Phase singularities in isotropic random waves

By Michael V. Berry, Michael Robert Dennis. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2000

314 citations recorded by the source corpus.

Subfields: Acoustics and Ultrasonics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e1b5d89b1d4815a4aae2398d20da7d8e17e7afa2

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Citations in the corpus

Theory and applications of free-electron vortex states (2017, background): “nature, are pierced by numerous vortices [23, 24] (see Fig.”
Vortex knots in light (2004, background): “An arbitrary light field, such as a space-filling speckle pattern, contains many optical vortex lines in a complicated arrangement [ 14 ].”
Knotted and linked phase singularities in monochromatic waves (2001, unknown): “In a Gaussian random wave field with prescribed power spectrum, what fraction of the points where dislocations pierce any two-dimensional section corresponds to dislocation lines that are part of a knot? This is a difficult problem in statistical geometry, but techniques exist ( Berry & Dennis 2000 ”
Orbital angular momentum: origins, behavior and applications (2011, background): “As discussed, they were identified for the acoustic case in the random scatter from a rough surface [15,28], and optical waves are no different.”
Polarization singularities in isotropic random vector waves (2001, methodology): “Integrating ¯ ( ¹ ) ¯ ( ² ) over a volume, including the appropriate Jacobian, and averaging (see Berry & Dennis (2000) for several examples of this procedure), we obtain, for the mean length of C line per unit volume, dC = h ¯ ( ¹ ) ¯ ( ² )jr ¹ £ r ² ji: (5.1) The required averages involve the…”