7656
Vol. 56, No. 27 / September 20 2017 / Applied Optics
Erratum
Full-color holographic 3D display using slice-based fractional Fourier transform combined with free-space Fresnel diffraction: erratum ZHEN ZHANG,1 SIQING CHEN,1 HUADONG ZHENG,1,2,* ZHENXIANG ZENG,1 HONGYUE GAO,1 YINGJIE YU,1 AND ANAND K. ASUNDI3 1
Department of Precision Mechanical Engineering, Shanghai University, Shanghai 200072, China Key Laboratory of Advanced Display and System Application, Chinese Ministry of Education, Shanghai 200072, China 3 School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore *Corresponding author:
[email protected] 2
Received 18 July 2017; posted 24 August 2017 (Doc. ID 302322); published 18 September 2017
We have addressed some errors in our recent work [Appl. Opt. 56, 5668 (2017)]. Especially, we note that the formulae for reconstruction of phase-only holograms are different from the formulae for amplitude holograms. So Eqs. (9) and (12) must be modified. © 2017 Optical Society of America OCIS codes: (090.1705) Color holography; (090.1760) Computer holography; (090.2870) Holographic display; (070.6120) Spatial light modulators. https://doi.org/10.1364/AO.56.007656
We would draw attentions to some errors in our recent paper [1]. 1. The symbol “j” should be added to Eq. (9), and the modified equation is ZZ expjkz jk 2 j2π expjH t u; v exp x y 2 u2 v 2 − xu yv dudv: G t x; y jλz 2z λz
(9)
2. Eq. (12) is not correct, and it should be modified as 0
0
G t;i x ;y
ZZ
2 u v 2 x 0 ∕cos pi0 π∕22 y 0 ∕cos pi0 π∕22 x 0 u y 0 v − j2π dudv: expjH t u;vexp jπ λf e tan pi0 π∕2 λf e sin pi0 π∕2
(12)
3. Reference citation “[10,-12]” in the first paragraph of introduction should be “[10–12]”. 4. The font type of symbols “j” and “π” in Eq. (6) should be non-italic.
REFERENCE 1. Z. Zhang, S. Chen, H. Zheng, Z. Zeng, H. Gao, Y. Yu, and A. K. Asundi, “Full-color holographic 3D display using slice-based fractional Fourier transform combined with free-space Fresnel diffraction,” Appl. Opt. 56, 5668–5675 (2017).
1559-128X/17/277656-01 Journal © 2017 Optical Society of America
