Asymptotic analysis and design of diffractive optical elements
type: Item
instance of: scholarly article
title: Asymptotic analysis and design of diffractive optical elements
zbMATH Open document ID: 1019.78002
DOI: 10.1023/A:1020391728929
author: Svetlana Rudnaya
author: Fadil Santosa
author: Alessandra Chiareli
author: David Misemer
published in: Journal of Engineering Mathematics
publication date: 2003-03-10T00:00:00Z
review text: The paper analyzes the relationship between a Diffractive Optical Element (DOE) and its light intensity pattern, provided that the diffracting aperture is large compared with the wavelength and the diffracted field is observed not too close to the aperture. Using the Rayleigh-Sommerfeld diffraction theory, the authors present a stationary-phase analysis of the Kirchhoff integral when the DOE has a multiscale structure. Moreover, it is shown how the simplified formula can be used to design a DOE with given intensity pattern. Several numerical examples illustrate the accuracy of the asymptotic approximation.
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78M35
Mathematics Subject Classification ID: 78A46
zbMATH DE Number: 1878784
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: design problem
zbMATH Keywords: Kirchhoff approximation
zbMATH Keywords: diffractive optical elements
zbMATH Keywords: method of stationary phase
reviewed by: Johannes Elschner
MaRDI profile type: Publication
full work available at URL: a:1020391728929
OpenAlex ID: W43452818
description: scientific article; zbMATH DE number 1878784