Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other

For optical beams transmitted by a right-angle prism, the Goos–Hänchen shift can never be seen as a pure effect. Indeed, the lateral displacement, caused by the total internal reflection, will always be accompanied by angular deviations generated by the transmission through the incoming and outgoing...

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Main Authors: Stefano De Leo, Luca Maggio, Moreno d’Ambrosio
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/9/9/643
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author Stefano De Leo
Luca Maggio
Moreno d’Ambrosio
author_facet Stefano De Leo
Luca Maggio
Moreno d’Ambrosio
author_sort Stefano De Leo
collection DOAJ
description For optical beams transmitted by a right-angle prism, the Goos–Hänchen shift can never be seen as a pure effect. Indeed, the lateral displacement, caused by the total internal reflection, will always be accompanied by angular deviations generated by the transmission through the incoming and outgoing interfaces. This combined effect can be analyzed by using the Taylor expansion of the Fresnel coefficients. The analytic expression found for the transmitted beam allows us to determine the beam parameters, the incidence angles, and the axial distance for which lateral displacements are compensated by angular deviations. Proposals to optimize experimental implementations are also briefly discussed.
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spelling doaj.art-bd0a0445b115420b8b5918d0f3a246922023-11-23T18:24:51ZengMDPI AGPhotonics2304-67322022-09-019964310.3390/photonics9090643Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each OtherStefano De Leo0Luca Maggio1Moreno d’Ambrosio2Department of Applied Mathematics, State University of Campinas, Campinas 13083859, BrazilDepartment of Mathematics and Physics, University of Salento, 73100 Lecce, ItalyDepartment of Mathematics and Physics, University of Salento, 73100 Lecce, ItalyFor optical beams transmitted by a right-angle prism, the Goos–Hänchen shift can never be seen as a pure effect. Indeed, the lateral displacement, caused by the total internal reflection, will always be accompanied by angular deviations generated by the transmission through the incoming and outgoing interfaces. This combined effect can be analyzed by using the Taylor expansion of the Fresnel coefficients. The analytic expression found for the transmitted beam allows us to determine the beam parameters, the incidence angles, and the axial distance for which lateral displacements are compensated by angular deviations. Proposals to optimize experimental implementations are also briefly discussed.https://www.mdpi.com/2304-6732/9/9/643laserGoos–Hänchen shiftangular deviations
spellingShingle Stefano De Leo
Luca Maggio
Moreno d’Ambrosio
Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other
Photonics
laser
Goos–Hänchen shift
angular deviations
title Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other
title_full Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other
title_fullStr Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other
title_full_unstemmed Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other
title_short Goos–Hänchen Lateral Displacements and Angular Deviations: When These Optical Effects Offset Each Other
title_sort goos hanchen lateral displacements and angular deviations when these optical effects offset each other
topic laser
Goos–Hänchen shift
angular deviations
url https://www.mdpi.com/2304-6732/9/9/643
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