منابع مشابه
Space-time focusing of Bessel-like pulses.
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A method is proposed for generating Bessel-like optical beams with arbitrary trajectories in free space. The method involves phase-modulating an optical wavefront so that conical bundles of rays are formed whose apexes write a continuous focal curve with pre-specified shape. These ray cones have circular bases on the input plane; thus their interference results in a Bessel-like transverse field...
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Bessel beams have been extensive studied to date but are always created over a finite region inside the laboratory. Means to overcome this consider multi-element refractive designs to create beams that have a longitudinal dependent cone angle, thereby allowing for a far greater quasi non-diffracting propagation region. Here we outline a generalized approach for the creation of shape-invariant B...
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We consider reflecting random walks on the nonnegative integers with drift of order 1/x at height x . We establish explicit asymptotics for various probabilities associated to such walks, including the distribution of the hitting time of 0 and first return time to 0, and the probability of being at a given height k at time n (uniformly in a large range of k.) In particular, for drift of form −δ...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2020
ISSN: 0378-4371
DOI: 10.1016/j.physa.2019.123119