Higher-order extreme in two-dimensional wave fields

被引：9

作者：

Freund, I ^{[1
]}

Belenkiy, A

机构：

[1] Bar Ilan Univ, Jack & Pearl Resnick Adv Technol Inst, IL-52900 Ramat Gan, Israel

[2] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2000年 / 17卷 / 03期

关键词：

D O I：

10.1364/JOSAA.17.000434

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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. (C) 2000 Optical Society of America [S0740-3232(00)02703-4].

引用

页码：434 / 446

页数：13

共 40 条

[1]

Abramovitz M., 1964, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables

[2]

ABROMOCHKIN E, 1996, OPT COMMUN, V125, P302

[3]

[Anonymous], 1990, MODERN GEOMETRY ME 3

[4]

ARNOLD VI, 1973, ORDINARY DIFFERENTIA, P254

[5]

BAZHENOV VY, 1990, JETP LETT+, V52, P429

[6] HELICAL-WAVE-FRONT LASER-BEAMS PRODUCED WITH A SPIRAL PHASEPLATE [J].

BEIJERSBERGEN, MW ;

COERWINKEL, RPC ;

KRISTENSEN, M ;

WOERDMAN, JP .

OPTICS COMMUNICATIONS, 1994, 112 (5-6) :321-327

[7]

BERRY M, 1981, PHYSICS DEFECTS, P453

[8]

Berry M. V., 1980, PROGR OPTICS, V18, P257, DOI [DOI 10.1016/S0079-6638(08)70215-4, 10.1016/S0079-6638(08)70215-4]

[9]

Berry M.V., 1994, QUANTUM COHERENCE RE, P55

[10]

Berry MV, 1998, J MOD OPTIC, V45, P1845, DOI 10.1080/09500349808231706

← 1 2 3 4 →