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Coherent field propagation between tilted planes

: Stock, J.; Worku, N.G.; Gross, H.


Journal of the Optical Society of America. A, Optics, image science, and vision 34 (2017), Nr.10, S.1849-1855
ISSN: 1084-7529
ISSN: 0740-3232
ISSN: 1520-8532
Fraunhofer IOF ()

Propagating electromagnetic light fields between nonparallel planes is of special importance, e.g., within the design of novel computer-generated holograms or the simulation of optical systems. In contrast to the extensively discussed evaluation between parallel planes, the diffraction-based propagation of light onto a tilted plane is more burdensome, since discrete fast Fourier transforms cannot be applied directly. In this work, we propose a quasi-fast algorithm (ON 3 log N ) that deals with this problem. Based on a proper decomposition into three rotations, the vectorial field distribution is calculated on a tilted plane using the spectrum of plane waves. The algorithm works on equidistant grids, so neither nonuniform Fourier transforms nor an explicit complex interpolation is necessary. The proposed algorithm is discussed in detail and applied to several examples of practical interest.