Asymptotic analysis and design of diffractive optical elements

Svetlana Rudnaya, Fadil Santosa, Alessandra Chiareli, David Misemer

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The problem of light diffraction by a micro-optical diffractive element is investigated. The method of stationary phase is applied to obtain approximate values of the integrals in the Kirchhoff approximation. The accuracy of the asymptotic approximation is studied in detail. As an application, the obtained approximate formulas are used to solve a design problem of constructing a diffractive optical element with a desired intensity distribution.

Original languageEnglish (US)
Pages (from-to)255-279
Number of pages25
JournalJournal of Engineering Mathematics
Volume43
Issue number2-4
DOIs
StatePublished - Aug 2002

Bibliographical note

Funding Information:
This work was carried out while Svetlana Rudnaya was enrolled in graduate studies at the University of Minnesota. During this period, she also served as an intern for the 3M company under the supervision of David Misemer and Alessandra Chiareli. The collaboration was facilitated by the Minnesota Center for Industrial Mathematics. This research was supported in part by AFOSR through a MURI grant to the University of Delaware and by 3M Corporation.

Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.

Keywords

  • Asymptotic analysis
  • Design problem
  • Diffraction
  • Diffractive optical elements
  • Micro-optical device

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