April 2023
Spotlight Summary by Hamidreza Ramezani
Discrete Talbot effect in reciprocal and nonreciprocal dimer lattices
The Talbot effect is the classical analog of the temporal quantum revival, a process enabling to retrieve quantum states with high fidelities as needed in any robust quantum device. The Talbot effect is explained as a near-field diffraction phenomenon in which the self-imaging of a periodic structure, illuminated by coherent light, periodically replicates at a certain length known as the Talbot length with a pattern known as the Talbot carpet. It has vast applications in image processing and optical computing for microscopy and, so far, is limited to Hermitian structures.
Particularly, one of the common signatures of most classical and quantum systems depicting revival is the real potential, limited to the study of revivals using Hermitian gratings. On the other hand, non-Hermiticity provides interesting effects that are missing in Hermitian systems. Consequently, the study of the non-Hermitian Talbot effect is inevitable. In 2012, Ramezani, et al. proposed a reconfigurable non-Hermitian Talbot effect associated with so-called parity-time symmetric systems in which gain and loss are required to change the Talbot length and the Talbot carpet. Here, K. Zhan, et al. use asymmetric couplings between discrete elements constituting the diffracting structure as the degree of non-Hermiticity, and find that two sets of periodicities can result in reconfigurable Talbot self-imaging, allowing more control over self-imaging by the Talbot effect.
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Particularly, one of the common signatures of most classical and quantum systems depicting revival is the real potential, limited to the study of revivals using Hermitian gratings. On the other hand, non-Hermiticity provides interesting effects that are missing in Hermitian systems. Consequently, the study of the non-Hermitian Talbot effect is inevitable. In 2012, Ramezani, et al. proposed a reconfigurable non-Hermitian Talbot effect associated with so-called parity-time symmetric systems in which gain and loss are required to change the Talbot length and the Talbot carpet. Here, K. Zhan, et al. use asymmetric couplings between discrete elements constituting the diffracting structure as the degree of non-Hermiticity, and find that two sets of periodicities can result in reconfigurable Talbot self-imaging, allowing more control over self-imaging by the Talbot effect.
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Article Information
Discrete Talbot effect in reciprocal and nonreciprocal dimer lattices
Kaiyun Zhan, Xinyue Kang, Qian Zhang, Qixuan Chen, Tingjun Zhao, Lichao Dou, and Bing Liu
J. Opt. Soc. Am. B 39(12) 3283-3289 (2022) View: Abstract | HTML | PDF