28 May 1999 Use of the fast Hankel transform for laser radar mode propagation, overlap integral calculation, and laser resonator analysis
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Abstract
The numerical use of the fast Hankel transform E-field propagator is described in this paper. For azimuthally symmetric E-field applications, this propagator is a useful tool for solving many common problems such as super-Gaussian and unstable resonator laser mode propagation within optical trains and then out to a target. Overlap integrals for coherent ladar may be easily computed. In addition, laser resonators with gain medium may be analyzed for mode structure and output power incorporating go(r), Isat(r), and extinction(r) with radially varying reflectivity and phase optics.
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Douglas G. Youmans, "Use of the fast Hankel transform for laser radar mode propagation, overlap integral calculation, and laser resonator analysis", Proc. SPIE 3707, Laser Radar Technology and Applications IV, (28 May 1999); doi: 10.1117/12.351358; https://doi.org/10.1117/12.351358
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