Phase singularities in isotropic random waves
From MaRDI portal
Publication:2705587
DOI10.1098/rspa.2000.0602zbMath0978.35072OpenAlexW2100764053MaRDI QIDQ2705587
Publication date: 25 March 2001
Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://eprints.soton.ac.uk/29374/1/PA456_2059.pdf
PDEs in connection with optics and electromagnetic theory (35Q60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Waves and radiation in optics and electromagnetic theory (78A40)
Related Items
Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge ⋮ Monochromaticity of orientation maps in V1 implies minimum variance for hypercolumn size ⋮ Orientation maps in V1 and non-Euclidean geometry ⋮ Making light of mathematics ⋮ Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices ⋮ On 3-dimensional Berry's model ⋮ Nonlinear evolution of Benjamin-Bona-Mahony wave packet due to an instability of a pair of modulations ⋮ A central limit theorem for Lipschitz-Killing curvatures of Gaussian excursions ⋮ Probability distribution for the Gaussian curvature of the zero level surface of a random function ⋮ Characterization of anisotropic Gaussian random fields by Minkowski tensors ⋮ Invariant Gaussian fields on homogeneous spaces: explicit constructions and mean nodal volume ⋮ Landmarks for Neurogeometry ⋮ Remarks on Invariance in the Primary Visual Systems of Mammals ⋮ Superoscillations and the quantum potential * ⋮ Gauge-invariant Aharonov–Bohm streamlines ⋮ A Gaussian inequality for expected absolute products ⋮ Rice formulae and Gaussian waves ⋮ Stochastic electromagnetic vortex beam and its propagation ⋮ Universal statistics of vortex tangles in three-dimensional random waves ⋮ Unnamed Item ⋮ Level curves crossings and applications for Gaussian models ⋮ On the quantum core of an optical vortex ⋮ The constitution of visual perceptual units in the functional architecture of V1 ⋮ SPECKLE STATISTICS IN THE PHOTON LOCALIZATION TRANSITION ⋮ Discreteness and its effect on water-wave turbulence ⋮ Wave function statistics for mesoscopic transport through chaotic open billiards: Time reversibility, space reciprocity breaking and statistical crossover ⋮ Unnamed Item ⋮ Nodal Structures of Wave Functions in Chaotic Billiards ⋮ Phase singularities in complex arithmetic random waves ⋮ Giant fluctuations of topological charge in a disordered wave guide ⋮ No general relation between phase vortices and orbital angular momentum ⋮ Vortex reconnection rate, and loop birth rate, for a random wavefield ⋮ Superoscillations: a scale physics perspective ⋮ A random wave model for the Aharonov–Bohm effect
