Capillary-fiber optics have been shown to be a useful technique for gu
iding and focusing both X-rays and neutrons by means of multiple refle
ction in hollow glass tubes and the principles of X-ray and neutron le
nses have been demonstrated. An optimum condition is derived for such
a device. The focal length L of the focusing lens, the average critica
l angle theta(c)BAR, of the material of the fibers and the radius R of
the fibers that comprise the lens are related by the simple equation
L = xR/theta(c)BAR, where the factor x depends on the particular optim
ization required and the source of radiation used. The value of theta(
c)BAR depends on the spectrum of the radiation transmitted by the lens
.