Dynamic evolution of an edge dislocation through aligned and misaligned paraxial optical ABCD systems

Area of Science:

• Optics and Photonics
• Beam Propagation
• Vortex Optics

Background:

• Edge dislocations are significant features in optical beams, influencing their propagation dynamics.
• Gaussian beams, particularly elliptical ones, are fundamental in optical systems.
• Understanding beam propagation through paraxial optical systems (ABCD systems) is crucial for optical design.

Purpose of the Study:

• To derive closed-form propagation expressions for edge dislocations within elliptical Gaussian beams.
• To investigate the dynamic evolution of these dislocations in free space and through misaligned optical systems.
• To analyze the emergence of noncanonical vortices and topological charge inversion.

Main Methods:

• Derivation of analytical closed-form propagation expressions.
• Simulation of beam propagation through aligned and misaligned paraxial optical ABCD systems.
• Analytical and numerical illustrations of dislocation behavior.

Main Results:

• Demonstrated the dynamic evolution of edge dislocations in elliptical Gaussian beams.
• Observed the appearance of noncanonical vortices and dynamic inversion of topological charge under specific conditions.
• Identified the potential for the formation of new edge dislocations during propagation.

Conclusions:

• The study provides a theoretical framework for understanding edge dislocation dynamics in complex optical systems.
• Noncanonical vortex formation and topological charge inversion are significant phenomena that can occur.
• The findings are relevant for the manipulation and control of optical beams with dislocations.