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Reflective Optics for Obtaining Prescribed Irradiative Distributions from Collimated Sources

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Abstract

The differential equations are derived for reflective optical surfaces in systems that give prescribed spatial irradiation from collimated sources. The equations are derived for axisymmetric configurations assuming specular reflective surfaces. The formulation considers general source radiant emittance distributions, general receiver shapes, and receiver irradiation distributions. The formulation of the differential equations is effected through the vector formulation of ray-trace equations for the systems, formulation of differential radiant energy balance equations, and appropriate differentiation of the ray-trace equations. The differential equations are derived for two configurations.

© 1974 Optical Society of America

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