Asymptotic analysis and design of diffractive optical elements

Svetlana Rudnaya; Fadil Santosa; Alessandra Chiareli; David Misemer

doi:10.1023/A:1020391728929

Asymptotic analysis and design of diffractive optical elements

Svetlana Rudnaya, Fadil Santosa, Alessandra Chiareli, David Misemer

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	255-279
Number of pages	25
Journal	Journal of Engineering Mathematics
Volume	43
Issue number	2-4
DOIs	https://doi.org/10.1023/A:1020391728929
State	Published - Aug 1 2002

Keywords

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

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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.",

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AB - 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.

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KW - Design problem

KW - Diffraction

KW - Diffractive optical elements

KW - Micro-optical device

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