Singular trajectories: space-time domain topology of developing speckle fields

Vasiliy Vasil'ev; Marat S. Soskin

doi:10.1117/12.840386

8 February 2010 Singular trajectories: space-time domain topology of developing speckle fields

Vasiliy Vasil'ev, Marat S. Soskin

Proceedings Volume 7613, Complex Light and Optical Forces IV; 76130K (2010) https://doi.org/10.1117/12.840386
Event: SPIE OPTO, 2010, San Francisco, California, United States

Abstract

It is shown the space-time dynamics of optical singularities is fully described by singularities trajectories in space-time domain, or evolution of transverse coordinates(x, y) in some fixed plane z₀. The dynamics of generic developing speckle fields was realized experimentally by laser induced scattering in LiNbO₃:Fe photorefractive crystal. The space-time trajectories of singularities can be divided topologically on two classes with essentially different scenario and duration. Some of them (direct topological reactions) consist from nucleation of singularities pair at some (x, y, z₀, t) point, their movement and annihilation. They possess form of closed loops with relatively short time of existence. Another much more probable class of trajectories are chain topological reactions. Each of them consists from sequence of links, i.e. of singularities nucleation in various points (x_i y_i, t_i) and following annihilation of both singularities in other space-time points with alien singularities of opposite topological indices. Their topology and properties are established. Chain topological reactions can stop on the borders of a developing speckle field or go to infinity. Examples of measured both types of topological reactions for optical vortices (polarization C points) in scalar (elliptically polarized) natural developing speckle fields are presented.

Citation Download Citation

Vasiliy Vasil'ev and Marat S. Soskin "Singular trajectories: space-time domain topology of developing speckle fields", Proc. SPIE 7613, Complex Light and Optical Forces IV, 76130K (8 February 2010); https://doi.org/10.1117/12.840386

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