Abstract
A general approach to the theory of light scattering by surface acoustic waves on reflection from and transmission through a surface is described. The appropriate polarization‐driven‐wave equation is solved exactly, and total solutions are found which also satisfy all the electromagnetic boundary conditions across the acoustically corrugated interface. This formalism is vectorial in character and is valid for all scattering angles. The scattering of both ’’s’’‐ and ’’p’’‐polarized incident light is treated analytically and numerically for Rayleigh waves on an isotropic medium (fused quartz) and YZ lithium niobate and for Bleustein‐Gulyaev waves on YX cadmium sulphide. The results deviate significantly from the predictions of previous scalar theories for scattering angles greater than a few degrees.