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European Quantum Electronics Conference (EQEC)

Polarization Steady-States and Instabilities in a Vector J=1→J/sup '/=0 Coherently Pumped Laser

Alexander M. Kul'minskii, Ramon A. Vilaseca, R. Corbalán

Published Aug 24, 2005• 0 citations
Publisher
DOI
10.1109/eqec.1998.715080

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We solved in steady state in the rotating wave limit a five-level model which is fully coherent on the coupled pump–laser transition and includes relaxation of diagonal elements through, two rotational reservoirs connected by vibrational relaxation. The equations were solved in steady state for χ P ″ and χ S ″, the imaginary susceptibilities on the pump and laser transitions. These results were velocity integrated to generate susceptibilities for the inhomogeneously broadened system with arbitrary field strengths and relaxation rates.1 The effects of pump absorption were included by numerically integrating the spatial differential equation for the pump intensity down the laser axis.

•Apr 26, 1987•1 citation
We study theoretically the dynamic behavior of a J′=1→J″=0 laser (J is the angular momentum quantum number) optically pumped by means of a linearly polarized coherent field (coupled to an adjacent transition J=0→J′=1) when the pump field polarization is rotated at a constant angular velocity Ω and the laser field polarization either is fixed by the cavity or is free (isotropic cavity). Because of a strong pump-induced gain anisotropy, the dynamic behavior is completely different in each case. In the case of fixed laser field polarization, rich amplitude dynamics, which depend on the pump field strength, are found. At slow modulation frequencies (with respect to the molecular and the cavity relaxation rates), the system does not always follow the sequence of stationary and dynamic solutions that correspond to the autonomous laser as a function of the relative orientation angle between the polarizations of the pump and the laser fields. Phenomena such as delayed switching and suppression of chaos and stabilization of unstable steady states are found. In the case of an isotropic cavity, the pump field vector rotation is transferred to the laser field vector and amplitude unstable regimes are also strongly inhibited.
We present a microscopic mathematical model for the polarization states of a single-frequency Nd/sup 3+/:YAG laser. It is a plane wave, mean field, vector model carried to all orders in the laser field. The crystal is assumed to be optically pumped longitudinally with a laser of specified polarization. For D/sub 2/ site symmetry and an odd number of electrons, we establish the phase relationships between the components of the electric dipole matrix elements between the Kramers states. These relationships are central in determining the site-specific coupling between both, the pump and laser fields to the Nd/sup 3+/ ions. The laser cavity is assumed to be linear and quasi-isotropic. The residual optical anisotropies are included using a round-trip Jones matrix formalism.
We solved in steady state in the rotating wave limit a five-level model which is fully coherent on the coupled pump–laser transition and includes relaxation of diagonal elements through, two rotational reservoirs connected by vibrational relaxation. The equations were solved in steady state for χ P ″ and χ S ″, the imaginary susceptibilities on the pump and laser transitions. These results were velocity integrated to generate susceptibilities for the inhomogeneously broadened system with arbitrary field strengths and relaxation rates.1 The effects of pump absorption were included by numerically integrating the spatial differential equation for the pump intensity down the laser axis.