使用广义魔镜的自相似聚焦

Self-similar focusing with generalized devil's lenses.

作者信息

Casanova Cristina, Furlan Walter D, Remón Laura, Calatayud Arnau, Monsoriu Juan A, Mendoza-Yero Omel

机构信息

Departamento de Óptica, Universidad de Valencia, E-46100 Burjasstot, Valencia, Spain.

出版信息

J Opt Soc Am A Opt Image Sci Vis. 2011 Feb 1;28(2):210-3. doi: 10.1364/JOSAA.28.000210.

DOI:10.1364/JOSAA.28.000210

PMID:21293524

Abstract

We introduce the generalized devil's lenses (GDLs) as a new family of diffractive kinoform lenses whose structure is based on the generalized Cantor set. The focusing properties of different members of this family are analyzed. It is shown that under plane wave illumination the GDLs give a single main focus surrounded by many subsidiary foci. It is shown that the total number of subsidiary foci is higher than the number of foci corresponding to conventional devil's lenses; however, the self-similar behavior of the axial irradiance is preserved to some extent.

摘要

我们引入广义魔透镜（GDLs）作为一种新的衍射波带片透镜家族，其结构基于广义康托集。分析了该家族不同成员的聚焦特性。结果表明，在平面波照明下，GDLs产生一个单一的主焦点，周围有许多副焦点。结果表明，副焦点的总数高于传统魔透镜对应的焦点数；然而，轴向辐照度的自相似行为在一定程度上得以保留。