Modeling and researching of propagation of Airy and Pearcey beams

In given paper we present research of propagation of accelerating Airy and Pearcey beams and their both symmetric and asymmetric modifications. Modeling of propagation was performed with Fourier and Fresnel transformations. Mostly paper is dedicated to research of affect of parameters of input spectrum on beams non-difractial properties. Also we show an influence of characteristics of input field on formed beams properties and dependence of potential propagation distance and acceleration on focal length, given fields sizes and optical parameters.