Exact light propagation between rotated planes using non-uniform sampling and angular spectrum method

Goodman, 2005 Rabal, 1985, Diffraction by a tilted aperture, coherent and partially coherent cases, Opt. Acta, 32, 1309, 10.1080/713821668 Leseberg, 1988, Computer generated holograms of 3-D objects composed of tilted planar segments, Appl. Opt., 27, 3020, 10.1364/AO.27.003020 Tommasi, 1992, Frequency analysis of light diffraction between rotated planes, Opt. Lett., 17, 556, 10.1364/OL.17.000556 Delen, 1998, Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach, J. Opt. Soc. Am. A, 15, 857, 10.1364/JOSAA.15.000857 Matsushima, 2003, Fast calculation method for optical diffraction on tilted planed by use of the angular spectrum of plane waves, J. Opt. Soc. Am. A, 20, 1755, 10.1364/JOSAA.20.001755 Matsushima, 2005, Computer-generated holograms for three-dimensional surface objects with shade and texture, Appl. Opt., 44, 4607, 10.1364/AO.44.004607 Nicola, 2005, Angular spectrum method with correction of anamorphism for numeral reconstruction of digital holograms on tilted planes, Opt. Express, 13, 9935, 10.1364/OPEX.13.009935 Matsushima, 2008, Formulation of the rotational transformation of wave fields and their application to digital holography, Appl. Opt., 47, D110, 10.1364/AO.47.00D110 Chang, 2014, Scaled diffraction calculation between tilted planes using non-uniform fast Fourier transform, Opt. Express, 22, 17331, 10.1364/OE.22.017331 Rudin, 1987 Shimobaba, 2013, Non-uniform sampled scalar diffraction calculation using non-uniform fast Fourier transform, Opt. Lett., 38, 5130, 10.1364/OL.38.005130 Shimobaba, 2012, Scaled angular spectrum method, Opt. Lett., 37, 4128, 10.1364/OL.37.004128 Greengard, 2004, Accelerating the non-uniform fast fourier transform, SIAM Rev., 46, 443, 10.1137/S003614450343200X Lee, 2005, The type 3 non-uniform FFT and its applications, J. Comput. Phys., 206, 1, 10.1016/j.jcp.2004.12.004 Dutt, 1993, Fast Fourier transforms for non-equispaced data, SIAM J. Sci. Comput., 14, 1368, 10.1137/0914081 Matsushima, 2009, Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields, Opt. Express, 17, 19662, 10.1364/OE.17.019662 Ferraro, 2004, Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms, Opt. Lett., 29, 854, 10.1364/OL.29.000854 Matsushima, 2010, Shifted angular spectrum method for off-axis numerical propagation, Opt. Express, 18, 18453, 10.1364/OE.18.018453 Kim, 2014, Non-uniform sampling and wide range angular spectrum method, J. Optics, 16, 125710, 10.1088/2040-8978/16/12/125710 Matrecano, 2014, Extended focus imaging in digital holographic microscopy: a review, Opt. Eng., 53, 11, 10.1117/1.OE.53.11.112317