The Ptolemy-Alhazen problem and quadric surface mirror reflection

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dc.contributor.authorFujimura Masayo
dc.contributor.authorMocanu Marcelina
dc.contributor.authorVuorinen Matti
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id175834703
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/175834703
dc.date.accessioned2022-10-27T11:52:28Z
dc.date.available2022-10-27T11:52:28Z
dc.description.abstract<p>We discuss the problem of the reflection of light on spherical and quadric surface mirrors. In the case of spherical mirrors, this problem is known as the Alhazen problem. For the spherical mirror problem, we focus on the reflection property of an ellipse and show that the catacaustic curve of the unit circle follows naturally from the equation obtained from the reflection property of an ellipse. Moreover, we provide an algebraic equation that solves Alhazen's problem for quadric surface mirrors.</p>
dc.identifier.eissn1747-6941
dc.identifier.jour-issn1747-6933
dc.identifier.olddbid172462
dc.identifier.oldhandle10024/155556
dc.identifier.urihttps://www.utupub.fi/handle/11111/30208
dc.identifier.urlhttps://www.tandfonline.com/doi/full/10.1080/17476933.2022.2084537
dc.identifier.urnURN:NBN:fi-fe2022081153703
dc.language.isoen
dc.okm.affiliatedauthorVuorinen, Matti
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherTAYLOR & FRANCIS LTD
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.doi10.1080/17476933.2022.2084537
dc.relation.ispartofjournalComplex Variables and Elliptic Equations
dc.source.identifierhttps://www.utupub.fi/handle/10024/155556
dc.titleThe Ptolemy-Alhazen problem and quadric surface mirror reflection
dc.year.issued2022

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