High intensity laser stimulation induces stress in dye-doped photomechanical elastomers, causing a length change. Using principles of nonlinear optics and continuum mechanics, we develop a theoretical model quantifying how these elastomers react to laser stimulation. The model evaluates the quality of the response using a photomechanical coefficient, such that a larger coefficient means a larger stress, and hence a more highly photoresponsive material. We are able to determine the photoresponsiveness as a function of pre-strain, laser intensity, strain his- tory, and other properties. Furthermore, we test our model with various types of elastomers, as well as different dyes and doping agents.