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Optical Engineering

Computing the solid angle subtended by a planar figure
Author(s): John S. Asvestas; David C. Englund
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Paper Abstract

We propose a new way for computing the solid angle subtended by a planar figure. Our method uses a line-integral representation of the solid angle. The path of integration is the boundary of the planar figure. We use this formula to develop an exact expression for the solid angle subtended by a polygon. This expression is simple and easy to compute. For any other shape, we first convert it to a polygonal one and then use the formula for a polygon. We validate our approach by computing the solid angle subtended by circles and ellipses.

Paper Details

Date Published: 1 December 1994
PDF: 5 pages
Opt. Eng. 33(12) doi: 10.1117/12.183402
Published in: Optical Engineering Volume 33, Issue 12
Show Author Affiliations
John S. Asvestas
David C. Englund, Grumman Corporate Research Ctr. (United States)

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