The maximum concentration of radiation is proportional to the square o
f the refractive index of the medium in which it propagates. A medium
with a high refractive index can also serve as a Lightguide for concen
trated radiation. However, if concentrated radiation is extracted from
one medium, with a high refractive index, to another, whose index is
lower (e.g., from fused silica into air), part of the radiation may be
lost because of the total internal reflection at the interface. We pr
esent polygonal shapes suitable for efficient extraction of the concen
trated radiation in a controllable way, without increasing the cross-s
ection area (or diameter) of the Lightguide. It is shown analytically
and experimentally that the use of a secondary concentrator, followed
by such a Light extractor, both having a high refractive index, can pr
ovide considerably more power to a solar receiver with a specific aper
ture. (C) 1997 Optical Society of America.