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Fast Calculation of Spherical Computer Generated Holograms using Spectral Decomposition of Wave Propagation

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Abstract

A fast calculation method for computer generation of spherical holograms in proposed. This method is based on wave propagation defined in spectral domain and in spherical coordinates. The spherical wave spectrum and transfer function were derived from the scalar wave equation. A numerical method to evaluate the derived formula is suggested, which uses only Nlog2N operations for calculations on N points. Simulation results are presented to verify the correctness, accuracy and speed of the proposed method.

© 2013 Optical Society of America

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