Case study: A simple optical inverse problem from a geometrical optics point of view

In this paper, we revisit the simple problem of reflection from a dielectric sphere for light rays and define a form of optical inverse problem in the sense of geometrical optics (GO). A general analytic formula is derived to obtain the refraction index of the sphere for any incidence light to emerg...

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Main Authors: Anshi Yan, Yangjie Liu, Wenfeng Wang
Format: Article
Language:English
Published: World Scientific Publishing 2019-04-01
Series:Journal of Advanced Dielectrics
Subjects:
Online Access:http://www.worldscientific.com/doi/pdf/10.1142/S2010135X1950019X
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spelling doaj-ccc56902bdc54360be4db44936c2e8ec2020-11-25T00:55:22ZengWorld Scientific PublishingJournal of Advanced Dielectrics2010-135X2010-13682019-04-01921950019-11950019-710.1142/S2010135X1950019X10.1142/S2010135X1950019XCase study: A simple optical inverse problem from a geometrical optics point of viewAnshi Yan0Yangjie Liu1Wenfeng Wang2School of Physics and Electronic Science, Physics Building, Hubei University, Wuhan 430062, P. R. ChinaSchool of Physics and Electronic Science, Physics Building, Hubei University, Wuhan 430062, P. R. ChinaSchool of Physics and Electronic Science, Physics Building, Hubei University, Wuhan 430062, P. R. ChinaIn this paper, we revisit the simple problem of reflection from a dielectric sphere for light rays and define a form of optical inverse problem in the sense of geometrical optics (GO). A general analytic formula is derived to obtain the refraction index of the sphere for any incidence light to emerge in a deflected angle. Numerical wave simulation and ray tracing are performed to verify the inverse formulae derived.http://www.worldscientific.com/doi/pdf/10.1142/S2010135X1950019XInverse problemgeometrical opticsmetamaterials
collection DOAJ
language English
format Article
sources DOAJ
author Anshi Yan
Yangjie Liu
Wenfeng Wang
spellingShingle Anshi Yan
Yangjie Liu
Wenfeng Wang
Case study: A simple optical inverse problem from a geometrical optics point of view
Journal of Advanced Dielectrics
Inverse problem
geometrical optics
metamaterials
author_facet Anshi Yan
Yangjie Liu
Wenfeng Wang
author_sort Anshi Yan
title Case study: A simple optical inverse problem from a geometrical optics point of view
title_short Case study: A simple optical inverse problem from a geometrical optics point of view
title_full Case study: A simple optical inverse problem from a geometrical optics point of view
title_fullStr Case study: A simple optical inverse problem from a geometrical optics point of view
title_full_unstemmed Case study: A simple optical inverse problem from a geometrical optics point of view
title_sort case study: a simple optical inverse problem from a geometrical optics point of view
publisher World Scientific Publishing
series Journal of Advanced Dielectrics
issn 2010-135X
2010-1368
publishDate 2019-04-01
description In this paper, we revisit the simple problem of reflection from a dielectric sphere for light rays and define a form of optical inverse problem in the sense of geometrical optics (GO). A general analytic formula is derived to obtain the refraction index of the sphere for any incidence light to emerge in a deflected angle. Numerical wave simulation and ray tracing are performed to verify the inverse formulae derived.
topic Inverse problem
geometrical optics
metamaterials
url http://www.worldscientific.com/doi/pdf/10.1142/S2010135X1950019X
work_keys_str_mv AT anshiyan casestudyasimpleopticalinverseproblemfromageometricalopticspointofview
AT yangjieliu casestudyasimpleopticalinverseproblemfromageometricalopticspointofview
AT wenfengwang casestudyasimpleopticalinverseproblemfromageometricalopticspointofview
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