2013arXiv (Cornell University)Open access

The reflector problem and the inverse square law

Cristian E. Gutiérrez, Ahmad Sabra

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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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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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Available 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.

Key concepts: Inverse-square law, Square (algebra), Reflector (photography), Inverse, Inverse problem, Mathematics, Field (mathematics), Law

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