Devil's vortex-lenses

被引：65
作者：
Furlan, Walter D. [1 ]
Gimenez, Fernando [2 ]
Calatayud, Arnau [3 ]
Monsoriu, Juan A. [3 ]
机构：
[1] Univ Valencia, Dept Opt, E-46100 Burjassot, Spain
[2] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, E-46022 Valencia, Spain
[3] Univ Politecn Valencia, Ctr Tecnol Fis, E-46022 Valencia, Spain
来源：
OPTICS EXPRESS | 2009年 / 17卷 / 24期
关键词：
FRACTAL ZONE PLATES; PHASE SINGULARITIES; VARIABLE LACUNARITY; FOCUSING PROPERTIES; LIQUID-CRYSTAL;
D O I：
10.1364/OE.17.021891
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper we present a new kind of vortex lenses in which the radial phase distribution is characterized by the "devil's staircase" function. The focusing properties of these fractal DOEs coined Devil's vortex-lenses are analytically studied and the influence of the topological charge is investigated. It is shown that under monochromatic illumination a vortex devil's lens give rise a focal volume containing a delimited chain of vortices that are axially distributed according to the self-similarity of the lens. (C) 2009 Optical Society of America
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收藏
页码：21891 / 21896
页数：6
相关论文
共 19 条
[1]   A CHARACTERIZATION OF THE CANTOR FUNCTION [J].
CHALICE, DR .
AMERICAN MATHEMATICAL MONTHLY, 1991, 98 (03) :255-258
[2]   Devil's staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces [J].
Chen, Y. F. ;
Lu, T. H. ;
Su, K. W. ;
Huang, K. F. .
PHYSICAL REVIEW LETTERS, 2006, 96 (21)
[3]   Optical processing with vortex-producing lenses [J].
Crabtree, K ;
Davis, JA ;
Moreno, I .
APPLIED OPTICS, 2004, 43 (06) :1360-1367
[4]  
Dai HT, 2005, CHINESE PHYS LETT, V22, P2851, DOI 10.1088/0256-307X/22/11/035
[5]   Focusing properties of fractal zone plates:: experimental implementation with a liquid-crystal display [J].
Davis, JA ;
Ramirez, L ;
Martín-Romo, JAR ;
Alieva, T ;
Calvo, ML .
OPTICS LETTERS, 2004, 29 (12) :1321-1323
[6]   Direct observation of a "devil's staircase" in wave-particle interaction [J].
Doveil, Fabrice ;
Macor, Alessandro ;
Elskens, Yves .
CHAOS, 2006, 16 (03)
[7]   Phase singularities and coherence vortices in linear optical systems [J].
Gbur, G ;
Visser, TD .
OPTICS COMMUNICATIONS, 2006, 259 (02) :428-435
[8]   Fractal photon sieve [J].
Gimenez, Fernando ;
Monsoriu, Juan A. ;
Furlan, Walter D. ;
Pons, Amparo .
OPTICS EXPRESS, 2006, 14 (25) :11958-11963
[9]   GENERATION OF OPTICAL-PHASE SINGULARITIES BY COMPUTER-GENERATED HOLOGRAMS [J].
HECKENBERG, NR ;
MCDUFF, R ;
SMITH, CP ;
WHITE, AG .
OPTICS LETTERS, 1992, 17 (03) :221-223
[10]   Devil's staircase in Pb/Si(111) ordered phases [J].
Hupalo, M ;
Schmalian, J ;
Tringides, MC .
PHYSICAL REVIEW LETTERS, 2003, 90 (21) :4
12