Intensity convolutions of CARS spectra

A derivation of the convolution integral for finite bandwidth pump and Stokes sources in CARS is given. The resulting “partially coherent” convolution confirms previously published results, and is compared to the widely used incoherent treatment. The effect of intensity convolution choice on multiplex CARS thermometry is evaluated by reducing N₂ data taken in an ethylene-air diffusion flame. N₂ CARS thermometry using multimode pumps is ordinarily not very sensitive to convolution.