Laplacian magic windows

被引：14
作者：
Berry, M. V. [1 ]
机构：
[1] HH Wills Phys Lab, Tyndall Ave, Bristol BS8 1TL, Avon, England
来源：
JOURNAL OF OPTICS | 2017年 / 19卷 / 06期
关键词：
geometrical optics; paraxial; freeform; rays; refraction; image; FREE-FORM OPTICS; IMAGE; ILLUMINATION; MIRRORS; SURFACE; LIGHT; DESIGN;
D O I：
10.1088/2040-8986/aa6c4e
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A transparent sheet, flat to unaided vision but with a gentle surface relief, can concentrate light onto a screen with intensity reproducing any desired image: the sheet is a 'magic window'. When the ray deflections are sufficiently small that there are no caustics between the window and the screen, the image intensity is the Laplacian function of the relief height function-a very simple approximation to general freeform optics. Therefore the desired relief is obtained by solving Poisson's equation. Numerical simulations indicate that the Laplacian image approximation will apply to realistic situations.
引用
收藏
页码：1 / 5
页数：5
相关论文
共 28 条
[1]  
Ayrton W.E., 1878, P R SOC LONDON, V28, P127
[2]   Light tamers [J].
Ball, Philip .
NEW SCIENTIST, 2013, 217 (2902) :40-43
[3]  
Baraniak R G, 1995, LAPLACIAN EDGE DETEC
[4]   Oriental magic mirrors and the Laplacian image [J].
Berry, MV .
EUROPEAN JOURNAL OF PHYSICS, 2006, 27 (01) :109-118
[5]  
Brand M, 2015, LUMOGRAPHIC LENSES
[6]   DETECTION, LOCALIZATION, AND ESTIMATION OF EDGES [J].
CHEN, JS ;
MEDIONI, G .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1989, 11 (02) :191-198
[7]   Comments on 'Oriental magic mirrors and the Laplacian image' [J].
Chu, AKH .
EUROPEAN JOURNAL OF PHYSICS, 2006, 27 (03) :L13-L15
[8]   Manufacturing and measurement of freeform optics [J].
Fang, F. Z. ;
Zhang, X. D. ;
Weckenmann, A. ;
Zhang, G. X. ;
Evans, C. .
CIRP ANNALS-MANUFACTURING TECHNOLOGY, 2013, 62 (02) :823-846
[9]   Sub-micrometre accurate free-form optics by three-dimensional printing on single-mode fibres [J].
Gissibl, Timo ;
Thiele, Simon ;
Herkommer, Alois ;
Giessen, Harald .
NATURE COMMUNICATIONS, 2016, 7
[10]   Laplacian image contrast in mirror electron microscopy [J].
Kennedy, S. M. ;
Zheng, C. X. ;
Tang, W. X. ;
Paganin, D. M. ;
Jesson, D. E. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 466 (2122) :2857-2874
123