Structurally stable singular wavefields

Eugeny G. Abramochkin; Vladimir G. Volostnikov

doi:10.1117/12.317710

3 August 1998 Structurally stable singular wavefields

Eugeny G. Abramochkin, Vladimir G. Volostnikov

Proceedings Volume 3487, International Conference on Singular Optics; (1998) https://doi.org/10.1117/12.317710
Event: International Conference on Singular Optics, 1997, Partenit, Crimea, Ukraine

Abstract

It is known that Laguerre-Gauss beams with indices n equals 0 and nonzero m have a single phase singularity of order m and the intensity shaped as a circumference. In this work a generalization of these beams is proposed, namely, for any closed curve on the plane there exists a family of singular beams depending on a pair of integer-valued parameters, any member of which is structurally stable under propagation and focusing. In particular, when the curve is a circumference Laguerre-Gauss modes and parameters n,m are obtained.

Citation Download Citation

Eugeny G. Abramochkin and Vladimir G. Volostnikov "Structurally stable singular wavefields", Proc. SPIE 3487, International Conference on Singular Optics, (3 August 1998); https://doi.org/10.1117/12.317710

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