Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Mathematical Modeling of the Solid Angle Function, Part II: Transmission Through Refractive Media
Authors

P. Olivier
S. Rioux
D. Gagnon
Journal / Anthology

Optical Engineering
Year: 1993
Volume: 32
Issue: 9
Page range: 2266-2270
Description

Previously, we developed a classical solid angle function that is valid only when the light is traveling within a homogeneous medium. As soon as the light path contains a refractive interface, the direct solid angle formula is invalid. A different approach must be used if one is to include refraction effects in the solid angle formulation. The variables of integration are given more of a physical interpretation than a geometrical one: by using the emitting point instead of the detection aperture as the basis for the coordinates system, we are thus able to obtain an expression for the solid angle subtended by a circular aperture from a point source situated in a different optical medium. The final refracted solid angle formula also includes the expression of Fresnel's transmission coefficient. Key words: solid angle; refraction; integration; Fresnel's coefficients
Subject

*Science > Physics > Optics