Freeform lens design for scattering data with general radiant fields

DOI10.1007/s00205-017-1196-yzbMath1393.78002OpenAlexW2768433522WikidataQ59610190 ScholiaQ59610190MaRDI QIDQ1745398

Ahmad Sabra, Cristian E. Gutiérrez

Publication date: 17 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00205-017-1196-y

zbMATH Keywords

Monge-Ampère equationAleksandrov solutionsfreeform lens designplanar source

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Geometric optics (78A05) Monge-Ampère equations (35J96) PDEs with measure (35R06)

Related Items (6)

Chromatic aberration in metalenses ⋮ On the existence of dichromatic single element lenses ⋮ Refractor surfaces determined by near-field data ⋮ Aspherical Lens Design and Imaging ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ Metasurfaces and optimal transport

Cites Work

• Unnamed Item
• \(C^{1, \alpha}\) estimates for the parallel refractor
• On the local theory of prescribed Jacobian equations
• The near field refractor
• Regularity for the near field parallel refractor and reflector problems
• The refractor problem in reshaping light beams
• On the reflector shape design
• Optimal design of an optical lens
• The refractor problem with loss of energy
• On the numerical solution of the far field refractor problem
• The reflector problem and the inverse square law
• Local near field refractors and reflectors
• An Inverse Problem for the Refractive Surfaces with Parallel Lighting
• Aspherical Lens Design and Imaging
• Determination of reflector surfaces from near-field scattering data
• On the design of a reflector antenna
• The Parallel Refractor
• Geometrical optics and blackbody radiation
• The Monge-Ampère equation

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