Convex Solutions to the Virtual Source Reflector Problem

2023/01/05 by Dylanger Pittman, Pittman, Dylanger
Mathematics · Physics and Astronomy · Computer Science · #Numerical methods in inverse problems #Electromagnetic Scattering and Analysis #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2301.02106

Abstract

We greatly expand upon the results of Kochengin, Oliker and Tempeski [S. Kochengin, V. Oliker, O. von Tempeski, On the design of reflectors with prescribed distribution of virtual sources and intensities, Inverse Problems 14 (1998) 661-678.] to include results for uniqueness in the general case. We also include results for existence in the rotationally symmetric case and the case where the target set is sufficiently small.

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