4.6 Article

Three surface freeform aplanatic systems

Journal

OPTICS EXPRESS
Volume 25, Issue 10, Pages 10710-10715

Publisher

OPTICAL SOC AMER
DOI: 10.1364/OE.25.010710

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Funding

  1. European Commission [ADOPSYS: FP7-PEOPLE-2013-ITN 608082]
  2. Spanish Ministries [OPTIVAR: TEC2014-56867-R, GUAKS: RTC-2014-2091-7, SHIVA: RTC-2016-5295-7]
  3. UPM [Q090935C59]

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We address, in detail, the system of differential equations determining a freeform aplanatic system with illustrative examples. We also demonstrate how two optical surfaces, in general, are insufficient in achieving freeform aplanatism through the use of integrability condition for a given reflective freeform aplanatic configuration. This result also alludes to the fact that a freeform aplanatic system fulfills a broader set of conditions than its rotationally symmetric counterpart. We also elaborate on the above results with two illustrative examples (1) A semi aplanatic system which satisfies the generalized sine condition in only one direction and (2) A fully freeform aplanatic reflective system. (C) 2017 Optical Society of America

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