Freeform aplanatic systems as a limiting case of SMS

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Abstract
We present here aplanatic systems in 3D geometry as a limiting case of a SMS 3D design. We extend the basic formulations governing rotationally symmetric aplanatic systems to freeform aplanatic systems and provide a formal proof that a SMS 3D design in the limiting case of 3 coincident points leads to a freeform aplanatic system.
Funding Information
  • European Commission (EC) (283798, 608082)
  • Spanish Ministry (IPT-2011-1212-920000, RTC-2014-2091-7, TEC2011-24019)
  • Universidad Politécnica de Madrid (UPM) (Q090935C59)

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