Complementarity property of the ultrasonic lightdiffraction spectra

Abstract

On the basis of the normal mode theory using Mathieu functions it is pointed out by analytical and computational means, that there exists a “complementarity relation” between two definite order spectra under common incidence angle. The O-order makes complementarity pair with the Bragg order (-n^B order). The k-th order makes complementarity pair with the-(n^B+k) th order, where-(n^B/2)<k<∞. The spectra making complementarity pair are associated in the meaning that the higher maximum of one of the components corresponds very low intensity of the other. Lower maximum, however, may occur at the same time for both spectra.