Analytical expression for phase distribution of a hexagonal array at fractional Talbot planes

被引：26

作者：

Guo, Cheng-Shan ^{[1
]}

Yin, Xia ^{[1
]}

Zhu, Lin-Wei ^{[1
]}

Hong, Zheng-Ping ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Phys, Shandong 250014, Peoples R China

来源：

OPTICS LETTERS | 2007年 / 32卷 / 15期

关键词：

D O I：

10.1364/OL.32.002079

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We describe a reciprocal-lattice vector method for analysis of the diffractive self-imaging (or Talbot effect) of a two-dimensional periodic object. Using this method we analyze the fractional Talbot effect of a hexagonal array and deduce a simple analytical expression for calculation of the complex amplitude distribution at any fractional Talbot plane. Based on this new formula, we design a hexagonal array illuminator (HTAI) with a high fractional parameter. A computer simulation for demonstration of the HTAT is also given. (C) 2007 Optical Society of America.

引用

页码：2079 / 2081

页数：3

共 8 条

[1] OPTICAL PROGRAMMABLE CELLULAR LOGIC ARRAY FOR IMAGE-PROCESSING [J].

LIU, LR ;

LIU, XB ;

CUI, B .

APPLIED OPTICS, 1991, 30 (08) :943-949

[2] MAKING AN ARRAY ILLUMINATOR BASED ON THE TALBOT EFFECT [J].

LOHMANN, AW ;

THOMAS, JA .

APPLIED OPTICS, 1990, 29 (29) :4337-4340

[3] MONOLITHIC WAVELENGTH-FLATTENED 1 X 7 SINGLE-MODE FUSED FIBER COUPLERS - THEORY, FABRICATION, AND ANALYSIS [J].

MORTIMORE, DB ;

ARKWRIGHT, JW .

APPLIED OPTICS, 1991, 30 (06) :650-659

[4] RETROREFLECTOR USING GRADIENT-INDEX RODS [J].

NEMOTO, S ;

KIDA, J .

APPLIED OPTICS, 1991, 30 (07) :815-822

[5] Designing Talbot array illuminators with phase-space optics [J].

Testorf, M .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2006, 23 (01) :187-192

[6] Efficient photonic crystal directional couplers [J].

Thorhauge, M ;

Frandsen, LH ;

Borel, PI .

OPTICS LETTERS, 2003, 28 (17) :1525-1527

[7] THEORY OF FRESNEL IMAGES .I. PLANE PERIODIC OBJECTS IN MONOCHROMATIC LIGHT [J].

WINTHROP, JT ;

WORTHINGTON, CR .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1965, 55 (04) :373-+

[8] Generation of near-field hexagonal array illumination with a phase grating [J].

Xi, P ;

Zhou, CH ;

Dai, EW ;

Liu, LR .

OPTICS LETTERS, 2002, 27 (04) :228-230

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