Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport

DOI10.1007/s00205-011-0419-xzbMath1256.35152OpenAlexW1971372979MaRDI QIDQ715311

Vladimir I. Oliker

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-011-0419-x

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Physical optics (78A10)

Related Items (7)

A least-squares method for the inverse reflector problem in arbitrary orthogonal coordinates ⋮ Iterative scheme for solving optimal transportation problems arising in reflector design ⋮ Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light ⋮ Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ A Monge-Ampère problem with non-quadratic cost function to compute freeform lens surfaces ⋮ Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations

Cites Work

• Weak solutions of one inverse problem in geometric optics
• Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport
• On the numerical solution of the equation \(\frac{\partial ^ 2z\partial ^ 2z}{\partial x^ 2\partial y^ 2}-(\frac{\partial ^ 2z}{\partial x\partial y})^ 2=f\) and its discretizations. I
• A weighted least action principle for dispersive waves
• Finite Möbius-planes admitting a Zassenhaus group as group of automorphisms
• Convex Analysis
• Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
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