TY - JOUR
T1 - Higher-order extrema in two-dimensional wave fields
AU - Freund, Isaac
AU - Belenkiy, Ari
PY - 2000/3
Y1 - 2000/3
N2 - Higher-order extrema with topological indices greater than unity are discussed. Explicit constructions are given for their wave functions, and simple geometric rules are presented for analysis of their topological indices. Experimental means for verifying the theory with use of Gaussian laser beams are considered, unusual properties of optical vortices contructed from this new type of critical point are described, and applications to topologically based optical arithmetic are suggested.
AB - Higher-order extrema with topological indices greater than unity are discussed. Explicit constructions are given for their wave functions, and simple geometric rules are presented for analysis of their topological indices. Experimental means for verifying the theory with use of Gaussian laser beams are considered, unusual properties of optical vortices contructed from this new type of critical point are described, and applications to topologically based optical arithmetic are suggested.
UR - http://www.scopus.com/inward/record.url?scp=0034145669&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.17.000434
DO - 10.1364/JOSAA.17.000434
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C2 - 10708023
AN - SCOPUS:0034145669
SN - 1084-7529
VL - 17
SP - 434
EP - 446
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 3
ER -