254 citations · 3k across the 56 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
physics.optics2004★ 254 cited
Vortex knots in light
J. Leach, M. R. Dennis, J. Courtial +1
Optical vortices generically arise when optical beams are combined. Recently, we reported how several laser beams containing optical vortices could be combined to form optical vort…
math-ph2004★ 23 cited
Correlations between Maxwell's multipoles for gaussian random functions on the sphere
M. R. Dennis
Maxwell's multipoles are a natural geometric characterisation of real functions on the sphere (with fixed ). The correlations between multipoles for gaussian random functions…
math-ph2004★ 46 cited
Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere
M. R. Dennis
Any eigenfunction of the laplacian on the sphere is given in terms of a unique set of directions: these are Maxwell's multipoles, their existence and uniqueness being known as Sylv…