Rational design of a diffractive homogenizer for a laser beam

Svetlana Rudnaya; David Misemer; Fadil Santosa

doi:10.1023/A:1020352911182

Rational design of a diffractive homogenizer for a laser beam

Svetlana Rudnaya, David Misemer, Fadil Santosa

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The problem of designing a diffractive optical element (DOE) that produces a uniform-intensity beam from a spatially variable source is considered. Under the thin-lens approximation, the DOE is fully characterized by a phase function. Fresnel approximation is used to simplify the relationship between the input amplitude, the phase function, and the image intensity. The case where the light source has partial coherence is considered. A simple design procedure based on a lenslet array is proposed. It is shown that under certain physical assumptions, this 'engineering' solution leads to an effective design capable of producing a uniform intensity from a time-varying, non-uniform source.

Original language	English (US)
Pages (from-to)	189-199
Number of pages	11
Journal	Journal of Engineering Mathematics
Volume	43
Issue number	2-4
DOIs	https://doi.org/10.1023/A:1020352911182
State	Published - Aug 2002

Bibliographical note

Funding Information:
Svetlana Rudnaya gratefully acknowledges support from 3M. The authors acknowledge useful discussions with Dr. P. Fleming and Dr. R. Guenther. This research was supported in part by AFOSR through a MURI grant to the University of Delaware and by 3M Corporation.

Keywords

Approximate method
Design procedure
Diffractive optics
Optical homogenizer

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10.1023/A:1020352911182

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abstract = "The problem of designing a diffractive optical element (DOE) that produces a uniform-intensity beam from a spatially variable source is considered. Under the thin-lens approximation, the DOE is fully characterized by a phase function. Fresnel approximation is used to simplify the relationship between the input amplitude, the phase function, and the image intensity. The case where the light source has partial coherence is considered. A simple design procedure based on a lenslet array is proposed. It is shown that under certain physical assumptions, this 'engineering' solution leads to an effective design capable of producing a uniform intensity from a time-varying, non-uniform source.",

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note = "Funding Information: Svetlana Rudnaya gratefully acknowledges support from 3M. The authors acknowledge useful discussions with Dr. P. Fleming and Dr. R. Guenther. This research was supported in part by AFOSR through a MURI grant to the University of Delaware and by 3M Corporation.",

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AU - Misemer, David

AU - Santosa, Fadil

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N2 - The problem of designing a diffractive optical element (DOE) that produces a uniform-intensity beam from a spatially variable source is considered. Under the thin-lens approximation, the DOE is fully characterized by a phase function. Fresnel approximation is used to simplify the relationship between the input amplitude, the phase function, and the image intensity. The case where the light source has partial coherence is considered. A simple design procedure based on a lenslet array is proposed. It is shown that under certain physical assumptions, this 'engineering' solution leads to an effective design capable of producing a uniform intensity from a time-varying, non-uniform source.

AB - The problem of designing a diffractive optical element (DOE) that produces a uniform-intensity beam from a spatially variable source is considered. Under the thin-lens approximation, the DOE is fully characterized by a phase function. Fresnel approximation is used to simplify the relationship between the input amplitude, the phase function, and the image intensity. The case where the light source has partial coherence is considered. A simple design procedure based on a lenslet array is proposed. It is shown that under certain physical assumptions, this 'engineering' solution leads to an effective design capable of producing a uniform intensity from a time-varying, non-uniform source.

KW - Approximate method

KW - Design procedure

KW - Diffractive optics

KW - Optical homogenizer

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Rational design of a diffractive homogenizer for a laser beam

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