Holographic image projection using fractional Fourier transformation

被引：7

作者：

Chang, Chenliang ^{[1
]}

Xia, Jun ^{[1
]}

Lei, Wei ^{[1
]}

机构：

[1] Southeast Univ, Sch Elect Sci & Engn, Display Ctr, Nanjing 210096, Jiangsu, Peoples R China

来源：

OPTICS COMMUNICATIONS | 2012年 / 285卷 / 01期

关键词：

Image projection; Fractional Fourier transformation; Holographic displays; Phase retrieval; ALGORITHM; DOMAIN; ORDER;

D O I：

10.1016/j.optcom.2011.08.076

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A new method of image projection based on fractional Fourier transformation is presented. This method can project an image at any distance after a lens plane. We use a modified Gerschberg-Saxton (GS) iteration algorithm to compute a phase-only hologram. The amplitude distributions both on the hologram plane and image plane are restricted while allowing their phase distributions to drift into an optimum value. The quality of the image projected by fractional Fourier hologram is close to the image projected by Fourier hologram. The RMS error between the projected image and the constrained image is computed in our experiment. A comparison in flexibility of the two projection methods is also discussed. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：24 / 28

页数：5

共 19 条

[1]

Adolf W., 1993, OPT SOC AM A, V10, P2181

[2] THE FRACTIONAL FOURIER-TRANSFORM AND APPLICATIONS [J].

BAILEY, DH ;

SWARZTRAUBER, PN .

SIAM REVIEW, 1991, 33 (03) :389-404

[3] Computation of the fractional Fourier transform [J].

Bultheel, A ;

Martinez Sulbaran HE .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2004, 16 (03) :182-202

[4] Recursive algorithm for phase retrieval in the fractional Fourier transform domain [J].

Cong, WX ;

Chen, NX ;

Gu, BY .

APPLIED OPTICS, 1998, 37 (29) :6906-6910

[5] Holographic color projection with additional phase factor to suppress zero diffractive order [J].

Ducin, Izabela ;

Kakarenko, Karol ;

Makowski, Michal ;

Siemion, Agnieszka ;

Siemion, Andrzej ;

Suszek, Jaroslaw ;

Sypek, Maciej ;

Wojnowski, Dariusz ;

Kolodziejczyk, Andrzej .

17TH SLOVAK-CZECH-POLISH OPTICAL CONFERENCE ON WAVE AND QUANTUM ASPECTS OF CONTEMPORARY OPTICS, 2010, 7746

[6] Complex signal recovery from two fractional Fourier transform intensities: order and noise dependence [J].

Ertosun, MG ;

Ath, H ;

Ozaktas, HM ;

Barshan, B .

OPTICS COMMUNICATIONS, 2005, 244 (1-6) :61-70

[7] RECONSTRUCTION OF AN OBJECT FROM MODULUS OF ITS FOURIER-TRANSFORM [J].

FIENUP, JR .

OPTICS LETTERS, 1978, 3 (01) :27-29

[8] Aspects of hologram calculation for video frames [J].

Georgiou, A. ;

Christmas, J. ;

Collings, N. ;

Moore, J. ;

Crossland, W. A. .

JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2008, 10 (03)

[9] Liquid crystal over silicon device characteristics for holographic projection of high-definition television images [J].

Georgiou, A. ;

Christmas, J. ;

Moore, J. ;

Jeziorska-Chapman, A. ;

Davey, A. ;

Collings, N. ;

Crossland, W. A. .

APPLIED OPTICS, 2008, 47 (26) :4793-4803

[10]

GERSHBERG RW, 1972, OPTIK, V35, P237

← 1 2 →