Abstract

Expressions are derived giving the relative amount of pumping radiation transferred from a cylindrical source to a cylindrical laser by means of a reflector in the shape of an elliptical cylinder. The general expression depends upon the radii of the source and laser, the eccentricity of the ellipse and the length of its semimajor axis, and an arbitrary angular distribution of source radiation. The effect of radiation reflected back into the source itself (source-blocking) is also considered. A very considerable simplification in the calculation results when the source distribution is invariant under a rotation of the source about its axis, i.e., when the distribution depends only on the direction of the radiation with respect to the local normal, thus corresponding to virtually all practical cases. Moreover, the special case of a Lambertian source distribution yields efficiencies which may be evaluated directly. Especially simple and illustrative is the Lambertian source which is sufficiently small compared to the reflector that source-blocking can be ignored.

© 1963 Optical Society of America

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