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Martone GI, Cherroret N. Time Translation Symmetry Breaking in an Isolated Spin-Orbit-Coupled Fluid of Light. PHYSICAL REVIEW LETTERS 2023; 131:013803. [PMID: 37478429 DOI: 10.1103/physrevlett.131.013803] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2022] [Revised: 05/14/2023] [Accepted: 06/08/2023] [Indexed: 07/23/2023]
Abstract
We study the interplay between intrinsic spin-orbit coupling and nonlinear photon-photon interactions in a nonparaxial, elliptically polarized fluid of light propagating in a bulk Kerr medium. We find that in situations where the nonlinear interactions induce birefringence, i.e., a polarization-dependent nonlinear refractive index, their interplay with spin-orbit coupling results in an interference between the two polarization components of the fluid traveling at different wave vectors, which entails the breaking of translation symmetry along the propagation direction. This phenomenon leads to a Floquet band structure in the Bogoliubov spectrum of the fluid, and to characteristic oscillations of its intensity correlations. We characterize these oscillations in detail and point out their exponential growth at large propagation distances, revealing the presence of parametric resonances.
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Affiliation(s)
- Giovanni I Martone
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France
- CNR NANOTEC, Institute of Nanotechnology, Via Monteroni, 73100 Lecce, Italy
- INFN, Sezione di Lecce, 73100 Lecce, Italy
| | - Nicolas Cherroret
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France
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2
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Sheng L, Zhou X, Chen Y, Zhang H, Zhang Z. Role of in-plane shift in reconstructing the photonic spin Hall effect. OPTICS LETTERS 2022; 47:4778-4781. [PMID: 36107088 DOI: 10.1364/ol.472711] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2022] [Accepted: 08/18/2022] [Indexed: 06/15/2023]
Abstract
The photonic spin Hall effect (SHE) manifests itself as in-plane and transverse spin-dependent shifts of left- and right-handed circularly polarized (LCP, RCP) components and originates from the spin-orbit interaction (SOI) of light, where extrinsic orbital angular momentum (EOAM) can induce these shifts. However, previous studies mainly focus on the SOI corresponding to transverse shifts and generally consider the paraxial approximation case. In this Letter, we reconstruct a more general theory of the photonic SHE in the non-paraxial case and reveal that the induction of an in-plane shift mainly relies on the EOAM of the y direction, supplemented by the EOAM of the x and z directions under the laboratory coordinate system. In addition, the EOAM in the x and z directions completely determine the transverse shift. Moreover, the angular momentum conversion between the LCP and RCP components results in the angular momentum of the LCP (RCP) component of the incident Gaussian beam not being equal to the sum of the angular momentum of the LCP (RCP) component of the reflected and transmitted light. These findings explore the influence of in-plane shifts on the SOI of light and provide an in-depth understanding of the photonic SHE.
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Baishya U, Kumar N, Viswanathan NK. Dark-field spin Hall effect of light. OPTICS LETTERS 2022; 47:4479-4482. [PMID: 36048683 DOI: 10.1364/ol.468088] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/16/2022] [Accepted: 08/09/2022] [Indexed: 06/15/2023]
Abstract
While an optical system's symmetry ensures that the spin Hall effect of light (SHEL) vanishes at normal incidence, the question of how close to the normal incidence can one reliably measure the SHEL remains open. Here we report simulation and experimental results on the measurement of SHEL at $\sim 0.12^\circ$ away from normal incidence in the Fourier plane of a weakly focused beam of light, reflected at an air-glass interface. Measurement of transverse spin-shift due to $< 0.05^\circ$ polarization variation in the beam cross section along the X- and Y-directions is achieved in the dark-field region of the reflected beam. Our ability to measure the SHEL at near-normal incidence with no moving optomechanical parts and significantly improved sensitivity to phase-polarization variations is expected to enable several applications in the retro-reflection geometry including material characterization with significant advantages.
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Shi P, Lei X, Zhang Q, Li H, Du L, Yuan X. Intrinsic Spin-Momentum Dynamics of Surface Electromagnetic Waves in Dispersive Interfaces. PHYSICAL REVIEW LETTERS 2022; 128:213904. [PMID: 35687452 DOI: 10.1103/physrevlett.128.213904] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/14/2021] [Accepted: 04/26/2022] [Indexed: 06/15/2023]
Abstract
Intrinsic spin-momentum locking is an inherent property of surface electromagnetic fields and its study has led to the discovery of phenomena such as unidirectional guided waves and photonic spin lattices. Previously, dispersion was ignored in spin-momentum locking, resulting in anomalies contradicting the apparent physical reality. Here, we formulate four dispersive spin-momentum equations, revealing in theory that transverse spin is locked with kinetic momentum. Moreover, in dispersive metal or magnetic materials spin-momentum locking obeys the left-hand screw rule. In addition to dispersion, structural features can affect substantially this locking. Remarkably, an extraordinary spin originating from coupling polarization ellipticities is uncovered that depends on the symmetry of the field modes. We further identify the properties of this spin-momentum locking with diverse photonic topological lattices by engineering their rotational symmetry akin to that in solid-state physics. The concept of spin-momentum locking based on photon flow properties translates easily to other classical wave fields.
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Affiliation(s)
- Peng Shi
- Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen 518060, China
| | - Xinrui Lei
- Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen 518060, China
| | - Qiang Zhang
- Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen 518060, China
| | - Heng Li
- Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen 518060, China
| | - Luping Du
- Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen 518060, China
| | - Xiaocong Yuan
- Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen 518060, China
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Miao C, Wang D, Herrmann E, Zheng Z, Huang H, Gao H. Limitations of the transmitted photonic spin Hall effect through layered structure. Sci Rep 2021; 11:21083. [PMID: 34702919 PMCID: PMC8548548 DOI: 10.1038/s41598-021-00681-0] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2021] [Accepted: 10/08/2021] [Indexed: 11/13/2022] Open
Abstract
In this paper, we show theoretically that the spin-dependent transverse shift of the transmitted photonic spin Hall effect (SHE) through layered structure cannot exceed half of the incident beam waist. Exact conditions for obtaining the upper limit of the transmitted SHE are clarified in detail. In addition, different from the popular view in many investigations, we find that there is no positive correlation between the spin-dependent transverse displacement and the ratio between the Fresnel transmission coefficients (tp, ts). In contrast, the optimal transmission ratio is determined by the incident angle and the beam waist. Moreover, two conventional transmission structures are selected and studied in detail. The characteristics of the transverse displacements obtained are in very good agreement with our theoretical conclusions. These findings provide a deeper insight into the photonic spin Hall phenomena and offer a guide for future related research.
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Affiliation(s)
- Chong Miao
- School of Science, China University of Geosciences, Beijing, 100083, China
| | - Dongxue Wang
- School of Science, China University of Geosciences, Beijing, 100083, China
| | - Eric Herrmann
- Department of Materials Science and Engineering, College of Engineering, University of Delaware, Newark, DE, 19716, USA
| | - Zhiyuan Zheng
- School of Science, China University of Geosciences, Beijing, 100083, China
| | - Haochong Huang
- School of Science, China University of Geosciences, Beijing, 100083, China
| | - Hua Gao
- School of Science, China University of Geosciences, Beijing, 100083, China.
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Ren X, Zeng X, Liu C, Cheng C, Zhang R, Zhang Y, Zhan Z, Kong Q, Sun R, Cheng C. Optical Spin Hall Effect in Closed Elliptical Plasmonic Nanoslit with Noncircular Symmetry. NANOMATERIALS 2021; 11:nano11040851. [PMID: 33810485 PMCID: PMC8066872 DOI: 10.3390/nano11040851] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/05/2021] [Revised: 03/21/2021] [Accepted: 03/22/2021] [Indexed: 01/13/2023]
Abstract
We investigated the optical spin Hall effect (OSHE) of the light field from a closed elliptical metallic curvilinear nanoslit instead of the usual truncated curvilinear nanoslit. By making use of the characteristic bright spots in the light field formed by the noncircular symmetry of the elliptical slit and by introducing a method to separate the incident spin component (ISC) and converted spin component (CSC) of the output field, the OSHE manifested in the spot shifts in the CSC was more clearly observable and easily measurable. The slope of the elliptical slit, which was inverse along the principal axes, provided a geometric phase gradient to yield the opposite shifts of the characteristic spots in centrosymmetry, with a double shift achieved between the spots. Regarding the mechanism of this phenomenon, the flip of the spin angular momentum (SAM) of CSC gave rise to an extrinsic orbital angular momentum corresponding to the shifts of the wavelet profiles of slit elements in the same rotational direction to satisfy the conservation law. The analytical calculation and simulation of finite-difference time domain were performed for both the slit element and the whole slit ellipse, and the evolutions of the spot shifts as well as the underlying OSHE with the parameters of the ellipse were achieved. Experimental demonstrations were conducted and had consistent results. This study could be of great significance for subjects related to the applications of the OSHE.
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Affiliation(s)
- Xiaorong Ren
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
- School of Electronic and Information Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
| | - Xiangyu Zeng
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Chunxiang Liu
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Chuanfu Cheng
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
- Correspondence: (C.C.); (C.C.)
| | - Ruirui Zhang
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Yuqin Zhang
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Zijun Zhan
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Qian Kong
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Rui Sun
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
| | - Chen Cheng
- College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (X.R.); (X.Z.); (C.L.); (R.Z.); (Y.Z.); (Z.Z.); (Q.K.); (R.S.)
- Correspondence: (C.C.); (C.C.)
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van Tiggelen BA, Rikken GLJA. Photon Hall Pinwheel Radiation of Angular Momentum by a Diffusing Magneto-Optical Medium. PHYSICAL REVIEW LETTERS 2020; 125:133901. [PMID: 33034482 DOI: 10.1103/physrevlett.125.133901] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2020] [Accepted: 08/25/2020] [Indexed: 06/11/2023]
Abstract
We present a new optical effect that exchanges angular momentum between light and matter. The matter consists of an optically thick spherical, rigid agglomerate of magneto-optical scatterers placed in a homogeneous magnetic field. The light comes from an unpolarized, coherent central light source. The photon Hall effect induces a spiraling Poynting vector, both inside and outside the medium. Optical orbital angular momentum leaks out and induces a torque proportional to the injection power of the source and the photon Hall angle.
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Affiliation(s)
- B A van Tiggelen
- 1Univ. Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France, and Univ. Grenoble Alpes, CNRS, LNCMI, EMFL, Toulouse/Grenoble, France
| | - G L J A Rikken
- 2Univ. Grenoble Alpes, CNRS, LNCMI, EMFL, Toulouse/Grenoble, France
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Li L, Zhou Z, Min C, Yuan X. Extraordinary spin-orbit interaction in the plasmonic lens with negative index material. OPTICS EXPRESS 2020; 28:26543-26554. [PMID: 32906926 DOI: 10.1364/oe.401720] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/03/2020] [Accepted: 08/17/2020] [Indexed: 06/11/2023]
Abstract
Spin-orbit interactions are inherent in many basic optical processes in anisotropic and inhomogeneous materials, under tight focusing or strong scattering, and have attracted enormous attention and research efforts. Since the spin-orbit interactions depend on the materials where they occur, the study of the effects of materials on the spin-orbit interactions could play an important role in understanding and utilizing many novel optical phenomena. Here, we investigate the effect of negative-index material on the spin-orbit interactions in a plasmonic lens structure in the form of a circular slot in silver film. Numerical simulations are employed to study the influence of the negative-index material on the plasmonic vortex formation and the plasmonic focusing in the structure under circularly polarized excitations bearing different orbital angular momentum. We reveal that the presence of negative-index material leaves the plasmonic vortex field distribution and the corresponding topological charge unaltered during the spin-to-orbital angular momentum conversion, whereas reverses the rotation direction of in-plane energy flux of the plasmonic vortex and shifts the surface plasmon polariton focus position to the opposite direction compared to the case without negative-index material. This work will help further the understanding of the regulation of optical spin-orbital interactions by material properties and design optical devices with novel functions.
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