The generation of optical vortices from nonlinear photonic crystals(NPCs)with spatially modulated second-order nonlinearity offers a promising approach to extend the working wavelength and topological charge of vortex...The generation of optical vortices from nonlinear photonic crystals(NPCs)with spatially modulated second-order nonlinearity offers a promising approach to extend the working wavelength and topological charge of vortex beams for various applications.In this work,the second harmonic(SH)optical vortex beams generated from nonlinear fork gratings under Gaussian beam illumination are numerically investigated.The far-field intensity and phase distributions,as well as the orbital angular momentum(OAM)spectra of the SH beams,are analyzed for different structural topological charges and diffraction orders.Results reveal that higher-order diffraction and larger structural topological charges lead to angular interference patterns and non-uniform intensity distributions,deviating from the standard vortex profile.To optimize the SH vortex quality,the effects of the fundamental wave beam waist,crystal thickness,and grating duty cycle are explored.It is shown that increasing the beam waist can effectively suppress diffraction order interference and improve the beam’s quality.This study provides theoretical guidance for enhancing the performance of nonlinear optical devices based on NPCs.展开更多
Higher-order band topology not only enriches our understanding of topological phases but also unveils pioneering lower-dimensional boundary states,which harbors substantial potential for next-generation device applica...Higher-order band topology not only enriches our understanding of topological phases but also unveils pioneering lower-dimensional boundary states,which harbors substantial potential for next-generation device applications.The distinct electronic configurations and tunable attributes of two-dimensional materials position them as a quintessential platform for the realization of second-order topological insulators(SOTIs).This article provides an overview of the research progress in SOTIs within the field of two-dimensional electronic materials,focusing on the characterization of higher-order topological properties and the numerous candidate materials proposed in theoretical studies.These endeavors not only enhance our understanding of higher-order topological states but also highlight potential material systems that could be experimentally realized.展开更多
Leader-following stationary consensus problem is investigated for the second-order multi-agent systems with timevarying communication delay and switching topology. Based on Lyapunov-Krasovskii functional and Lyapunov-...Leader-following stationary consensus problem is investigated for the second-order multi-agent systems with timevarying communication delay and switching topology. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions respectively, consensus criterions in the form of linear matrix inequality （LMI） are obtained for the system with time-varying communication delays under static interconnection topology con- verging to the leader＇s states. Moreover, the delay-dependent consensus criterion in the form of LMI is also obtained for the system with time-invariant communication delay and switching topologies by constructing Lyapunov-Krasovskii functional. Numerical simulations present the correctness of the results.展开更多
A simple method for disturbance decoupling for matrix second-order linear systems is proposed directly in matrix second-order framework via Luenberger function observers based on complete parametric eigenstructure ass...A simple method for disturbance decoupling for matrix second-order linear systems is proposed directly in matrix second-order framework via Luenberger function observers based on complete parametric eigenstructure assignment. By introducing the H2 norm of the transfer function from disturbance to estimation error, sufficient and necessary conditions for disturbance decoupling in matrix second-order linear systems are established and are arranged into constraints on the design parameters via Luenberger function observers in terms of the closed-loop eigenvalues and the group of design parameters provided by the eigenstructure assignment approach. Therefore, the disturbance decoupling problem is converted into an eigenstructure assignment problem with extra parameter constraints. A simple example is investigated to show the effect and simplicity of the approach.展开更多
Two alkali-metal sulfamates nonlinear optical(NLO)crystals,Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3)),have been obtained through the facile evaporation method.Li(NH_(2)SO_(3))crystallizes in the polar space group Pca2_(1)(N...Two alkali-metal sulfamates nonlinear optical(NLO)crystals,Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3)),have been obtained through the facile evaporation method.Li(NH_(2)SO_(3))crystallizes in the polar space group Pca2_(1)(No.29).The structure of Li(NH_(2)SO_(3))can be described as a 3D network formed by[LiO_(4)]^(7-)polyhedral connecting with NH_(2)SO_(3)^(-)tetrahedra through corner-sharing.Na(NH_(2)SO_(3))crystallizes in the polar space group P2_(1)2_(1)2_(1)(No.19).The structure of Na(NH_(2)SO_(3))can be described as a 3D network formed by distorted[NaO_(6)]^(11-)octahedral connecting with NH_(2)SO_(3)^(-)tetrahedra through corner-sharing.The UV-Vis-near-infrared spectra demonstrate that Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3))possessed large optical band gaps of 5.25 and 4.81 eV,respectively.Powder second-harmonic generation(SHG)measurements demonstrate that the SHG intensity of Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3))were 0.32 times and 0.31 times that of KH_(2)PO_(4),respectively.First-principles calculations confirm the nonlinear optical performance mainly derived from the synergistic effect of amino sulfonate anions and alkali metal oxide anionic polyhedra.CCDC:2339109,Li(NH_(2)SO_(3));2339110,Na(NH_(2)SO_(3)).展开更多
为比较春石斛栽培品种Dendrobium Second Love‘Tokimeki’与金钗石斛的粗多糖、精多糖(除蛋白多糖)和多糖水洗组分(过层析柱分离的水洗组分)的免疫活性差异,分别对昆明小鼠灌胃上述6种不同纯度的多糖,观察其对小鼠脏体指数、迟发性变...为比较春石斛栽培品种Dendrobium Second Love‘Tokimeki’与金钗石斛的粗多糖、精多糖(除蛋白多糖)和多糖水洗组分(过层析柱分离的水洗组分)的免疫活性差异,分别对昆明小鼠灌胃上述6种不同纯度的多糖,观察其对小鼠脏体指数、迟发性变态反应、抗体积数和小鼠腹腔巨噬细胞吞噬百分比与吞噬指数等免疫学指标的影响。结果表明:2种石斛的免疫活性随多糖纯度的提高而增强,纯度最高的多糖水洗组分免疫活性最强,且各指标均显著高于对照。D.Second Love‘Tokimeki’和金钗石斛同等纯度的多糖在胸腺指数、脾脏指数、小鼠耳肿胀率及小鼠抗体积数上均无显著差异,而D.Second Love‘Tokimeki’的3种不同纯度多糖的吞噬指数均达到了与金钗石斛多糖水洗组分无显著差异的水平。综合来看,栽培品种D.Second Love‘Tokimeki’的多糖免疫活性与金钗石斛多糖相近,具有良好的药用开发价值。展开更多
根据美国Second Life Library 2.0虚拟社区的建设现状,分析图书馆虚拟社区的营销模式,认为虚拟社区改变了用户被动服务的地位,获得了主动权。对此,图书馆需采用聚众为媒的策略,为虚拟社区中的用户营造良好的使用体验,引导用户成为创建...根据美国Second Life Library 2.0虚拟社区的建设现状,分析图书馆虚拟社区的营销模式,认为虚拟社区改变了用户被动服务的地位,获得了主动权。对此,图书馆需采用聚众为媒的策略,为虚拟社区中的用户营造良好的使用体验,引导用户成为创建服务的合作者和品牌传播的中间人。展开更多
基金supported by the National Nat-ural Science Foundation of China(Nos.12192251,12174185,92163216,and 62288101).
文摘The generation of optical vortices from nonlinear photonic crystals(NPCs)with spatially modulated second-order nonlinearity offers a promising approach to extend the working wavelength and topological charge of vortex beams for various applications.In this work,the second harmonic(SH)optical vortex beams generated from nonlinear fork gratings under Gaussian beam illumination are numerically investigated.The far-field intensity and phase distributions,as well as the orbital angular momentum(OAM)spectra of the SH beams,are analyzed for different structural topological charges and diffraction orders.Results reveal that higher-order diffraction and larger structural topological charges lead to angular interference patterns and non-uniform intensity distributions,deviating from the standard vortex profile.To optimize the SH vortex quality,the effects of the fundamental wave beam waist,crystal thickness,and grating duty cycle are explored.It is shown that increasing the beam waist can effectively suppress diffraction order interference and improve the beam’s quality.This study provides theoretical guidance for enhancing the performance of nonlinear optical devices based on NPCs.
基金supported by the National Natu-ral Science Foundation of China(Grants No.12174220 and No.12074217)the Shandong Provincial Science Foundation for Excellent Young Scholars(Grant No.ZR2023YQ001)+1 种基金the Taishan Young Scholar Program of Shandong Provincethe Qilu Young Scholar Pro-gram of Shandong University.
文摘Higher-order band topology not only enriches our understanding of topological phases but also unveils pioneering lower-dimensional boundary states,which harbors substantial potential for next-generation device applications.The distinct electronic configurations and tunable attributes of two-dimensional materials position them as a quintessential platform for the realization of second-order topological insulators(SOTIs).This article provides an overview of the research progress in SOTIs within the field of two-dimensional electronic materials,focusing on the characterization of higher-order topological properties and the numerous candidate materials proposed in theoretical studies.These endeavors not only enhance our understanding of higher-order topological states but also highlight potential material systems that could be experimentally realized.
基金supported by the Fundamental Research Funds for the Central Universities(JUSRP11020)the Specialized Research Fund for the Doctoral Program of Higher Education of China(20090093120006)
文摘Leader-following stationary consensus problem is investigated for the second-order multi-agent systems with timevarying communication delay and switching topology. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions respectively, consensus criterions in the form of linear matrix inequality （LMI） are obtained for the system with time-varying communication delays under static interconnection topology con- verging to the leader＇s states. Moreover, the delay-dependent consensus criterion in the form of LMI is also obtained for the system with time-invariant communication delay and switching topologies by constructing Lyapunov-Krasovskii functional. Numerical simulations present the correctness of the results.
文摘A simple method for disturbance decoupling for matrix second-order linear systems is proposed directly in matrix second-order framework via Luenberger function observers based on complete parametric eigenstructure assignment. By introducing the H2 norm of the transfer function from disturbance to estimation error, sufficient and necessary conditions for disturbance decoupling in matrix second-order linear systems are established and are arranged into constraints on the design parameters via Luenberger function observers in terms of the closed-loop eigenvalues and the group of design parameters provided by the eigenstructure assignment approach. Therefore, the disturbance decoupling problem is converted into an eigenstructure assignment problem with extra parameter constraints. A simple example is investigated to show the effect and simplicity of the approach.
文摘Two alkali-metal sulfamates nonlinear optical(NLO)crystals,Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3)),have been obtained through the facile evaporation method.Li(NH_(2)SO_(3))crystallizes in the polar space group Pca2_(1)(No.29).The structure of Li(NH_(2)SO_(3))can be described as a 3D network formed by[LiO_(4)]^(7-)polyhedral connecting with NH_(2)SO_(3)^(-)tetrahedra through corner-sharing.Na(NH_(2)SO_(3))crystallizes in the polar space group P2_(1)2_(1)2_(1)(No.19).The structure of Na(NH_(2)SO_(3))can be described as a 3D network formed by distorted[NaO_(6)]^(11-)octahedral connecting with NH_(2)SO_(3)^(-)tetrahedra through corner-sharing.The UV-Vis-near-infrared spectra demonstrate that Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3))possessed large optical band gaps of 5.25 and 4.81 eV,respectively.Powder second-harmonic generation(SHG)measurements demonstrate that the SHG intensity of Li(NH_(2)SO_(3))and Na(NH_(2)SO_(3))were 0.32 times and 0.31 times that of KH_(2)PO_(4),respectively.First-principles calculations confirm the nonlinear optical performance mainly derived from the synergistic effect of amino sulfonate anions and alkali metal oxide anionic polyhedra.CCDC:2339109,Li(NH_(2)SO_(3));2339110,Na(NH_(2)SO_(3)).
