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Journal of Physics B Atomic and Molecular Physics

Theory of the double resonance Raman amplifier

Yitzhak Rabin, Michael R. Berman, A. Ben‐Reuven

Published May 28, 1980• 0 citations
Publisher

Abstract

A model is presented for steady-state three-level resonance Raman amplification, based on an algebraic expression for single-molecule amplification (including independently variable relaxation rates) with arbitrarily strong radiative couplings, combined with a numerical solution of non-linear equations governing macroscopic collinear propagation.

DOI
10.1088/0022-3700/13/10/019

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Algebraic methods are developed for deriving steady-state solutions of the Bloch equations for a system of NNN atomic (molecular) levels resonantly coupled to strong coherent radiation fields in the rotating-wave approximation, and undergoing thermal (radiative and collisional) homogeneous relaxation. These methods are applied to a "ladder" model, in which the excitation and relaxation occur by one-level steps, with one field mode in resonance with each step. Explicit solution (in terms of coupling strengths, relaxation rates, and frequency detunings) is given for the three-level system, and some observations are made on systems of four or more levels. The process of solution of the N2{N}^{2}N2-dimensional set of Bloch equations involves matrices of dimension $N\ensuremath{-}1$ or less.
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