A. G. Kofman

Non‐Markovian jump processes in lasers

A new model for stochastic fluctuations in lasers is introduced where successive phase jumps are correlated to previous jumps. The model is applicable in the generalized phase diffusion limit, the generalized Kubo oscillator limit, and the generalized telegraph noise limit.

Generalized Jump Model for Phase Fluctuations in Nonlinear Optics

In the study of the interaction of nearly resonant strong laser light with matter the laser light is often assumed to be monochromatic. In more detailed experiments, however, the material response manifests the stochastic nature of the exciting field, and a detailed description of the stochastic process is needed. The approach used by most workers1 has been to assume a constant amplitude, a fixed nominal frequency and a phase that fluctuates. The most common is the description of the phase diffusion or Brownian-motion like process. Other models that had been used are the phase telegraph noise model, where the field is assumed to have a constant amplitude, fixed frequency, and a phase that jumps at random times between two values, and the Burshtein model of phase jumps, where the phase is assumed to jump at random with a random size jump.

RESONANCE FLUORESCENCE FROM ATOMS EXCITED BY STRONG STOCHASTIC LASER FIELDS

Publisher Summary When strong laser fields are tuned on resonance to an atomic transition, it gives rise to the triplet of resonance fluorescence (ResFl). It is assumed that the laser field is monochromatic even though the spectrum of real lasers is never infinitely sharp. Several models for phase fluctuations had been proposed, analyzed, and applied to different problems in nonlinear optics. These include, among others, the phase diffusion model, the uncorrelated phase jump model, and the phase telegraph noise model. The generalized jump model (GJM) has been introduced for phase fluctuations. This model deals with correlated phase jumps. In this model, Markovian as well as non-Markovian stochastic processes are discussed and a general set of equations is derived for the treatment of nonlinear optical problems. This chapter reviews the GJM model and discusses its application to the study of ResFl.

Non-Markovian Stochastic Jump Processes In Nonlinear Optics

A new non Markovian, correlated jump model for phase fluctuations of an electromagnetic field is introduced. The phase diffusion, generalized telegraph, Burshtein and Brownian-motion-like models are all obtained from this model in the proper limits. The spectrum and correlation functions of the stochastic field are predicted, and detailed lineshapes of the Mollow triplet of resonance fluorescence are given and shown to depend on the field intensity, a purely non Markovian effect. Two different experimental procedures are proposed for the determination of the stochastic parameters of a laser field.