Abstract

The collection properties of generalized nonimaging radiation concentrators are studied for the case of geometrical optics. The second law of thermodynamics is applied to a concentrator located at the center of a cavity radiation source. It is shown that for three-dimensional concentrators the concentration C and the angular acceptance α(θ,ϕ) obey the relation l=Cθ=0π/2ϕ=02ππ1α(θ,ϕ)cosθsinθdθdϕ. For cylindrical concentrators, the concentration and angular acceptance α(θ) obey the relation l=Cπ/2π/2(1/2)α(θ)cosθdθ. These relationships are shown to reduce to those previously known for the special case of ideal concentrators.

© 1977 Optical Society of America

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