Diffraction field computation from arbitrarily distributed data points in space

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摘要

Computation of the diffraction field from a given set of arbitrarily distributed data points in space is an important signal processing problem arising in digital holographic 3D displays. The field arising from such distributed data points has to be solved simultaneously by considering all mutual couplings to get correct results. In our approach, the discrete form of the plane wave decomposition is used to calculate the diffraction field. Two approaches, based on matrix inversion and on projections on to convex sets (POCS), are studied. Both approaches are able to obtain the desired field when the number of given data points is larger than the number of data points on a transverse cross-section of the space. The POCS-based algorithm outperforms the matrix-inversion-based algorithm when the number of known data points is large.

论文关键词:Scalar optical diffraction,Plane wave decomposition,Pseudo-matrix inversion,Projection onto convex sets

论文评审过程:Received 21 November 2006, Accepted 29 November 2006, Available online 26 December 2006.

论文官网地址:https://doi.org/10.1016/j.image.2006.11.008