Ab initio multimode linewidth theory for arbitrary inhomogeneous laser cavities

作者：Pick A^*; Cerjan A; Liu D; Rodriguez A W; Stone A D; Chong Y D; Johnson S G

来源：Physical Review A, 2015, 91(6): 063806.

DOI：10.1103/PhysRevA.91.063806

We present a multimode laser-linewidth theory for arbitrary cavity structures and geometries that contains nearly all previously known effects and also finds new nonlinear and multimode corrections, e.g., a correction to the a factor due to openness of the cavity and a multimode Schawlow-Townes relation (each linewidth is proportional to a sum of inverse powers of all lasing modes). Our theory produces a quantitatively accurate formula for the linewidth, with no free parameters, including the full spatial degrees of freedom of the system. Starting with the Maxwell-Bloch equations, we handle quantum and thermal noise by introducing random currents whose correlations are given by the fluctuation-dissipation theorem. We derive coupled-mode equations for the lasing-mode amplitudes and obtain a formula for the linewidths in terms of simple integrals over the steady-state lasing modes.

• 出版日期2015-6-4
• 单位南阳理工学院; MIT