On the design of spherical gradient index lenses

Miñano Dominguez, Juan Carlos and Grabovičkić, Dejan and Benitez Gimenez, Pablo and Gonzalez Lopez, Juan Carlos and Santamaria Galdon, Maria Asuncion (2012). On the design of spherical gradient index lenses. In: "Optical Modelling and Design II. Proceedings of SPIE", 16/04/2012, Brussels, Belgium.

Description

Title: On the design of spherical gradient index lenses
Author/s:
  • Miñano Dominguez, Juan Carlos
  • Grabovičkić, Dejan
  • Benitez Gimenez, Pablo
  • Gonzalez Lopez, Juan Carlos
  • Santamaria Galdon, Maria Asuncion
Item Type: Presentation at Congress or Conference (Article)
Event Title: Optical Modelling and Design II. Proceedings of SPIE
Event Dates: 16/04/2012
Event Location: Brussels, Belgium
Title of Book: Optical Modelling and Design II. Proceedings of SPIE
Date: 2012
Subjects:
Freetext Keywords: Geometrical optics, GRIN lenses, Mathematical methods
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Electrónica Física
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Classical spherical gradient index (GRIN) lenses (such as Maxwell Fish Eye lens, Eaton lens, Luneburg lens, etc.) design procedure using the Abel integral equation is reviewed and reorganized. Each lens is fully defined by a function called the angle of flight which describes the ray deflection through the lens. The radial refractive index distribution is obtained by applying a linear integral transformation to the angle of flight. The interest of this formulation is in the linearity of the integral transformation which allows us to derive new solutions from linear combinations of known lenses. Beside the review of the classical GRIN designs, we present a numerical method for GRIN lenses defined by the Abel integral equation with fixed limits, which is an ill-posed problem.

More information

Item ID: 20959
DC Identifier: http://oa.upm.es/20959/
OAI Identifier: oai:oa.upm.es:20959
Deposited by: Memoria Investigacion
Deposited on: 16 Oct 2013 16:30
Last Modified: 21 Apr 2016 11:04
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