
Proceedings Paper
Near-field diffraction of a hexagonal array at fractional Talbot planesFormat | Member Price | Non-Member Price |
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Paper Abstract
Hexagonal array structure is not only a nature-preferred basic structure widely exists in nature, but also is an important
pattern that has been widely used in optoelectronics field. Talbot effect and fractional Talbot effect is one of the most
basic optical phenomena that has received extensive investigations both because it is a fundamental Fresnel diffraction
effect and also because of its wide applications. As one of the most application of the Talbot effect, Talbot array
illuminators have been extensively studied since Lohmann and Thomas put forward for the first time. One-dimensional
and two-dimensional orthogonal Talbot array illuminators are in-depth investigated and can be designed and
manufactured based on the theory of the fractional Talbot effect. A hexagonal array is a periodic nonorthogonal array
that cannot be represented by orthogonal array. Thus, it is difficult to analyze the diffraction field of hexagonal arrays at
fractional Talbot planes. Previous studies have shown that light distribution at Talbot distance can be considered multiple
copies of the original aperture by shifting and superimposing. In this paper, qualitative analysis of a hexagonal array is
carried out at fractional Talbot planes based on the fractional Talbot theory. Theory and experiment analysis show that
diffraction patterns at 1/6 and 1/3 Talbot distance are consist of nine equally spaced copies of the original aperture, and
each copy is shifted by 2a and a (a represent the side length of the hexagon) from another copy, respectively.
Experimental results are in good agreement with the theoretical analysis.
Paper Details
Date Published: 30 November 2009
PDF: 6 pages
Proc. SPIE 7506, 2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments, 750627 (30 November 2009); doi: 10.1117/12.838026
Published in SPIE Proceedings Vol. 7506:
2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments
Yongtian Wang; Yunlong Sheng; Kimio Tatsuno, Editor(s)
PDF: 6 pages
Proc. SPIE 7506, 2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments, 750627 (30 November 2009); doi: 10.1117/12.838026
Show Author Affiliations
Wei Wang, Shandong Jiaotong Univ. (China)
Hong Zhu, Shandong Jiaotong Univ. (China)
Published in SPIE Proceedings Vol. 7506:
2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments
Yongtian Wang; Yunlong Sheng; Kimio Tatsuno, Editor(s)
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