Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2008.10892 · Frontiers of Physics

Talbot effect in nonparaxial self-accelerating beams with electromagnetically induced transparency

Jingmin Ru, Zhenkun Wu, Yagang Zhang, Feng Wen, Yuzong Gu

Published Sep 5, 2020• 12 citations
arXivHTMLPDF

Abstract

In this study, we report on the fractional Talbot effect of nonparaxial self-accelerating beams in a multilevel electromagnetically induced transparency (EIT) atomic configuration, which, to the best of our knowledge, is the first study on this subject. The Talbot effect originates from superposed eigenmodes of the Helmholtz equation and forms in the EIT window in the presence of both linear and cubic susceptibilities. The Talbot effect can be realized by appropriately selecting the coefficients of the beam components. Our results indicate that the larger the radial difference between beam components, the stronger the interference between them, the smaller the Talbot angle is. The results of this study can be useful when studying optical imaging, optical measurements, and optical computing.

DOI
10.1007/s11467-020-0984-2

Related papers

Nonparaxial self-accelerating beams in an atomic vapor with electromagnetically induced transparency

Hua Zhong, Yiqi Zhang, Zhaoyang Zhang +4 more

We theoretically and numerically investigate the nonparaxial self-accelerating beams in a Λ-type three-level energy system of rubidium atomic vapor in the electromagnetically induced transparency (EIT) window. In the EIT window, the absorption of the atomic vapor is small, and robust nonparaxial self-accelerating beams can be generated. The reason is that the energy of the tail transfers to the main lobe, which then maintains its shape, owing to the self-healing effect. Media with large absorption would demand large energy to compensate, and the tail would be lifted too high to maintain the profile of an accelerating beam, so that self-accelerating beams cannot be obtained any longer. An atomic vapor with small absorption is the ideal medium to produce such self-accelerating beams and, in return, self-accelerating beams may inspire new ideas in the research associated with atomic vapors and atomic-like ensembles.

Optics Letters•Dec 1, 2016•14 citations

Observation of electromagnetically induced Talbot effect in an atomic system

Zhaoyang Zhang, Xing Liu, Dan Zhang +4 more

The electromagnetically induced Talbot effect (EITE) resulting from the repeated self-reconstruction of a spatially intensity-modulated probe field is experimentally demonstrated in a three-level atomic configuration. The probe beam is launched into an optically induced lattice (established by the interference of two coupling fields) inside a rubidium vapor cell and is diffracted by the electromagnetically induced grating that was formed. The diffraction pattern repeats itself at the planes of integer multiple Talbot lengths. In addition, a fractional EITE is also investigated. The experimental observations agree well with the theoretical predictions. This investigation may potentially pave the way for studying the nonlinear and quantum dynamical features that have been predicted for established periodic optical systems.

arXiv:1608.00298•Physical Review A•Jan 3, 2018•43 citations

Talbot effects induced by gain-loss modulated optical lattices in a coherent atomic medium

Jingliang Feng, Zhaoyang Zhang, Min Xiao

We investigate the electromagnetically induced Talbot effects resulting from the gain-loss modulated optical lattices constructed in a coherent four-level $N$-type atomic system. Both integer and fractional Talbot effects are studied in a parity-time ($\mathcal{PT}$) symmetric optical lattice, quasi-$\mathcal{PT}$-symmetric optical lattices, and a conventional electromagnetically induced transparency (EIT) optical lattice. Additionally, the visibilities of Talbot images from a $\mathcal{PT}$-symmetric optical lattice, quasi-$\mathcal{PT}$-symmetric optical lattices, and a conventional EIT optical lattice are examined. This study provides insights for understanding the Talbot effects in experiments based on coherent atomic systems with gain and loss properties.

Physical Review A•Jun 21, 2021•12 citations

Nonlinear Talbot effect in electromagnetically induced optical lattice

Ruibo Ru, Huangjie Li, Sannv Zhang +6 more

The nonlinear Talbot effect means formation of self-imaging of the periodic structure by utilizing the harmonic wave instead of the fundamental one. Electromagnetically induced optical lattices established in atomic ensembles by optical induction technique have received great attention in recent years. Here, we experimentally demonstrate the nonlinear four wave mixing (FWM) Talbot effect in the Rubidium medium, where the third-order susceptibility χ(3) has periodic distribution due to the modulation from the incident pump light. Two kinds of periodic structure, the square lattice and hexagonal lattice, are employed to investigate the nonlinear FWM Talbot effect. The integer and fractional Talbot images produced by the FWM field are all obtained. The experimental results are qualitatively consistent with theoretical simulations. Different from the self-imaging of the refractive index in the linear optics, the FWM Talbot effect is the self-imaging of the periodic χ(3). The results may offer a high-resolution lensless way for imaging various optical periodic structures.

Results in Physics•Apr 24, 2024•4 citations

Talbot effect of an electromagnetically induced square photonic lattice assisted by a spatial light modulator

Shaohuan Ning, Jinxian Lu, Shun Ke Liang +4 more

We demonstrate the Talbot effect of an electromagnetically induced square photonic lattice formed under the electromagnetically induced transparency (EIT) condition both experimentally and theoretically in a three-level 85 R b atomic configuration. The two-dimensional lattice patterns result from the diffraction of a Gaussian probe field traveling through the vapor cell, in which the refractive index is modulated by a coupling field with a two-dimensional periodic intensity distribution generated by a spatial light modulator. The experimental observations are consistent with the theoretical predictions. This investigation not only provides a new avenue for producing desired electromagnetically induced photonic lattices beyond the commonly adopted multi-beam interfering method but also broadens studies of electromagnetically induced Talbot effect to two-dimensional space.

Optics Letters•Sep 15, 2021•18 citations

Electromagnetically Induced Transparency in Planar Optical Waveguide

Mariam Mohammad Nasser Tohari, Ali A. Kamli

Atomic coherence is induced in the multilevel atomic system via strong control field that alters the response of medium to a weak probe laser field. This involves quantum interference in the amplitudes of optical transitions and causes the cancellation of absorption, i.e., electromagnetically induced transparency (EIT). Electromagnetically induced transparency is investigated inside a planar optical waveguide. The eigenvalue equation for the waveguide is solved and used to explore various EIT effects. We show how EIT depends on the incidence angle and allowed mode order of the waveguide and on position of EIT atom inside the structure.

•Mar 16, 2012•1 citation
In this study, we report on the fractional Talbot effect of nonparaxial self-accelerating beams in a multilevel electromagnetically induced transparency (EIT) atomic configuration, which, to the best of our knowledge, is the first study on this subject. The Talbot effect originates from superposed eigenmodes of the Helmholtz equation and forms in the EIT window in the presence of both linear and cubic susceptibilities. The Talbot effect can be realized by appropriately selecting the coefficients of the beam components. Our results indicate that the larger the radial difference between beam components, the stronger the interference between them, the smaller the Talbot angle is. The results of this study can be useful when studying optical imaging, optical measurements, and optical computing.
We theoretically and numerically investigate the nonparaxial self-accelerating beams in a Λ-type three-level energy system of rubidium atomic vapor in the electromagnetically induced transparency (EIT) window. In the EIT window, the absorption of the atomic vapor is small, and robust nonparaxial self-accelerating beams can be generated. The reason is that the energy of the tail transfers to the main lobe, which then maintains its shape, owing to the self-healing effect. Media with large absorption would demand large energy to compensate, and the tail would be lifted too high to maintain the profile of an accelerating beam, so that self-accelerating beams cannot be obtained any longer. An atomic vapor with small absorption is the ideal medium to produce such self-accelerating beams and, in return, self-accelerating beams may inspire new ideas in the research associated with atomic vapors and atomic-like ensembles.
The electromagnetically induced Talbot effect (EITE) resulting from the repeated self-reconstruction of a spatially intensity-modulated probe field is experimentally demonstrated in a three-level atomic configuration. The probe beam is launched into an optically induced lattice (established by the interference of two coupling fields) inside a rubidium vapor cell and is diffracted by the electromagnetically induced grating that was formed. The diffraction pattern repeats itself at the planes of integer multiple Talbot lengths. In addition, a fractional EITE is also investigated. The experimental observations agree well with the theoretical predictions. This investigation may potentially pave the way for studying the nonlinear and quantum dynamical features that have been predicted for established periodic optical systems.
We investigate the electromagnetically induced Talbot effects resulting from the gain-loss modulated optical lattices constructed in a coherent four-level NNN-type atomic system. Both integer and fractional Talbot effects are studied in a parity-time (PT\mathcal{PT}PT) symmetric optical lattice, quasi-PT\mathcal{PT}PT-symmetric optical lattices, and a conventional electromagnetically induced transparency (EIT) optical lattice. Additionally, the visibilities of Talbot images from a PT\mathcal{PT}PT-symmetric optical lattice, quasi-PT\mathcal{PT}PT-symmetric optical lattices, and a conventional EIT optical lattice are examined. This study provides insights for understanding the Talbot effects in experiments based on coherent atomic systems with gain and loss properties.
The nonlinear Talbot effect means formation of self-imaging of the periodic structure by utilizing the harmonic wave instead of the fundamental one. Electromagnetically induced optical lattices established in atomic ensembles by optical induction technique have received great attention in recent years. Here, we experimentally demonstrate the nonlinear four wave mixing (FWM) Talbot effect in the Rubidium medium, where the third-order susceptibility χ(3) has periodic distribution due to the modulation from the incident pump light. Two kinds of periodic structure, the square lattice and hexagonal lattice, are employed to investigate the nonlinear FWM Talbot effect. The integer and fractional Talbot images produced by the FWM field are all obtained. The experimental results are qualitatively consistent with theoretical simulations. Different from the self-imaging of the refractive index in the linear optics, the FWM Talbot effect is the self-imaging of the periodic χ(3). The results may offer a high-resolution lensless way for imaging various optical periodic structures.
We demonstrate the Talbot effect of an electromagnetically induced square photonic lattice formed under the electromagnetically induced transparency (EIT) condition both experimentally and theoretically in a three-level 85 R b atomic configuration. The two-dimensional lattice patterns result from the diffraction of a Gaussian probe field traveling through the vapor cell, in which the refractive index is modulated by a coupling field with a two-dimensional periodic intensity distribution generated by a spatial light modulator. The experimental observations are consistent with the theoretical predictions. This investigation not only provides a new avenue for producing desired electromagnetically induced photonic lattices beyond the commonly adopted multi-beam interfering method but also broadens studies of electromagnetically induced Talbot effect to two-dimensional space.
Atomic coherence is induced in the multilevel atomic system via strong control field that alters the response of medium to a weak probe laser field. This involves quantum interference in the amplitudes of optical transitions and causes the cancellation of absorption, i.e., electromagnetically induced transparency (EIT). Electromagnetically induced transparency is investigated inside a planar optical waveguide. The eigenvalue equation for the waveguide is solved and used to explore various EIT effects. We show how EIT depends on the incidence angle and allowed mode order of the waveguide and on position of EIT atom inside the structure.