Metasurfaces have enabled the realization of several optical functionalities over an ultrathin platform,fostering the exciting field of flat optics.Traditional metasurfaces are achieved by arranging a layout of static...Metasurfaces have enabled the realization of several optical functionalities over an ultrathin platform,fostering the exciting field of flat optics.Traditional metasurfaces are achieved by arranging a layout of static meta-atoms to imprint a desired operation on the impinging wavefront,but their functionality cannot be altered.Reconfigurability and programmability of metasurfaces are the next important step to broaden their impact,adding customized on-demand functionality in which each meta-atom can be individually reprogrammed.We demonstrate a mechanical metasurface platform with controllable rotation at the meta-atom level,which can implement continuous Pancharatnam–Berry phase control of circularly polarized microwaves.As the proof-of-concept experiments,we demonstrate metalensing,focused vortex beam generation,and holographic imaging in the same metasurface template,exhibiting versatility and superior performance.Such dynamic control of electromagnetic waves using a single,low-cost metasurface paves an avenue towards practical applications,driving the field of reprogrammable intelligent metasurfaces for a variety of applications.展开更多
Orbital angular momentum(OAM)is a phenomenon of vortex phase distribution in free space,which has attracted enormous attention in theoretical research and practical application of wireless communication systems due to...Orbital angular momentum(OAM)is a phenomenon of vortex phase distribution in free space,which has attracted enormous attention in theoretical research and practical application of wireless communication systems due to its characteristic of infinitely orthogonal modes.However,traditional methods generating OAM beams are bound to complex structure,large device,multiple layers,complex feed networks,and limited beams in microwave range.Here,a digital coding transmissive metasurface(DCTMS)with a single layer substrate and the bi-symmetrical arrow is proposed and designed to generate multi-OAM-beam based on Pancharatnam–Berry(PB)phase principle.The 3-bit phase response can be realized by encoding the geometric phase into rotation angle of unit cell for DCTMS.Additionally,the phase compensation of the metasurface is introduced to achieve the beam focusing and the conversion from spherical wave to plane wave.According to the digital convolution theorem,the far-field patterns and near-field distributions of multi-OAM-beam with l=–2 modes are adequately demonstrated by DCTMS prototypes.The OAM efficiency and the purity are calculated to demonstrate the excellent multiOAM-beam.The simulated and experimental results illustrate their performance of OAM beams.The designed DCTMS has profound application in multi-platform wireless communication systems and the multi-channel imaging systems.展开更多
The geometric phase concept has profound implications in many branches of physics,from condensed matter physics to quantum systems.Although geometric phase has a long research history,novel theories,devices,and applic...The geometric phase concept has profound implications in many branches of physics,from condensed matter physics to quantum systems.Although geometric phase has a long research history,novel theories,devices,and applications are constantly emerging with developments going down to the subwavelength scale.Specifically,as one of the main approaches to implement gradient phase modulation along a thin interface,geometric phase metasurfaces composed of spatially rotated subwavelength artificial structures have been utilized to construct various thin and planar meta-devices.In this paper,we first give a simple overview of the development of geometric phase in optics.Then,we focus on recent advances in continuously shaped geometric phase metasurfaces,geometric–dynamic composite phase metasurfaces,and nonlinear and high-order linear Pancharatnam–Berry phase metasurfaces.Finally,conclusions and outlooks for future developments are presented.展开更多
The geometric phase of light has been demonstrated in various platforms of the linear optical regime, raising interest both for fundamental science as well as applications, such as flat optical elements. Recently, the...The geometric phase of light has been demonstrated in various platforms of the linear optical regime, raising interest both for fundamental science as well as applications, such as flat optical elements. Recently, the concept of geometric phases has been extended to nonlinear optics, following advances in engineering both bulk nonlinear photonic crystals and nonlinear metasurfaces. These new technologies offer a great promise of applications for nonlinear manipulation of light. In this review, we cover the recent theoretical and experimental advances in the field of geometric phases accompanying nonlinear frequency conversion. We first consider the case of bulk nonlinear photonic crystals, in which the interaction between propagating waves is quasi-phase-matched, with an engineerable geometric phase accumulated by the light. Nonlinear photonic crystals can offer efficient and robust frequency conversion in both the linearized and fully-nonlinear regimes of interaction, and allow for several applications including adiabatic mode conversion, electromagnetic nonreciprocity and novel topological effects for light. We then cover the rapidly-growing field of nonlinear Pancharatnam-Berry metasurfaces, which allow the simultaneous nonlinear generation and shaping of light by using ultrathin optical elements with subwavelength phase and amplitude resolution. We discuss the macroscopic selection rules that depend on the rotational symmetry of the constituent meta-atoms, the order of the harmonic generations, and the change in circular polarization. Continuous geometric phase gradients allow the steering of light beams and shaping of their spatial modes. More complex designs perform nonlinear imaging and multiplex nonlinear holograms, where the functionality is varied according to the generated harmonic order and polarization. Recent advancements in the fabrication of three dimensional nonlinear photonic crystals, as well as the pursuit of quantum light sources based on nonlinear metasurfaces, offer exciting new possibiliti展开更多
This paper reports the experimental realization of efficiently sorting vector beams by polarization topological charge (PTC). The PTC of a vector beam can be defined as the repetition number of polarization state ch...This paper reports the experimental realization of efficiently sorting vector beams by polarization topological charge (PTC). The PTC of a vector beam can be defined as the repetition number of polarization state change along the azimuthal axis, while its sign stands for the rotating direction of the polarization. Here, a couple of liquid crystal Pancharatnam-Berry optical dements (PBOEs) have been used to introduce conjugated spatial phase modulations for two orthogonal circular polarization states. Applying these PBOEs in a 4-foptical system, our experiments show the setup can work for PTC sorting with a separation efficiency of more than 58%. This work provides an effective way to decode information from different PTCs, which may be interesting in many fields, especially in optical communication.展开更多
Optical vortices carrying orbital angular momentum(OAM)have attracted extensive attention in recent decades because of their interesting applications in optical trapping,optical machining,optical communication,quantum...Optical vortices carrying orbital angular momentum(OAM)have attracted extensive attention in recent decades because of their interesting applications in optical trapping,optical machining,optical communication,quantum information,and optical microscopy.Intriguing effects induced by OAMs,such as angular momentum conversion,spin Hall effect of light(SHEL),and spin– orbital interaction,have also gained increasing interest.In this article,we provide an overview of the modulations of OAMs on the propagation dynamics of scalar and vector fields in free space.First,we introduce the evolution of canonical and noncanonical optical vortices and analyze the modulations by means of local spatial frequency.Second,we review the Pancharatnam–Berry(PB)phases arising from spin–orbital interaction and reveal the control of beam evolution referring to novel behavior such as spindependent splitting and polarization singularity conversion.Finally,we discuss the propagation and focusing properties of azimuthally broken vector vortex beams.展开更多
In this paper, we present the analytical solution for the model that describes the interaction between a three-level atom and two systems of N-two level atoms. The effects of the quantum numbers and the coupling param...In this paper, we present the analytical solution for the model that describes the interaction between a three-level atom and two systems of N-two level atoms. The effects of the quantum numbers and the coupling parameters between spins on the Pancharatnam phase and the atomic inversion, for some special cases of the initial states, are investigated. The comparison between the two effects shows that the analytic results are well consistent.展开更多
The terahertz(THz)vortex beam generators are designed and theoretically investigated based on single-layer ultra-thin transmission metasurfaces.Noncontinuous phase changes of metasurfaces are obtained by utilizing Pan...The terahertz(THz)vortex beam generators are designed and theoretically investigated based on single-layer ultra-thin transmission metasurfaces.Noncontinuous phase changes of metasurfaces are obtained by utilizing Pancharatnam-Berry phase elements,which possess different rotation angles and are arranged on two concentric rings centered on the origin.The circularly polarized incident THz beam could be turned into a cross-polarization transmission wave,and the orbital angular momentum(OAM)varies in value by lh.The l values change from±1 to±5,and the maximal cross-polarization conversion efficiency that could be achieved is 23%,which nearly reaches the theoretical limit of a single-layer structure.The frequency range of the designed vortex generator is from 1.2 THz to 1.9 THz,and the generated THz vortex beam could keep a high fidelity in the operating bandwidth.The propagation behavior of the emerged THz vortex beam is analyzed in detail.Our work offers a novel way of designing ultra-thin and single-layer vortex beam generators,which have low process complexity,high conversion efficiency and broad bandwidth.展开更多
Benefiting from the unprecedented superiority of coding metasurfaces at manipulating electromagnetic waves in the microwave band,in this paper,we use the Pancharatnam-Berry(PB)phase concept to propose a high-efficienc...Benefiting from the unprecedented superiority of coding metasurfaces at manipulating electromagnetic waves in the microwave band,in this paper,we use the Pancharatnam-Berry(PB)phase concept to propose a high-efficiency reflectivetype coding metasurface that can arbitrarily manipulate the scattering pattern of terahertz waves and implement many novel functionalities.By optimizing the coding sequences,we demonstrate that the designed 1-,2-,and 3-bit coding metasurfaces with specific coding sequences have the strong ability to control reflected terahertz waves.The two proposed1-bit coding metasurfaces demonstrate that the reflected terahertz beam can be redirected and arbitrarily controlled.For normally incident x-and y-polarized waves,a 10 d B radar cross-section(RCS)reduction can be achieved from 2.1 THz to5.2 THz using the designed 2-bit coding metasurface.Moreover,two kinds of orbital angular momentum(OAM)vortex beams with different moduli are generated by a coding metasurface using different coding sequences.Our research provides a new degree of freedom for the sophisticated manipulation of terahertz waves,and contributes to the development of metasurfaces towards practical applications.展开更多
Recently,physical fields with topological configurations are evoking increasing attention due to their fascinating structures both in fundamental researches and practical applications.Therein,topological light fields,...Recently,physical fields with topological configurations are evoking increasing attention due to their fascinating structures both in fundamental researches and practical applications.Therein,topological light fields,because of their unique opportunity of combining experimental and analytical studies,are attracting more interest.Here,based on the Pancharatnam-Berry(PB)phase,we report the creation of Hopf linked and Trefoil knotted optical vortices by using phaseonly encoded liquid crystal(LC)holographic plates.Utilizing scanning measurement and the digital holographic interference method,we accurately locate the vortex singularities and map these topological nodal lines in three-dimensions.Compared with the common methods realized by the spatial light modulator(SLM),the phase-only LC plate is more efficient.Meanwhile,the smaller pixel size of the LC element reduces the imperfection induced by optical misalignment and pixellation.Moreover,we analyze the influence of the incident beam size on the topological configuration.展开更多
We derive a formula of the nonadiabatic noncyclic Pancharatnam phase for a mesoscopic circuit with coupled inductors and capacitors. It shows that, because of coupling effect, the circuit is in squeezed quantum state ...We derive a formula of the nonadiabatic noncyclic Pancharatnam phase for a mesoscopic circuit with coupled inductors and capacitors. It shows that, because of coupling effect, the circuit is in squeezed quantum state initially, and the time evolution of Pancharatnam phase exhibits an oscillation in a complex way. Especially we find that when the capacity of the coupled capacitors is larger than that of other ones in the circuit, with the variation of time Pancharatnam phase becomes nearly periodic square-wave, which perhaps can provide a new approach for the realization of quantum logic gate.展开更多
Pancharatnam–Berry(PB)phase metasurface,as a special class of gradient metasurfaces,has been paid much attention owing to the robust performance for phase control of circularly polarized waves.Herein,we present an el...Pancharatnam–Berry(PB)phase metasurface,as a special class of gradient metasurfaces,has been paid much attention owing to the robust performance for phase control of circularly polarized waves.Herein,we present an element-based polarizer for the first step,which enables the incident electromagnetic waves into the cross-polarized waves with the relative bandwidth of 71%,and the polarization conversion ratio exceeds 90%at 6.9–14.5 GHz.Then an eight-elements coding polarizer based on the PB phase is presented for the applications on beam control and radar cross section reduction.The simulated values indicate that the reduction of radar cross section is more than 10 dB at 6–16 GHz.Our work reveals the availability of manipulating the waves,beamforming in communication systems and electromagnetic stealth,and so on.展开更多
Emerging as a family of waves,Janus waves are known to have“real”and“virtual”components under inversion of the propagation direction.Although tremendous interest has been evoked in vortex beams featuring spiral wa...Emerging as a family of waves,Janus waves are known to have“real”and“virtual”components under inversion of the propagation direction.Although tremendous interest has been evoked in vortex beams featuring spiral wavefronts,little research has been devoted to the vortex beam embedded Janus waves,i.e.,Janus vortex beams.We propose a liquid crystal(LC)Pancharatnam–Berry(PB)phase element to demonstrate the realization of the Janus vortex beams and the modulation of the associated orbit angular momentum(OAM)and spin angular momentum(SAM).The generated Janus vortex beams show opposite OAM and SAM states at two distinct foci,revealing a spin-orbit interaction during propagation enabled by the LC PB phase element,which may play special roles in applications such as optical encryption and decryption.Other merits like reconfigurability and flexible switching between Janus vortex beams and autofocusing or autodefocusing vortex beams additionally increase the degree of freedom of manipulating vortex beams.This work provides a platform for tailoring complex structured light and may enrich the applications of vortex beams in classical and quantum optics.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 62005193, 61805129, 62075158, and 11874245)Key Research and Development Program of Shanxi Province (Grant No. 201903D121026)+1 种基金Tianjin Municipal Fund for Distinguished Young Scholars (Grant No. 18JCJQJC45600)partially supported by the Air Force Office of Scientific Research and the Simons Foundation
文摘Metasurfaces have enabled the realization of several optical functionalities over an ultrathin platform,fostering the exciting field of flat optics.Traditional metasurfaces are achieved by arranging a layout of static meta-atoms to imprint a desired operation on the impinging wavefront,but their functionality cannot be altered.Reconfigurability and programmability of metasurfaces are the next important step to broaden their impact,adding customized on-demand functionality in which each meta-atom can be individually reprogrammed.We demonstrate a mechanical metasurface platform with controllable rotation at the meta-atom level,which can implement continuous Pancharatnam–Berry phase control of circularly polarized microwaves.As the proof-of-concept experiments,we demonstrate metalensing,focused vortex beam generation,and holographic imaging in the same metasurface template,exhibiting versatility and superior performance.Such dynamic control of electromagnetic waves using a single,low-cost metasurface paves an avenue towards practical applications,driving the field of reprogrammable intelligent metasurfaces for a variety of applications.
基金supported by the National Natural Science Foundation of China(Grant Nos.62171460 and 61801508)the Natural Science Basic Research Program of Shaanxi Province,China(Grant Nos.2020JM-350,20200108,and 20210110)+3 种基金the Young Innovation Team at Colleges of Shaanxi Province,China(Grant No.2020022)the Postdoctoral Innovative Talents Support Program of China(Grant No.BX20180375)China Postdoctoral Science Foundation(Grant Nos.2021T140111,2019M650098,and 2019M653960)the Postdoctoral Research Funding of Jiangsu Province(No.2019K219).
文摘Orbital angular momentum(OAM)is a phenomenon of vortex phase distribution in free space,which has attracted enormous attention in theoretical research and practical application of wireless communication systems due to its characteristic of infinitely orthogonal modes.However,traditional methods generating OAM beams are bound to complex structure,large device,multiple layers,complex feed networks,and limited beams in microwave range.Here,a digital coding transmissive metasurface(DCTMS)with a single layer substrate and the bi-symmetrical arrow is proposed and designed to generate multi-OAM-beam based on Pancharatnam–Berry(PB)phase principle.The 3-bit phase response can be realized by encoding the geometric phase into rotation angle of unit cell for DCTMS.Additionally,the phase compensation of the metasurface is introduced to achieve the beam focusing and the conversion from spherical wave to plane wave.According to the digital convolution theorem,the far-field patterns and near-field distributions of multi-OAM-beam with l=–2 modes are adequately demonstrated by DCTMS prototypes.The OAM efficiency and the purity are calculated to demonstrate the excellent multiOAM-beam.The simulated and experimental results illustrate their performance of OAM beams.The designed DCTMS has profound application in multi-platform wireless communication systems and the multi-channel imaging systems.
基金the National Natural Science Foundation of China(61875253,62105338,and U20A20217)National Key Research and Development Program of China(2021YFA1401000)+1 种基金Sichuan Science and Technology Program(2021ZYCD001)Chinese Academy of Sciences Youth Innovation Promotion Association(2019371).
文摘The geometric phase concept has profound implications in many branches of physics,from condensed matter physics to quantum systems.Although geometric phase has a long research history,novel theories,devices,and applications are constantly emerging with developments going down to the subwavelength scale.Specifically,as one of the main approaches to implement gradient phase modulation along a thin interface,geometric phase metasurfaces composed of spatially rotated subwavelength artificial structures have been utilized to construct various thin and planar meta-devices.In this paper,we first give a simple overview of the development of geometric phase in optics.Then,we focus on recent advances in continuously shaped geometric phase metasurfaces,geometric–dynamic composite phase metasurfaces,and nonlinear and high-order linear Pancharatnam–Berry phase metasurfaces.Finally,conclusions and outlooks for future developments are presented.
基金This work was supported by Israel Science Foundation under Grant No.1415/17.
文摘The geometric phase of light has been demonstrated in various platforms of the linear optical regime, raising interest both for fundamental science as well as applications, such as flat optical elements. Recently, the concept of geometric phases has been extended to nonlinear optics, following advances in engineering both bulk nonlinear photonic crystals and nonlinear metasurfaces. These new technologies offer a great promise of applications for nonlinear manipulation of light. In this review, we cover the recent theoretical and experimental advances in the field of geometric phases accompanying nonlinear frequency conversion. We first consider the case of bulk nonlinear photonic crystals, in which the interaction between propagating waves is quasi-phase-matched, with an engineerable geometric phase accumulated by the light. Nonlinear photonic crystals can offer efficient and robust frequency conversion in both the linearized and fully-nonlinear regimes of interaction, and allow for several applications including adiabatic mode conversion, electromagnetic nonreciprocity and novel topological effects for light. We then cover the rapidly-growing field of nonlinear Pancharatnam-Berry metasurfaces, which allow the simultaneous nonlinear generation and shaping of light by using ultrathin optical elements with subwavelength phase and amplitude resolution. We discuss the macroscopic selection rules that depend on the rotational symmetry of the constituent meta-atoms, the order of the harmonic generations, and the change in circular polarization. Continuous geometric phase gradients allow the steering of light beams and shaping of their spatial modes. More complex designs perform nonlinear imaging and multiplex nonlinear holograms, where the functionality is varied according to the generated harmonic order and polarization. Recent advancements in the fabrication of three dimensional nonlinear photonic crystals, as well as the pursuit of quantum light sources based on nonlinear metasurfaces, offer exciting new possibiliti
基金National Natural Science Foundation of China(NSFC)(61490710,61705132,61775142)Science and Technology Planning Project of Guangdong Province(2016B050501005)Specialized Research Fund for the Shenzhen Strategic Emerging Industries Development(JCYJ20170412105812811)
文摘This paper reports the experimental realization of efficiently sorting vector beams by polarization topological charge (PTC). The PTC of a vector beam can be defined as the repetition number of polarization state change along the azimuthal axis, while its sign stands for the rotating direction of the polarization. Here, a couple of liquid crystal Pancharatnam-Berry optical dements (PBOEs) have been used to introduce conjugated spatial phase modulations for two orthogonal circular polarization states. Applying these PBOEs in a 4-foptical system, our experiments show the setup can work for PTC sorting with a separation efficiency of more than 58%. This work provides an effective way to decode information from different PTCs, which may be interesting in many fields, especially in optical communication.
基金the National Natural Science Foundation of China(NSFC)(Grant Nos.11634010,11404262,61675168,U1630125 and 61377035)Fundamental Research Funds for the Central Universities(No.3102015ZY057)Innovation Foundation for Doctor Dissertation of North-western Polytechnical University(No.CX201629).
文摘Optical vortices carrying orbital angular momentum(OAM)have attracted extensive attention in recent decades because of their interesting applications in optical trapping,optical machining,optical communication,quantum information,and optical microscopy.Intriguing effects induced by OAMs,such as angular momentum conversion,spin Hall effect of light(SHEL),and spin– orbital interaction,have also gained increasing interest.In this article,we provide an overview of the modulations of OAMs on the propagation dynamics of scalar and vector fields in free space.First,we introduce the evolution of canonical and noncanonical optical vortices and analyze the modulations by means of local spatial frequency.Second,we review the Pancharatnam–Berry(PB)phases arising from spin–orbital interaction and reveal the control of beam evolution referring to novel behavior such as spindependent splitting and polarization singularity conversion.Finally,we discuss the propagation and focusing properties of azimuthally broken vector vortex beams.
文摘In this paper, we present the analytical solution for the model that describes the interaction between a three-level atom and two systems of N-two level atoms. The effects of the quantum numbers and the coupling parameters between spins on the Pancharatnam phase and the atomic inversion, for some special cases of the initial states, are investigated. The comparison between the two effects shows that the analytic results are well consistent.
基金the National Natural Science Foundation of China(Grant No.62071312)the Important R&D Projects of Shanxi Province,China(Grant No.201803D121083)the Shanxi Scholarship Council(Grant No.2020-135).
文摘The terahertz(THz)vortex beam generators are designed and theoretically investigated based on single-layer ultra-thin transmission metasurfaces.Noncontinuous phase changes of metasurfaces are obtained by utilizing Pancharatnam-Berry phase elements,which possess different rotation angles and are arranged on two concentric rings centered on the origin.The circularly polarized incident THz beam could be turned into a cross-polarization transmission wave,and the orbital angular momentum(OAM)varies in value by lh.The l values change from±1 to±5,and the maximal cross-polarization conversion efficiency that could be achieved is 23%,which nearly reaches the theoretical limit of a single-layer structure.The frequency range of the designed vortex generator is from 1.2 THz to 1.9 THz,and the generated THz vortex beam could keep a high fidelity in the operating bandwidth.The propagation behavior of the emerged THz vortex beam is analyzed in detail.Our work offers a novel way of designing ultra-thin and single-layer vortex beam generators,which have low process complexity,high conversion efficiency and broad bandwidth.
基金Project supported by the National Natural Science Foundation of China(Grant No.61865008)Northwest Normal University Young Teachers’Scientific Research Capability Upgrading Program(Grant No.NWNU-LKQN2020-11)the Scientific Research Fund of Sichuan Provincial Science and Technology Department,China(Grant No.2020YJ0137)。
文摘Benefiting from the unprecedented superiority of coding metasurfaces at manipulating electromagnetic waves in the microwave band,in this paper,we use the Pancharatnam-Berry(PB)phase concept to propose a high-efficiency reflectivetype coding metasurface that can arbitrarily manipulate the scattering pattern of terahertz waves and implement many novel functionalities.By optimizing the coding sequences,we demonstrate that the designed 1-,2-,and 3-bit coding metasurfaces with specific coding sequences have the strong ability to control reflected terahertz waves.The two proposed1-bit coding metasurfaces demonstrate that the reflected terahertz beam can be redirected and arbitrarily controlled.For normally incident x-and y-polarized waves,a 10 d B radar cross-section(RCS)reduction can be achieved from 2.1 THz to5.2 THz using the designed 2-bit coding metasurface.Moreover,two kinds of orbital angular momentum(OAM)vortex beams with different moduli are generated by a coding metasurface using different coding sequences.Our research provides a new degree of freedom for the sophisticated manipulation of terahertz waves,and contributes to the development of metasurfaces towards practical applications.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11634010,91850118,11774289,61675168,and 11804277)the National Key Research and Development Program of China(Grant No.2017YFA0303800)+1 种基金the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics(Grant No.U1630125)the Fundamental Research Funds for the Central Universities,China(Grant Nos.3102018zy036,3102019JC008,and 310201911cx022)。
文摘Recently,physical fields with topological configurations are evoking increasing attention due to their fascinating structures both in fundamental researches and practical applications.Therein,topological light fields,because of their unique opportunity of combining experimental and analytical studies,are attracting more interest.Here,based on the Pancharatnam-Berry(PB)phase,we report the creation of Hopf linked and Trefoil knotted optical vortices by using phaseonly encoded liquid crystal(LC)holographic plates.Utilizing scanning measurement and the digital holographic interference method,we accurately locate the vortex singularities and map these topological nodal lines in three-dimensions.Compared with the common methods realized by the spatial light modulator(SLM),the phase-only LC plate is more efficient.Meanwhile,the smaller pixel size of the LC element reduces the imperfection induced by optical misalignment and pixellation.Moreover,we analyze the influence of the incident beam size on the topological configuration.
文摘We derive a formula of the nonadiabatic noncyclic Pancharatnam phase for a mesoscopic circuit with coupled inductors and capacitors. It shows that, because of coupling effect, the circuit is in squeezed quantum state initially, and the time evolution of Pancharatnam phase exhibits an oscillation in a complex way. Especially we find that when the capacity of the coupled capacitors is larger than that of other ones in the circuit, with the variation of time Pancharatnam phase becomes nearly periodic square-wave, which perhaps can provide a new approach for the realization of quantum logic gate.
基金supported by the National Natural Science Foundation of China(No.42274189)the Project of Science and Technology of Shaanxi(No.2021JM-395).
文摘Pancharatnam–Berry(PB)phase metasurface,as a special class of gradient metasurfaces,has been paid much attention owing to the robust performance for phase control of circularly polarized waves.Herein,we present an element-based polarizer for the first step,which enables the incident electromagnetic waves into the cross-polarized waves with the relative bandwidth of 71%,and the polarization conversion ratio exceeds 90%at 6.9–14.5 GHz.Then an eight-elements coding polarizer based on the PB phase is presented for the applications on beam control and radar cross section reduction.The simulated values indicate that the reduction of radar cross section is more than 10 dB at 6–16 GHz.Our work reveals the availability of manipulating the waves,beamforming in communication systems and electromagnetic stealth,and so on.
基金supported by the National Natural Science Foundation of China(NSFC)(12074313,12074312,12174309,and 62175200)National Key R&D Program of China(2017YFA0303800)Fundamental Research Funds for the Central Universities(3102019JC008).
文摘Emerging as a family of waves,Janus waves are known to have“real”and“virtual”components under inversion of the propagation direction.Although tremendous interest has been evoked in vortex beams featuring spiral wavefronts,little research has been devoted to the vortex beam embedded Janus waves,i.e.,Janus vortex beams.We propose a liquid crystal(LC)Pancharatnam–Berry(PB)phase element to demonstrate the realization of the Janus vortex beams and the modulation of the associated orbit angular momentum(OAM)and spin angular momentum(SAM).The generated Janus vortex beams show opposite OAM and SAM states at two distinct foci,revealing a spin-orbit interaction during propagation enabled by the LC PB phase element,which may play special roles in applications such as optical encryption and decryption.Other merits like reconfigurability and flexible switching between Janus vortex beams and autofocusing or autodefocusing vortex beams additionally increase the degree of freedom of manipulating vortex beams.This work provides a platform for tailoring complex structured light and may enrich the applications of vortex beams in classical and quantum optics.