Determination of complex refractive index using prism composed of absorbing medium

Sasaki, Shosuke

doi:https://doi.org/10.1016/j.rio.2022.100260

Determination of complex refractive index using prism composed of absorbing medium

Sasaki, Shosuke

Results in Optics, 2022, 8, 100260

アクセス数:106件（2025-07-02 02:37 集計）

固定URL: https://hdl.handle.net/11094/88640

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タイトル	Determination of complex refractive index using prism composed of absorbing medium
著者	NRID 1000060029717 1000060029717 著者名 Sasaki, Shosuke
キーワード等	Absorbing
	Complex refractive index
	Deviation angle
	Laser path
	Light absorption
	Prism
	Refraction
内容	Sasaki S.. Determination of complex refractive index using prism composed of absorbing medium. Results in Optics, 8, 100260. https://doi.org/10.1016/j.rio.2022.100260.
抄録	In light refraction between two transparent media, Snell's law describes the relationship between the incident angle and refraction angle. The refractive index is usually determined from Snell's law using the minimum deviation angle through a prism. A medium that partially absorbs light has complex permittivity (or permeability), and its refractive index has an imaginary part. Because of the imaginary part, Snell's law does not hold for light-absorbing media. Accordingly, other methods are required to determine the complex value of the refractive index in a light-absorbing medium. The exact solution of Maxwell's equations was obtained for light passing through a prism composed of a light-absorbing medium. Thereby the optical path was determined. The difference of optical paths between light-absorbing medium and transparent medium was calculated numerically. The difference is very large in the neighborhood of perfect reflection area of transparent medium. We found two methods to determine the complex value of the refractive index using the optical path. Both methods analyzed the solutions in detail for two specific incident angles. The deviation angles corresponding to the two incident angles determined the complex value of the prism's refractive index. Of course, the obtained refractive index depends only on the material making up the prism, not on the apex angle of the prism.
出版者	Elsevier B.V.
収録物名	Results in Optics
巻(号)	8
ページ	100260
刊行年月	2022-06-26
言語	英語
ハンドルURL	https://hdl.handle.net/11094/88640
eISSN	26669501
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.1016/j.rio.2022.100260
アクセス権	open access
権利情報	This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Results in Optics. 2022, 8, p. 100260
DC.title	Determination of complex refractive index using prism composed of absorbing medium
DC.creator	Sasaki, Shosuke
DC.publisher	Elsevier B.V.
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2022-06-26
DC.identifier	https://doi.org/10.1016/j.rio.2022.100260
DC.subject	Absorbing
	Complex refractive index
	Deviation angle
	Laser path
	Light absorption
	Prism
	Refraction
DC.description	Sasaki S.. Determination of complex refractive index using prism composed of absorbing medium. Results in Optics, 8, 100260. https://doi.org/10.1016/j.rio.2022.100260.
DCTERMS.abstract	In light refraction between two transparent media, Snell's law describes the relationship between the incident angle and refraction angle. The refractive index is usually determined from Snell's law using the minimum deviation angle through a prism. A medium that partially absorbs light has complex permittivity (or permeability), and its refractive index has an imaginary part. Because of the imaginary part, Snell's law does not hold for light-absorbing media. Accordingly, other methods are required to determine the complex value of the refractive index in a light-absorbing medium. The exact solution of Maxwell's equations was obtained for light passing through a prism composed of a light-absorbing medium. Thereby the optical path was determined. The difference of optical paths between light-absorbing medium and transparent medium was calculated numerically. The difference is very large in the neighborhood of perfect reflection area of transparent medium. We found two methods to determine the complex value of the refractive index using the optical path. Both methods analyzed the solutions in detail for two specific incident angles. The deviation angles corresponding to the two incident angles determined the complex value of the prism's refractive index. Of course, the obtained refractive index depends only on the material making up the prism, not on the apex angle of the prism.
DC.rights	This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
DC.format	88640
citation_title	Determination of complex refractive index using prism composed of absorbing medium
citation_author	Sasaki, Shosuke
citation_publisher	Elsevier B.V.
citation_language	英語
citation_date	2022-06-26
citation_journal_title	Results in Optics
citation_volume	8
citation_firstpage	100260
citation_doi	https://doi.org/10.1016/j.rio.2022.100260
citation_public_url	https://hdl.handle.net/11094/88640

Determination of complex refractive index using prism composed of absorbing medium

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