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Updated: Jun 29, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Vortex-antivortex dynamics and interactions of laser beams generated by second harmonic generation during astigmatic
Abstract:
We numerically analyze the mode decompositions of second-harmonic Hermite-Gaussian beams to enhance understanding of their propagation characteristics. A robust theoretical model is developed to investigate phase transitions in transformed second-harmonic Hermite-Gaussian modes, driven by the rotation of an astigmatic mode converter. These transitions critically influence vortex-antivortex (V-AV) dynamics and interactions, including approach, annihilation, creation and repulsion processes. Our analysis reveals that the total topological charge remains conserved, despite intensity variations, phase changes, and V-AV interactions. Experimental validation, conducted using a solid-state laser with intracavity second-harmonic generation, demonstrates excellent agreement with theoretical predictions.
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