6533b858fe1ef96bd12b628a

RESEARCH PRODUCT

Fast algorithms for free-space diffraction patterns calculation

Carlos FerreiraDavid MasFrancisco J. MarinhoLuís M. BernardoJavier Garcia

subject

DiffractionComputer sciencebusiness.industryFast Fourier transformPhysics::OpticsFresnel integralAtomic and Molecular Physics and OpticsDiscrete Fourier transformFractional Fourier transformElectronic Optical and Magnetic MaterialsDiscrete Fourier transform (general)symbols.namesakeCyclotomic fast Fourier transformOpticsFourier transformsymbolsPseudo-spectral methodElectrical and Electronic EngineeringPhysical and Theoretical ChemistryHarmonic wavelet transformbusinessAlgorithmFresnel diffraction

description

Here we present a fast algorithm for Fresnel integral calculation. Some fast algorithms using the fast Fourier transform are analysed and their performance has been checked. These methods are of easy implementation, but are only valid for a specific range of distances. Fast algorithms based on the Fractional Fourier transform allow accurate evaluation of the Fresnel integral from object to Fraunhofer domain in a single step.

yearjournalcountryeditionlanguage
1999-06-01Optics Communications
https://doi.org/10.1016/s0030-4018(99)00201-1