Vortex-lattice wave fields

I. Dana, I. Freund

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Vortex-lattice wave fields (VLWs), with arbitrary vorticity N per unit cell, are introduced into Fourier optics. Expressions for nondiffracting VLWs, with pre-determined vortex positions in the unit cell, are given. Provided a special phase factor is associated with the VLW, the corresponding source distribution turns out to be a quasiperiodic function of vorticity N or - N. A general solution to the problem of self-Fourier VLWs, in particular, rotationally symmetric VLWs, is obtained. As a result of the rapid phase oscillations of a VLW, its autocorrelation function is usually a 2D Dirac comb modulated by a decaying envelope function.

Original languageEnglish
Pages (from-to)93-113
Number of pages21
JournalOptics Communications
Issue number1-2
StatePublished - 1 Mar 1997


Dive into the research topics of 'Vortex-lattice wave fields'. Together they form a unique fingerprint.

Cite this