31 August 2006 Laser beam propagation in nonlinearly absorbing media
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Many analytical techniques exist to explore the propagation of certain laser beams in free space, or in a linearly absorbing medium. When the medium is nonlinearly absorbing the propagation must be described by an iterative process using the well known Kirchoff-Fresnel diffraction equation. In this paper Gaussian and super-Gaussian beam shapes are propagated both through free space, and through a nonlinearly absorbing medium. The results show that shape invariance during propagation is dependent on the medium under consideration, and we find that super-Gaussian fields are shape invariant in certain nonlinearly absorbing media.
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Andrew Forbes, "Laser beam propagation in nonlinearly absorbing media", Proc. SPIE 6290, Laser Beam Shaping VII, 629003 (31 August 2006); doi: 10.1117/12.682842; https://doi.org/10.1117/12.682842

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