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J Opt Soc Am A Opt Image Sci Vis. 2003 Sep;20(9):1755-62.

Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves.

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  • 1Department of Electrical Engineering, Kansai University, 3-3-35 Yamate-cho, Suita, Osaka 564-8680, Japan.


A novel method for simulating field propagation is presented. The method, based on the angular spectrum of plane waves and coordinate rotation in the Fourier domain, removes geometric limitations posed by conventional propagation calculation and enables us to calculate complex amplitudes of diffracted waves on a plane not parallel to the aperture. This method can be implemented by using the fast Fourier transformation twice and a spectrum interpolation. It features computation time that is comparable with that of standard calculation methods for diffraction or propagation between parallel planes. To demonstrate the method, numerical results as well as a general formulation are reported for a single-axis rotation.

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