Abstract
We describe a matrix multiplication procedure for evaluating the pixelated version of the near-field pattern of a discrete, one- or two-dimensional input. We show that for an input with pixels, in an area it is necessary to evaluate the Fresnel diffraction pattern at distances Our numerical algorithm is also useful for evaluating the fractional Fourier transform by multiplying by a special phase matrix with fractional parameter ϵ. If the phase matrix is evaluated at we find the discrete Fourier transform matrix.
© 1999 Optical Society of America
Full Article | PDF ArticleMore Like This
Kurt Bernardo Wolf and Guillermo Krötzsch
J. Opt. Soc. Am. A 16(4) 821-830 (1999)
Sébastien Coëtmellec, Denis Lebrun, and Cafer Özkul
J. Opt. Soc. Am. A 19(8) 1537-1546 (2002)
Magdy Tawfik Hanna, Amr Mohamed Shaarawi, Nabila Philip Attalla Seif, and Waleed Abd El Maguid Ahmed
J. Opt. Soc. Am. A 28(8) 1610-1619 (2011)