Perfect imaging of three object points with only two analytic lens surfaces in two dimensions

Duerr, Fabian and Benitez Gimenez, Pablo and Miñano Dominguez, Juan Carlos and Meuret, Youri and Thienpont, Hugo (2012). Perfect imaging of three object points with only two analytic lens surfaces in two dimensions. In: "Proc. SPIE 8429, Optical Modelling and Design II 842908", 16/04/2012 - 19/04/2012, Bruselas, Belgica. pp. 8429081-84290809. https://doi.org/10.1117/12.922089.

Description

Title: Perfect imaging of three object points with only two analytic lens surfaces in two dimensions
Author/s:
  • Duerr, Fabian
  • Benitez Gimenez, Pablo
  • Miñano Dominguez, Juan Carlos
  • Meuret, Youri
  • Thienpont, Hugo
Item Type: Presentation at Congress or Conference (Article)
Event Title: Proc. SPIE 8429, Optical Modelling and Design II 842908
Event Dates: 16/04/2012 - 19/04/2012
Event Location: Bruselas, Belgica
Title of Book: Proceedings of SPIE
Date: June 2012
Volume: 8429
Subjects:
Freetext Keywords: Lenses ; Optical systems ; Differential equations ; Ray tracing ; Optical design
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Electrónica Física
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this work, a new two-dimensional analytic optics design method is presented that enables the coupling of three ray sets with two lens profiles. This method is particularly promising for optical systems designed for wide field of view and with clearly separated optical surfaces. However, this coupling can only be achieved if different ray sets will use different portions of the second lens profile. Based on a very basic example of a single thick lens, the Simultaneous Multiple Surfaces design method in two dimensions (SMS2D) will help to provide a better understanding of the practical implications on the design process by an increased lens thickness and a wider field of view. Fermat?s principle is used to deduce a set of functional differential equations fully describing the entire optical system. The transformation of these functional differential equations into an algebraic linear system of equations allows the successive calculation of the Taylor series coefficients up to an arbitrary order. The evaluation of the solution space reveals the wide range of possible lens configurations covered by this analytic design method. Ray tracing analysis for calculated 20th order Taylor polynomials demonstrate excellent performance and the versatility of this new analytical optics design concept.

More information

Item ID: 19701
DC Identifier: http://oa.upm.es/19701/
OAI Identifier: oai:oa.upm.es:19701
DOI: 10.1117/12.922089
Official URL: http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1316112
Deposited by: Memoria Investigacion
Deposited on: 15 Sep 2013 11:17
Last Modified: 21 Apr 2016 20:54
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