Programme

O.31 -- Oral, VCTP-50

Date: Thursday, 7 August 2025

Time: 16:25 - 16:50

Investigating the Talbot effect in binary waveguide arrays

Minh C. Tran and Truong X. Tran

(1) Atomic Molecular and Optical Physics Research Group, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam; (2) Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh City, Vietnam; (3) Department of Physics, Le Quy Don Technical University, 236 Hoang Quoc Viet street, Ha Noi, Vietnam.

Waveguide arrays (WAs) are a candidate for studying many classic photonic phenomena, such as discrete diffraction [1], discrete solitons [2], and the generation of diffractive resonant radiation from discrete solitons [3]. Klein tunneling (KT) has also been investigated in BWAs both theoretically [4] and experimentally [5], and was predicted by O. Klein in 1929 [6]. According to Klein, relativistic fermions can tunnel through large repulsive potential steps, higher than the particle's energy, without the exponential decay expected in quantum nonrelativistic tunneling processes governed by the well-known Schrödinger equation [6]. This phenomenon is due to the existence of negative-energy solutions of the Dirac equation [7]. We simulated the Talbot effect by launching a Dirac soliton in binary waveguide arrays [8]. In this talk, we demonstrate that the analytical transmission coefficient in the discrete model with BWAs is in strikingly perfect agreement with the simulation-based results. REFERENCES [1] D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature (London) 424, 817 (2003). [2] D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988). [3] Truong X. Tran and F. Biancalana, Phys. Rev. Lett. 110, 113903 (2013). [4] S. Longhi, Phys. Rev. B 81, 075102 (2010). [5] F. Dreisow, R. Keil, A. T¨unnermann, S. Nolte, S. Longhi, and A. Szameit, Europhys. Lett. 97, 10008 (2012). [6] O. Klein, Z. Phys. 53, 157 (1929). [7] H. Nitta, T. Kudo, and H. Minowa, Am. J. Phys. 67, 966 (1999). [8] Minh C. Tran and Truong X. Tran, JOSA B 42, 1131-1138 (2025)

Presenter: Trần Công Minh