Abstract
An effective computational technique to estimate lateral spatial effects in laser beams compressed by diffraction grating plates is established. In particular, the equivalence of the Kirchoff-Fresnel integral form to the exponential split-operator Fourier transform representation for a propagating-beam amplitude provides a more general numerical technique. Thus realistic beam profiles may be accurately propagated through the compressor pair, including grating-plate misalignment contributions. Additionally, the use of a stationary-phase approximation to the propagation integral kernel is shown to be a convenient, reliable method to evaluate analytical beam forms. Both the numerical and the approximate approaches generalize previously discussed ray-tracing approaches to optimize compressor design.
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