A general expression is obtained for the exact computation of the frin
ge field in the intersection volume of two paraxial Gaussian beams for
arbitrary beam waist positions and sizes. The expression is then simp
lified to allow easy fringe field computation while retaining good acc
uracy. By relating the simplified expression to the system parameters
relevant to dual-beam laser Doppler velocimeters, simple design equati
ons are obtained. These equations permit rapid evaluation of the fring
e field variation along the major and minor axes of the intersection v
olume and clearly identify the system parameters controlling this vari
ation. (C) 1996 Optical Society of America