Laguerre–Gaussian Wave Propagation in Parabolic Media

DOI10.1007/978-3-030-53305-2_8zbMath1479.35839arXiv2001.03456OpenAlexW3000405090MaRDI QIDQ5152768

P. Jiménez-MacÍas, Z. Gress, S. Crus y Cruz, Oscar Rosas-Ortiz

Publication date: 27 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03456

zbMATH Keywords

paraxial wave equationLaguerre-Gaussian modesnonlinear Ermakov equationself-focusing of lightangular momentum of light

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

• Group approach to the paraxial propagation of Hermite-Gaussian modes in a parabolic medium
• On the geometry of spatial biphoton correlation in spontaneous parametric down conversion
• New supersymmetry-generated complex potentials with real spectra
• Generalized coherent states for time-dependent and nonlinear Hamiltonian operators via complex Riccati equations
• Hermite Coherent States for Quadratic Refractive Index Optical Media
• On ‘Orbital’ and ‘Spin’ Angular Momentum of Light in Classical and Quantum Theories – A General Framework

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