Open AccessAlternative approach to evaluate the Rayleigh-Sommerfeld diffraction integrals using tilted spherical waves
Author(s) -
Noé Alcalá Ochoa
Publication year - 2017
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.25.012008
Subject(s) - paraxial approximation , diffraction , fresnel diffraction , physics , rayleigh scattering , optics , scalar (mathematics) , kirchhoff's diffraction formula , fourier transform , fresnel integral , ptychography , fresnel zone , mathematical analysis , mathematics , geometry , quantum mechanics , beam (structure)
It is reported an approximation to the scalar and vectorial Rayleigh-Sommerfeld diffraction integrals performed with a Fourier transform operation, as done in Fresnel and Fraunhoffer approximations, but suitable for paraxial, non-paraxial and off-axis regimes. High accuracy is obtained even for waves with low f numbers. The approximation becomes exact on-axis.