The design of integrating cavity absorption meters of general geometry is a
nalyzed for cases in which the incident illumination of the cavity is spati
ally uniform and isotropic, such as the meter of Fry et al. [Appl. Opt. 31,
2055 (1992)]. The analysis by Kirk [Appl. Opt. 34, 4397 (1995)] for the pr
obability of photon survival in a spherical meter is extended to general ge
ometries. An estimate of the effect of the shape of the cavity on the estim
ated absorption coefficient is given. (C) 1999 Optical Society of America.