Abstract

We demonstrate that periodic self-imaging of light patterns with certain input periods can be effectively realized in one-dimensional and two-dimensional helical waveguide arrays. The band structure is drastically dependent on the helix radius and period, and the complete collapse of quasi-energy bands occurs for a certain helix radius and period, which strongly affects the intensity carpet and the Talbot length of the Talbot self-imaging effect. Talbot length would extend to infinity, as the helix radius and period approach the corresponding critical values corresponding to the band collapse, where the inversion of intensity distribution between even and odd waveguides is observed for the binary input pattern with $\pi /{2}$ phase shift between the adjacent waveguides.

© 2021 Optical Society of America

Discrete plasmonic Talbot effect in finite metal waveguide arrays

Xiaoyan Shi, Wu Yang, Huaizhong Xing, and Xiaoshuang Chen
Opt. Lett. 40(8) 1635-1638 (2015)

Discrete Talbot effect in two-dimensional waveguide arrays

Zhenhua Chen, Yong Zhang, and Min Xiao
Opt. Express 23(11) 14724-14733 (2015)

Talbot effect in waveforms containing subwavelength multilobe superoscillations

Zhigui Deng, Niv Shapira, Roei Remez, Yongyao Li, and Ady Arie
Opt. Lett. 45(9) 2538-2541 (2020)

Dynamic manipulation of nonlinear Talbot effect with structured light

Lin Li, Haigang Liu, and Xianfeng Chen
Opt. Lett. 46(6) 1281-1284 (2021)

Discrete plasmonic Talbot effect in subwavelength metal waveguide arrays

Yueke Wang, Keya Zhou, Xueru Zhang, Kun Yang, Yuxiao Wang, Yinglin Song, and Shutian Liu
Opt. Lett. 35(5) 685-687 (2010)