Steady-stateab initiolaser theory: Generalizations and analytic results
- 21 December 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 82 (6)
- https://doi.org/10.1103/physreva.82.063824
Abstract
We improve the steady-state ab initio laser theory (SALT) of Türeci et al. by expressing its fundamental self-consistent equation in a basis set of threshold constant flux states that contains the exact threshold lasing mode. For cavities with nonuniform index and/or nonuniform gain, the new basis set allows the steady-state lasing properties to be computed with much greater efficiency. This formulation of the SALT can be solved in the single-pole approximation, which gives the intensities and thresholds, including the effects of nonlinear hole-burning interactions to all orders, with negligible computational effort. The approximation yields a number of analytic predictions, including a “gain-clamping” transition at which strong modal interactions suppress all higher modes. We show that the single-pole approximation agrees well with exact SALT calculations, particularly for high- cavities. Within this range of validity, it provides an extraordinarily efficient technique for modeling realistic and complex lasers. DOI: http://dx.doi.org/10.1103/PhysRevA.82.063824 © 2010 The American Physical Society
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