18 August 2005 Two-dimensional boundary-less optical field propagation
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A novel paraxial propagation scheme for two-dimensional optical field wave-fronts is proposed, in Cartesian and cylindrical coordinate systems. This is achieved by extending the method originally proposed by Ladouceur [Opt. Lett. 21, 4 (1996)], for boundary-less one-dimensional beam propagation, to two-dimensional optical wave-fronts. With this formulation the arbitrary choice of physical window size is avoided by mapping the infinite transverse dimensions into a finite-size domain with an appropriate change of variables, thus avoiding the energy loss through the artificial physical boundary that is usually required for the absorbing or the transparent boundary approach. Comparison of analytical solution of propagating wave-fronts and those obtained with the proposed algorithm is given, a discussion of the method advantages and limitations is also provided.
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Manuel Guizar-Sicairos, Manuel Guizar-Sicairos, Julio C. Gutierrez-Vega, Julio C. Gutierrez-Vega, "Two-dimensional boundary-less optical field propagation", Proc. SPIE 5867, Optical Modeling and Performance Predictions II, 586717 (18 August 2005); doi: 10.1117/12.615491; https://doi.org/10.1117/12.615491

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