with feedback. It is shown that the boundary problem can be reduced to a system of difference equations with continuous time. For large times, solutions of these equations tend to piecewise constant asymptotic periodic wave functions which represent chain of shock waves with finite or infinite points of discontinuities on a period. Applications to the optical systems with linear media and nonlinear surface optical properties with feedback have been done. The results are compared with the experiment.