Topological Charge of Optical Vortices

1. Topological charge of superposition of vortices. Conservation of topological charge. 2. Evolution of an optical vortex with an initial fractional topological charge. 3. Topological charge superposition of only two Laguerre-Gaussian or Bessel-Gaussian beams with different parameters. 4. Optical vortex beams with an infinite topological charge. 5. Transformation of an edge dislocation of a wavefront into an optical vortex. 6. Fourier-invariant and structurally stable optical vortex beams. 7. Topological charge of polarization singularities. 8. Conclusion.

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edge dislocation;topological charge stability;fractional topological charge;topological competition;laser beams;phase singularities;s?rew dislocation;singular optics;optical vortices;topological charge;Optical Vortex;TC;OAM;Gaussian Beam;Vortex Beam;Waist Radius;Intensity Null;LG Beam;Laguerre Gaussian Modes;Bessel Beam;Screw Dislocations;Bessel Gaussian Beams;Spp;Complex Amplitude;Fresnel Transform;Tricomi Function;Elliptic Gaussian Beams;Stokes Vector;Linear Polarization Vectors;Cylindrical Lens;Polarization Ellipse;Hermite Polynomial;Fresnel Zone;Back Focal Plane