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dc.contributor.author
Gutierrez, Cristian E.  
dc.contributor.author
Tournier, Federico  
dc.date.available
2017-07-12T15:57:38Z  
dc.date.issued
2011-04  
dc.identifier.citation
Gutierrez, Cristian E.; Tournier, Federico; Surfaces refracting and reflecting collimated beams; Optical Society of America; Journal Of The Optical Society Of America; 28; 9; 4-2011; 1860-1863  
dc.identifier.issn
0030-3941  
dc.identifier.uri
http://hdl.handle.net/11336/20220  
dc.description.abstract
We describe necessary and sufficient conditions for image transformations so that surfaces refracting or reflecting collimated beams exist. The surfaces are given by explicit formulas. When these conditions are not satisfied, we show that a surface can be found so that it minimizes the 2 distance between its gradient and the image transformation.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Optical Society of America  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Refracting Surfaces  
dc.subject
Reflectin Surfaces  
dc.subject
Collimated Beams  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Surfaces refracting and reflecting collimated beams  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-12T13:19:14Z  
dc.journal.volume
28  
dc.journal.number
9  
dc.journal.pagination
1860-1863  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Gutierrez, Cristian E.. Temple University; Estados Unidos  
dc.description.fil
Fil: Tournier, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina  
dc.journal.title
Journal Of The Optical Society Of America  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-28-9-1860  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1364/JOSAA.28.001860