Optimal representation and processing of optical signals in quadratic-phase systems
Ozaktas, H., M.
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21813
Optical fields propagating through quadratic-phase systems (QPSs) can be modeled as magnified fractional Fourier transforms (FRTs) of the input field, provided we observe them on suitably defined spherical reference surfaces. Non-redundant representation of the fields with the minimum number of samples becomes possible by appropriate choice of sample points on these surfaces. Longitudinally, these surfaces should not be spaced equally with the distance of propagation, but with respect to the FRT order. The non-uniform sampling grid that emerges mirrors the fundamental structure of propagation through QPSs. By providing a means to effectively handle the sampling of chirp functions, it allows for accurate and efficient computation of optical fields propagating in QPSs. © 2015 Elsevier B.V. All rights reserved.
- Research Paper 
Showing items related by title, author, creator and subject.
Fast and accurate linear canonical transform algorithms [Hizli ve Hassas Doʇrusal Kanonik Dönüşüm Algoritmalari] Özaktaş H.M.; Koç, A. (Institute of Electrical and Electronics Engineers Inc., 2015)Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform ...
Sparse representation of two- and three-dimensional images with fractional Fourier, Hartley, linear canonical, and Haar wavelet transforms Koç A.; Bartan B.; Gundogdu E.; Çukur T.; Ozaktas H.M. (Elsevier Ltd, 2017)Sparse recovery aims to reconstruct signals that are sparse in a linear transform domain from a heavily underdetermined set of measurements. The success of sparse recovery relies critically on the knowledge of transform ...
Arik S.Ö.; Ozaktas H.M. (Elsevier, 2016)Optical fields propagating through quadratic-phase systems (QPSs) can be modeled as magnified fractional Fourier transforms (FRTs) of the input field, provided we observe them on suitably defined spherical reference surfaces. ...