Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light

DOI10.1016/j.aam.2014.09.009zbMath1375.78003OpenAlexW2055486118MaRDI QIDQ472928

Jacob Rubinstein, Gershon Wolansky, Vladimir I. Oliker

Publication date: 20 November 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2014.09.009

zbMATH Keywords

lenses for transforming lightsupporting quadricsweak solutions of equations of Ampère type

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Geometric optics (78A05) Monge-Ampère equations (35J96)

Related Items (5)

On the classical solvability of near field reflector problems ⋮ Aspherical Lens Design and Imaging ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ An Iterative Least-Squares Method for Generated Jacobian Equations in Freeform Optical Design ⋮ 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
• Determination of reflector surfaces from near-field scattering data. II: Numerical solution
• A weighted least action principle for dispersive waves
• On the regularity of reflector antennas
• An optimal mass transport approach to the near-field reflector problem in optical design
• Determination of reflector surfaces from near-field scattering data
• Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
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