Diagrammatic semiclassical laser theory

Details Diagrammatic semiclassical laser theory Diagrammatic semiclassical laser theory

2010-01-27

arxiv.org/abs/1001.4952v1

Phys. Rev. A 81, 023822 (2010)

Physics

Optics

11 pages

Scientific paper

10.1103/PhysRevA.81.023822

We derive semiclassical laser equations valid in all orders of nonlinearity. With the help of a diagrammatic representation, the perturbation series in powers of electric field can be resummed in terms of a certain class of diagrams. The resummation makes it possible to take into account a weak effect of population pulsations in a controlled way, while treating the nonlinearity exactly. The proposed laser theory reproduces the all-order nonlinear equations in the approximation of constant population inversion and the third-order equations with population-pulsation terms, as special cases. The theory can be applied to arbitrarily open and irregular lasers, such as random lasers.

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