Nonlinear theory of a three-level laser with microwave coupling: numerical calculation

Heidi Fearn; Willis E. Lamb Jr.; Marlan O. Scully

doi:10.1117/12.46784

1 September 1991 Nonlinear theory of a three-level laser with microwave coupling: numerical calculation

Heidi Fearn, Willis E. Lamb Jr., Marlan O. Scully

Proceedings Volume 1497, Nonlinear Optics and Materials; (1991) https://doi.org/10.1117/12.46784
Event: Southcentral '91 (Dallas), 1991, Dallas, TX, United States

Abstract

A nondegenerate three-level atomic system is considered, and the possibility of lasering without population inversion via numerical computations is investigated. The atomic system consists of one upper level and two closely spaced lower levels, which are coherently mixed by a microwave field interaction. A numerical calculation is performed, based on a variable step formulation of the classic Adams formulae for solving first-order differential equations. This method of solution has been outlined by C. W. Gear and by L. F. Shampine and M. K. Gordon. The authors adapt this algorithm for use with complex double precision arrays and apply the resulting program to the Maxwell-Schrodinger equations of this atomic system. This enables the authors to carry out a strong field analysis of the atom-field interaction, since they are not restricting their analysis to perturbation theory.

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Heidi Fearn, Willis E. Lamb Jr., and Marlan O. Scully "Nonlinear theory of a three-level laser with microwave coupling: numerical calculation", Proc. SPIE 1497, Nonlinear Optics and Materials, (1 September 1991); https://doi.org/10.1117/12.46784

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