Self-consistent multimode lasing theory for complex or random lasing media (17 pages)
By H. Türeci, A. Douglas Stone, B. Collier. 2006
168 citations recorded by the source corpus.
A semiclassical theory of single and multimode lasing is derived for open complex or random media using a self-consistent linear response formulation. Unlike standard approaches which use closed cavity solutions to describe the lasing modes, we introduce an appropriate discrete basis of functions which describe also the intensity and angular emission pattern outside the cavity. This constant flux CF basis is dictated by the Green function which arises when formulating the steady state Maxwell-Bloch equations as a self-consistent linear response problem. This basis is similar to the quasibound state basis which is familiar in resonator theory and it obeys biorthogonality relations with a set of dual functions. Within a single-pole approximation for the Green function the lasing modes are proportional to these CF states and their intensities and lasing frequencies are determined by a set of nonlinear equations. When a near threshold approximation is made to these equations a generalized version of the Haken-Sauermann equations for multimode lasing is obtained, appropriate for open cavities. Illustrative results from these equations are given for single and few mode lasing states, for the case of dielectric cavity lasers. The standard near threshold approximation is found to be unreliable. Applications to wave-chaotic cavities and random lasers are discussed.
Subfields: Acoustics and Ultrasonics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/cdd0118a5f2b72e6afa46fb2d1d7239a5a291566
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In Acoustics and Ultrasonics
In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Modes of random lasers (2010, methodology): “ and partially analytic, providing both ease of computation and greater physical insight. The approach, due to Tu¨reci-Stone-Ge, is known as Ab Initio Self-consistent Laser Theory (AISC laser theory) [30,33,34]. It finds the stationary solutions of the MB semiclassical lasing equations in the multimo”
- Light fields in complex media: Mesoscopic scattering meets wave control (2017, background): “This boundary condition is known under the name of Kapur-Peierls or constant-flux boundary condition (Kapur and Peierls, 1938; Türeci et al., 2006) with the latter terminology being motivated by the fact that the outgoing flux in 𝒫 is conserved (corresponding to a real value of 𝜔).”