Near-field diffraction of a hexagonal array at fractional Talbot planes

Wei Wang; Hong Zhu

doi:10.1117/12.838026

30 November 2009 Near-field diffraction of a hexagonal array at fractional Talbot planes

Wei Wang, Hong Zhu

Proceedings Volume 7506, 2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments; 750627 (2009) https://doi.org/10.1117/12.838026
Event: International Conference on Optical Instrumentation and Technology, 2009, Shanghai, China

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.

Citation Download Citation

Wei Wang and Hong Zhu "Near-field diffraction of a hexagonal array at fractional Talbot planes", Proc. SPIE 7506, 2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments, 750627 (30 November 2009); https://doi.org/10.1117/12.838026

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available