Numerically solving generated Jacobian equations in freeform optical design

  • Romijn L
  • Anthonissen M
  • ten Thije Boonkkamp J
  • et al.
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Abstract

We present an efficient numerical algorithm that can be used to solve the generalized Monge-Ampère equations for a single freeform reflector and lens surface. These equations are instances of so-called ‘generated Jacobian equations’ which are characterized by associated generating functions. The algorithm has a wide applicability to any optical system that can be described by a smooth generating function.

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Romijn, L. B., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M., & IJzerman, W. L. (2020). Numerically solving generated Jacobian equations in freeform optical design. EPJ Web of Conferences, 238, 02001. https://doi.org/10.1051/epjconf/202023802001

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