The collinear acousto-optical filtration of polychromatic Bessel light beams in uniaxial crystals

The collinear acousto-optic filtration of quasi-nondiffracting Bessel light beams of $o$- and $e$-types in uniaxial crystals has been investigated. Using the method of overlap integrals the expression for the diffraction efficiency depending on the parameters of acoustooptical interacting of Bessel beams and the value of overlap integral is founded. It is shown that for zero order Bessel light beams in the transversal phase-matching conditions of the diffracted waves in the range of optical spectrum of $0,4$–$0,7\mu$m for lithium niobate crystals the transmission bandwidth of $\sim0,2$ nm is reached; with evaluation of Bessel beam order of $m \geq 1$ the bandwidth of transmission is not so significantly big, than $\sim0,23$–$0,24$ nm.