Astigmatic transformation of Bessel beams in a uniaxial crystal

We investigate theoretically and experimentally the astigmatic transformations of Bessel beams at propagation perpendicularly to the c-axis of a uniaxial crystal. The analogy between this transformation and the astigmatic distortion of the plane wave by an inclined axicon is analytically shown. The influence of the polarization direction of radiation relative to the c-axis of a crystal on electric field components of the ordinary and the extraordinary beams is investigated.