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 $\text{l}=C{\mathit{\int }}_{\theta =0}^{\pi /2}{\mathit{\int }}_{\varphi =0}^{2\pi }{\pi }^{-1}\alpha (\theta ,\varphi )cos\theta sin\theta d\theta d\varphi$. For cylindrical concentrators, the concentration and angular acceptance α(θ) obey the relation $\text{l}=C{\mathit{\int }}_{-\pi /2}^{\pi /2}(1/2)\alpha (\theta )cos\theta d\theta$. 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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