Open AccessEfficient matrix approach to optical wave propagation and Linear Canonical Transforms
Author(s) -
Sami A. Shakir,
David L. Fried,
Edwin A Pease,
Terry J. Brennan,
Thomas M. Dolash
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.026853
Subject(s) - fast fourier transform , strehl ratio , transformation matrix , optics , computer science , algorithm , aliasing , matrix (chemical analysis) , mathematics , wavefront , filter (signal processing) , physics , materials science , kinematics , classical mechanics , composite material , computer vision
The Fresnel diffraction integral form of optical wave propagation and the more general Linear Canonical Transforms (LCT) are cast into a matrix transformation form. Taking advantage of recent efficient matrix multiply algorithms, this approach promises an efficient computational and analytical tool that is competitive with FFT based methods but offers better behavior in terms of aliasing, transparent boundary condition, and flexibility in number of sampling points and computational window sizes of the input and output planes being independent. This flexibility makes the method significantly faster than FFT based propagators when only a single point, as in Strehl metrics, or a limited number of points, as in power-in-the-bucket metrics, are needed in the output observation plane.