Point source regularization of the finite source reflector problem

DOI10.1016/j.jcp.2022.111032OpenAlexW3200325147MaRDI QIDQ2133797

Jean-David Benamou, Giorgi Rukhaia, Guillaume Chazareix, Wilbert L. Ijzerman

Publication date: 5 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-03344571

zbMATH Keywords

optimal transportationnon-linear optimizationinverse reflector problem

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx) General topics in optics and electromagnetic theory (78Axx)

Uses Software

• Adam

Cites Work

• Far-field reflector problem and intersection of paraboloids
• Regularity of optimal maps on the sphere: the quadratic cost and the reflector antenna
• An entropic optimal transport numerical approach to the reflector problem
• Stability of a 4th-order curvature condition arising in optimal transport theory
• Computational algorithms for constructing reflectors
• On the design of a reflector antenna. II
• Inverse reflector design for a point source and far-field target
• The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• On the design of a reflector antenna
• Modern regularization methods for inverse problems

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