Multimode laser model with coupled cavities and quantum noise

Abstract

A stochastic, semiclassical model is developed for a multimode, homogeneously broadened laser with rapid dipole dephasing, appropriate for semiconductor, Ti:sapphire, or dye lasers. The theory self-consistently incorporates population dynamics including temporal beating effects and relaxation oscillations, spatial hole burning, coherent-wave mixing, and quantum noise. The model is valid for single-and compound-cavity lasers in which the mode frequencies are well defined. We pay particular attention to finding a useful mode basis in the case that the gain medium does not completely fill the cavity. This situation can lead to coupled-cavity effects. For typical systems the model is valid for pump rates up to several times threshold and is tractable for numerical simulations. The theoretical development described in this paper is applied to an experimental system in a companion paper (J. Opt. Soc. Am. B 14, 180 (1997)].

Switchable Lasing in Multimode Microcavities

“…[7] to study the dynamics of individual modes in a two-mode laser, where an external field is present in the cavity due to the injection seeding. Semiclassical theories of optical amplifiers [5] have been successfully employed to study the mode dynamics in multimode lasers [7,8], especially in the context of laser instabilities [9]. An example of a two-mode microcavity, which we have chosen to study numerically, is depicted in Fig.…”

“…1 t E 2 tu 2 re ÿi! 2 t , etc., and the atomic polarization can be eliminated adiabatically [7,8]. For class-A lasers, where the radiative decay rate ?…”

“…a =2, the nonradiative decay rate k , and the cavity mode decay rates j are related as ? k j , the following system of equations for the slowly varying envelopes E j t is obtained [7] …”

Coupled nanopillar waveguides optical properties and applications

“…Here all the spatial dependencies of the electric field and atomic polarization were represented in the basis of the two cavity modes, such that E(r, t) = E 1 (t)u 1 (r)e −iω1t + E 2 (t)u 2 (r)e −iω2t , etc., and the atomic polarization was eliminated adiabatically [36,37]. E j (t) are slowly varying envelopes of two modes j = 1, 2.…”

“…The inhomogeneous terms F j (t) originate from the external injection seeding field and from a noise field accounting for spontaneous emission [36]. For vanishing functions F j , Eqs.…”