The reflector problem and the inverse square law

DOI10.1016/j.na.2013.11.001zbMath1283.35136arXiv1305.7024OpenAlexW2949340212MaRDI QIDQ2436728

Cristian E. Gutiérrez, Ahmad Sabra

Publication date: 26 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods, Geometric Methods in PDE’s (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7024

zbMATH Keywords

inverse problemsgeometric opticsradiometryPDEs of Monge-Ampère typereflector and antenna designMonge-Ampere type equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Geometric optics (78A05) Parabolic Monge-Ampère equations (35K96) Monge-Ampère equations (35J96)

Related Items (5)

On the numerical solution of the far field refractor problem ⋮ The reflector problem and the inverse square law ⋮ Freeform lens design for scattering data with general radiant fields ⋮ Aspherical Lens Design and Imaging ⋮ Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations

Cites Work

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• The near field refractor
• Weak solutions of one inverse problem in geometric optics
• On the design of a reflector antenna. II
• The refractor problem with loss of energy
• The reflector problem and the inverse square law
• Determination of reflector surfaces from near-field scattering data
• On the design of a reflector antenna

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