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Freeform geometrical optics I: Principles

Applied Optics
  • Juan Valencia-Estrada and Jorge Garcia-Marquez
  • received 07/12/2019; accepted 09/30/2019; posted 10/01/2019; Doc. ID 372408
  • Abstract: Lens design uses a calculation of the lens’ surfaces that permit to obtain an imagefrom a given object. A set of general rules and laws permits to calculate the essential pointsof the optical system such as distances, thickness, pupils, and focal distance among others.Now, the theory on which the classical lens design is based changes radically as ourtheoretical foundations do not rely on the classical ray tracing rules. We show that with therules expressed in a reduced vector analytical solution set of equations, we can take intoaccount all optical elements, i.e. refractive, reflective, catadioptric. These foundationspermit to keep under control the system aberration budget in every surface. It reduces thecomputation time dramatically. The examples presented here were possible because of theversatility of this theoretical approach.
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