$A theoretical framework for general design of two-materials composed diffractive fresnel lens$
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A theoretical framework for general design of two-materials composed diffractive fresnel lens

Abstract Near 100% of diffractive efficiency for diffractive optical elements (DOEs) is one of the most required optical performances in broadband imaging applications. Of all flat DOEs, none seems to interest researchers as much as Two-Materials Composed Diffractive Fresnel Lens (TM-DFL) among the...

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Autores principales:	Ming-Yen Lin, Chih-Hao Chuang, Tzu-An Chou, Chien-Yu Chen
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e791a32690ca4675bb006f42ba2e2503
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id	oai:doaj.org-article:e791a32690ca4675bb006f42ba2e2503
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spelling	oai:doaj.org-article:e791a32690ca4675bb006f42ba2e25032021-12-02T16:06:45ZA theoretical framework for general design of two-materials composed diffractive fresnel lens10.1038/s41598-021-94953-42045-2322https://doaj.org/article/e791a32690ca4675bb006f42ba2e25032021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-94953-4https://doaj.org/toc/2045-2322Abstract Near 100% of diffractive efficiency for diffractive optical elements (DOEs) is one of the most required optical performances in broadband imaging applications. Of all flat DOEs, none seems to interest researchers as much as Two-Materials Composed Diffractive Fresnel Lens (TM-DFL) among the most promising flat DOEs. An approach of the near 100% of diffractive efficiency for TM-DFL once developed to determine the design rules mainly takes the advantage of numerical computation by methods of mapping and fitting. Despite a curved line of near 100% of diffractive efficiency can be generated in the Abbe and partial dispersion diagram, it is not able to analytically elaborate the relationship between two optical materials that compose the TM-DFL. Here, we present a theoretical framework, based on the fundaments of Cauchy's equation, Abbe number, partial dispersion, and the diffraction theory of Fresnel lens, for obtaining a general design formalism, so to perform the perfect material matching between two different optical materials for achieving the near 100% of diffractive efficiency for TM-DFL in the broadband imaging applications.Ming-Yen LinChih-Hao ChuangTzu-An ChouChien-Yu ChenNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ming-Yen Lin Chih-Hao Chuang Tzu-An Chou Chien-Yu Chen A theoretical framework for general design of two-materials composed diffractive fresnel lens
description	Abstract Near 100% of diffractive efficiency for diffractive optical elements (DOEs) is one of the most required optical performances in broadband imaging applications. Of all flat DOEs, none seems to interest researchers as much as Two-Materials Composed Diffractive Fresnel Lens (TM-DFL) among the most promising flat DOEs. An approach of the near 100% of diffractive efficiency for TM-DFL once developed to determine the design rules mainly takes the advantage of numerical computation by methods of mapping and fitting. Despite a curved line of near 100% of diffractive efficiency can be generated in the Abbe and partial dispersion diagram, it is not able to analytically elaborate the relationship between two optical materials that compose the TM-DFL. Here, we present a theoretical framework, based on the fundaments of Cauchy's equation, Abbe number, partial dispersion, and the diffraction theory of Fresnel lens, for obtaining a general design formalism, so to perform the perfect material matching between two different optical materials for achieving the near 100% of diffractive efficiency for TM-DFL in the broadband imaging applications.
format	article
author	Ming-Yen Lin Chih-Hao Chuang Tzu-An Chou Chien-Yu Chen
author_facet	Ming-Yen Lin Chih-Hao Chuang Tzu-An Chou Chien-Yu Chen
author_sort	Ming-Yen Lin
title	A theoretical framework for general design of two-materials composed diffractive fresnel lens
title_short	A theoretical framework for general design of two-materials composed diffractive fresnel lens
title_full	A theoretical framework for general design of two-materials composed diffractive fresnel lens
title_fullStr	A theoretical framework for general design of two-materials composed diffractive fresnel lens
title_full_unstemmed	A theoretical framework for general design of two-materials composed diffractive fresnel lens
title_sort	theoretical framework for general design of two-materials composed diffractive fresnel lens
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e791a32690ca4675bb006f42ba2e2503
work_keys_str_mv	AT mingyenlin atheoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT chihhaochuang atheoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT tzuanchou atheoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT chienyuchen atheoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT mingyenlin theoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT chihhaochuang theoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT tzuanchou theoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens AT chienyuchen theoreticalframeworkforgeneraldesignoftwomaterialscomposeddiffractivefresnellens
_version_	1718384875421040640

A theoretical framework for general design of two-materials composed diffractive fresnel lens

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