Modeling of side-pumped lasers with astigmatic aberrations

Robert Bruce Michie; Alan H. Paxton; W. Pete Latham

doi:10.1117/12.58944

1 June 1992 Modeling of side-pumped lasers with astigmatic aberrations

Robert Bruce Michie, Alan H. Paxton, W. Pete Latham

Proceedings Volume 1625, Design, Modeling, and Control of Laser Beam Optics; (1992) https://doi.org/10.1117/12.58944
Event: OE/LASE '92, 1992, Los Angeles, CA, United States

Abstract

The propagation equations for the mode of a laser with significant variation of the index of refraction in one transverse dimension are simplified by a transformation of the coordinate system. The new z axis is parallel to the resonator optical axis, the curved ray that reproduces itself after a round trip propagation. The apertures of the resonator are offset by the transformation, and the linear variation of the index of refraction is accounted for by the transformation rather than by the addition of an explicit tilt to the phase of the field. The resonator optical axis is well approximated by a quadratic curve. An analytic expression is given for the optimum tilt of the end mirrors. Expressions are also derived for the optical axes of confocal unstable and half-symmetric stable resonators with mirror alignment that is uncorrected for the variation of the index of refraction. Numerical results for a laser with this type of medium-induced aberration are included.

Citation Download Citation

Robert Bruce Michie, Alan H. Paxton, and W. Pete Latham "Modeling of side-pumped lasers with astigmatic aberrations", Proc. SPIE 1625, Design, Modeling, and Control of Laser Beam Optics, (1 June 1992); https://doi.org/10.1117/12.58944

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