Propagation of Airyprime beam in uniaxial crystal orthogonal to propagation axis

Received field expression of Airyprime beam in uniaxial crystal is derived analytically. Received field contains parabolic cylinder function which is a solution of Helmholtz euqtion in parabolic coordinates. Variations of intensity profile at the output plane is investigated considering source size, ratio of ordinary and extra-ordinary refractive indexes, and propagation length. It is seen that all selected beams take the shape of flat-topped beam. Beam having larger source size take its final shape at longer distance than smaller beams. Results of this study will be benefical for laser modulators, beam shaping, and laser applications.