TY - JOUR
T1 - Vortex-lattice wave fields
AU - Dana, I.
AU - Freund, I.
PY - 1997/3/1
Y1 - 1997/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031104008&partnerID=8YFLogxK
U2 - 10.1016/S0030-4018(96)00581-0
DO - 10.1016/S0030-4018(96)00581-0
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AN - SCOPUS:0031104008
SN - 0030-4018
VL - 136
SP - 93
EP - 113
JO - Optics Communications
JF - Optics Communications
IS - 1-2
ER -