Collection properties of generalized light concentrators*

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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, ø) obey the relation 1 = C ∫θπ/2 = 0 ∫ø2π = 0π-1α(θ,ø)cosθsinθ dθdø. For cylindrical concentrators, the concentration and angular acceptance α(θ) obey the relation 1 = C ∫-π/2-π/2(½)α(θ)cosθdθ. These relationships are shown to reduce to those previously known for the special case of ideal concentrators.

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