Abstract:In this work, it is theoretically and numerically demonstrated that an astigmatic transformation of a νth-order edge dislocation (shaped as a zero-intensity straight line) of a coherent light field – where ν = n+α is a real positive number, n is integer, and 0 < α < 1 is fractional – produces n optical elliptic vortices (screw dislocations) with topological charge –1, which are arranged on a straight line perpendicular to the edge dislocation and found at Tricomi function zeros. We also reveal that at a … Show more
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