A Fourier transform approach to acoustooptic interaction of curved, CW ultrasonic waves and optical beams with arbitrary profiles

Starting from the coupled wave equations for the scattered optical fields in the acoustooptic cell, a Fourier transform technique is used to express the interaction in the spatial frequency domain. The sound field is assumed to be a CW wave with curved wavefronts. Two coupled differential equations, which describe the interaction between the optical and sound fields in the Bragg regime, can be obtained. A well-known numerical technique, the Runge-Kutta method, was used to solve the equations. Detailed numerical simulations, comprising Fourier transforming the input light beam profile to calculate the spectra of the scattered light beams and their profiles in space using the inverse transform, are presented