To apply annular output beams emitted from an unstable resonator to a
multiple-pass cell (MPC) for Raman conversion, we studied the mode-mat
ching condition of non-Gaussian beams to a MPC using beam propagation
analysis based on Laguerre-Gaussian functions. During transits of the
MPC, the radial profile of an annular beam changes between annular and
Airy patterns. Although such behavior indicates that it is impossible
to achieve complete mode matching of an annular beam, we found a quas
i-mode-matching condition under which the variation of beam size was m
inimized. The above theoretical analysis was verified experimentally u
sing a CO2 laser beam prepared for a para-hydrogen Raman laser. (C) 19
97 Optical Society of America.