Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime

DOI10.1088/0305-4470/34/42/311zbMath0997.35097OpenAlexW1987537061MaRDI QIDQ4533516

M. V. Berry, Mark Dennis

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/42/311

zbMATH Keywords

singularitiesvorticesexact solutionsHelmholtz equationwave equationspolynomial waves

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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