Abstract

Light fields propagating along curved trajectories, namely accelerating beams, can be constructed by designing wave-front properly in free space. One of practical and effective approaches to design accelerating beams is based on caustic method, which connects the desired trajectories with an optical caustics, the envelope of a family of light rays. In recent years, this method has been widely applied to generate various two-dimensional convex and nonconvex caustic beams in paraxial and nonparaxial regimes [1-3]. but it also has certain constraints in constructing different types of accelerating beams [4], Recently, it is found that the design of accelerating beams in phase space is more informative and also enables construction of some three-dimensional accelerating beams [5], However, the proposed Wigner distribution function (WDF) method [5] is still limited to the paraxial case in constructing accelerating beams.

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