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Abstract: We review our recent work leading to steady-state solutions of thesemiclassical Maxwell-Bloch equations of a laser. These are couplednon-linear partial differential equations in space and time which havepreviously been solved either by fully time-dependent numerical simulations orby using major approximations which neglect non-linear modal interactionsand-or the openness of the laser system. We have found a time-independenttechnique for determining these stationary solutions which can treat lasers ofarbitrary complexity and degree of openness. Our method has been shown to agreewith time-dependent numerical solutions to high accuracy and has been appliedto find the electric field patterns lasing modes of random lasers, which lacka laser cavity and are so strongly damped that the linear system has nodetectable resonances. Our work provides a link between an important non-linearwave system and the field of quantum-wave chaos in linear systems.

Autor: Hakan E. Türeci, A. Douglas Stone, Li Ge, Stefan Rotter, Robert J. Tandy

Fuente: https://arxiv.org/

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