Application of radiative renormalization to strong-field resonant nonlinear optical interactions

O. Blum, P. Harshman, T. K. Gustafson, and P. L. Kelley
Phys. Rev. A 47, 5165 – Published 1 June 1993
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Abstract

The Liouville equation for the density matrix can be recast so that the external-field terms which couple density-matrix elements are second order in the field. This approach is shown to have a profound effect on the steady-state analysis of strong-field resonant nonlinear optical problems. First, in the case where parity or appropriate field restrictions apply, there is a reduction of the number of coupled equations which must be solved by at least a factor of 2. Second, this reformulation naturally leads to radiative-renormalization terms which are directly related to saturation, Stark shifts, and Rabi splittings. We can use this simple formalism to obtain solutions to a number of resonant nonlinear problems including cases where there are two or more strong fields. The renormalization described here is equivalent to a Dyson-equation analysis.

  • Received 1 December 1992

DOI:https://doi.org/10.1103/PhysRevA.47.5165

©1993 American Physical Society

Authors & Affiliations

O. Blum, P. Harshman, and T. K. Gustafson

  • Department of Electrical Engineering and Computer Sciences and The Electronics Research Laboratory, University of California, Berkeley, California 94720

P. L. Kelley

  • Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Massachusetts 02173

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Issue

Vol. 47, Iss. 6 — June 1993

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