R. Zaibel

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.

General jump model for laser noise: non-Markovian phase and frequency jumps

An extension of the non-Markovian jump model of laser noise to the case of correlated frequency jumps is considered. The model parameters are the mean jump time the rms jump size and a correlation parameter which quantifies the degree of correlation between two successive jumps. A technique to obtain exact expressions for correlation functions is described. While the basic jump processes are stationary both the phase and frequency fluctuations are not. The field autocorrelation function for the pure phase jump process is stationary for all values of the correlation parameter. For the frequency jump process the average over all initial times of the two time field autocorrelation function is non zero only for fully anticorrelated jumps.

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.