Wave-packets of light propagating along curved trajectories in space are rapidly gaining importance since their introduction in 2007 [1-2]. Interestingly, all such "non-diffracting self-accelerating" beams studied thus far followed a parabolic trajectory as they propagated in free space [1-5]. Here we generate continuous sets of accelerating optical beams propagating along arbitrary 1D curves in space, with the only condition being that the curves are convex. We present a general method to construct such beams, and demonstrate them theoretically and experimentally. As examples, we present theoretically and experimentally light beams whose peak intensity accelerates along the curves x = zn, with n = 1.5, 2, 3, 4, 5, and an 'Exponential Beam' which follows the curve x = (ekz − 1), k being some positive constant. Such beams are presented in Figure (1a−1b) below.

© 2011 IEEE

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