Formalism of operators for Laguerre-Gauss modes
A. L. F. da Silva, A. T. B. Celeste, M. Pazetti, C. E. F. Lopes
TL;DR
This paper applies quantum mechanical operator algebra to the Helmholtz wave equation to develop a formalism for raising and lowering operators of Laguerre-Gauss modes, enhancing understanding of their mathematical structure.
Contribution
It introduces a novel formalism using quantum operators to describe Laguerre-Gauss modes within the Helmholtz equation framework.
Findings
Operators successfully describe mode transitions
Mathematical formalism aligns with quantum mechanics principles
Potential applications in optical mode manipulation
Abstract
In this work apply the algebra of operators of quantum mechanics in the Helmholtz wave equation in cylindrical coordinates in paraxial approximation to describe the raising and lowering operators for the Laguerre-Gauss modes.
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Taxonomy
TopicsOrbital Angular Momentum in Optics · Mechanical and Optical Resonators · Quantum and Classical Electrodynamics