A two-order strong interaction matrix formalism is presented for analyzing acoustooptic beam-steering devices operated in the Bragg regime. Matrix solutions are compared with numerical solutions of the coupled differential equations, using ten orders. At the low frequency edge of the Bragg region (Qoverall ≃2π) the worst-case discrepancy is ~1 dB (20%). The accuracy, however, improves rapidly with frequency and transducer length so that, in most cases of practical interest, the matrix method is an acceptable and simple analytic alternative to the numerical solution of the system of coupled differential equations.
© 1983 Optical Society of America
R. J. Pieper and A. Korpel, "Matrix formalism for the analysis of acoustooptic beam steering," Appl. Opt. 22, 4073-4081 (1983)