The reflector problem and the inverse square law
Cristian E. Gutierrez, Ahmad Sabra
TL;DR
This paper presents a mathematical model for designing reflectors that incorporate the inverse square law of radiation, proving the existence of solutions for both near and far field scenarios with specified energy inputs and outputs.
Contribution
It introduces a new model for reflector design considering the inverse square law and proves the existence of solutions in various settings.
Findings
Existence of solutions in near and far field cases
Solutions accommodate prescribed input and output energies
Model advances reflector design theory
Abstract
We introduce a model to design reflectors that take into account the inverse square law for radiation. We prove existence of solutions, both in the near and far field cases, when the input and output energies are prescribed.
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Taxonomy
TopicsNumerical methods in inverse problems · Structural Analysis and Optimization · Differential Equations and Numerical Methods