Collinear diffraction of Gaussian optical beams by an acoustic pulse

The peculiarities of collinear acousto-optical diffraction of Gaussian optical beams by an acoustic pulse of finite dimensions with an arbitrary temporal envelope is investigated theoretically. The system of two first-order equations that describe the Fourier spectra of transmitted and diffracted light beams and of an acoustic pulse which are propagating in the same direction is deduced. Linear frequency modulation of an acoustic pulse is considered. The filter transmission curves during the collinear diffraction by acoustic pulses with temporal envelopes described by Gaussian and sinc(x) functions is calculated. The dependence of the acousto-optical cell transmission bandwidth on both pulse and crystal length variation is studied.