本文设计了由不对称半圆柱对阵列组成的全介质超构表面,获得了两个高品质因子的准连续域束缚态模式(quasi-bound states in the continuum,QBIC).通过选择不同形式的对称破缺,在近红外频段均可产生两个稳健的QBIC,并且二者的谐振波长、...本文设计了由不对称半圆柱对阵列组成的全介质超构表面,获得了两个高品质因子的准连续域束缚态模式(quasi-bound states in the continuum,QBIC).通过选择不同形式的对称破缺,在近红外频段均可产生两个稳健的QBIC,并且二者的谐振波长、品质因子、偏振依赖等表现出不同的特性.模拟计算表明,通过测量两个QBIC的谐振波长,能够实现折射率和温度的双参数传感;通过调节不对称参数,利用QBIC的品质因子依赖于不对称参数的二次方反比关系,理论上能够提高品质因子到任意的数值,从而实现传感性能的提升和调节.该超构表面的折射率传感灵敏度、品质因子和优值分别达到194.7 nm/RIU,45829和8197,其温度传感灵敏度达到24 pm/℃.展开更多
本文设计了由四聚长方体组成的全介质超表面,其中每个长方体刻蚀两个椭圆柱并填装空气.当分别为超表面单独引入面内对称破缺、位移扰动和周期扰动时,可在近红外波段产生稳健的准连续域束缚态模式(quasi-bound states in the continuum)...本文设计了由四聚长方体组成的全介质超表面,其中每个长方体刻蚀两个椭圆柱并填装空气.当分别为超表面单独引入面内对称破缺、位移扰动和周期扰动时,可在近红外波段产生稳健的准连续域束缚态模式(quasi-bound states in the continuum).通过测量准BIC (quasi-BIC)模式的谐振波长,计算准BIC模式的Q因子(quality fector)与不对称参数的关系,可进一步证实不对称参数对准BIC共振频率和Q因子的可调谐性.在此基础上,当同时引入面内对称破缺、位移扰动和周期扰动时,可获得5个高Q因子的准BIC模式.共振峰的数量、位置以及Q因子都可通过调整面内破缺、位移扰动和周期扰动的程度进行调控.该超表面的设计可为传感器的多参数传感以及灵敏度等性能的提升提供一种全新思路.展开更多
由高折射率介质材料制备的亚波长人工结构,通过电磁谐振效应为在纳米尺度操控光提供了一种有效方法.这类结构的吸收损耗通常较低,然而辐射损耗降低了其非线性响应的效率.通过连续域束缚态(bound states in the continuum,BICs)可望解决...由高折射率介质材料制备的亚波长人工结构,通过电磁谐振效应为在纳米尺度操控光提供了一种有效方法.这类结构的吸收损耗通常较低,然而辐射损耗降低了其非线性响应的效率.通过连续域束缚态(bound states in the continuum,BICs)可望解决这个问题.BICs是一种处于连续域内而保持局域的非常规光学态,存在于光锥线以内并且具有无限大的Q值.本文提出通过破坏硅纳米颗粒阵列原胞的对称性将BIC转变成准BIC,使得结构的透射谱中出现高Q的窄共振谷,当调节泵浦波长至共振波长时,非线性响应显著增强,三次谐波激发的强度提高了6个数量级,转化效率可提升至约2.6×10^(-6),该结果有望应用于硅基光学非线性器件的设计.展开更多
We consider a Hamiltonian of a system of two fermions on a three-dimensional lattice Z<sup>3</sup> with special potential <img alt="" src="Edit_56564354-6d65-4104-9126-d4657fa750af.png&qu...We consider a Hamiltonian of a system of two fermions on a three-dimensional lattice Z<sup>3</sup> with special potential <img alt="" src="Edit_56564354-6d65-4104-9126-d4657fa750af.png" />. The corresponding Shrödinger operator <em>H</em>(<strong>k</strong>) of the system has an invariant subspac <span style="white-space:nowrap;"><span><em>L</em></span><sup>-</sup><sub style="margin-left:-10px;">123</sub>(T<sup>3</sup>)</span> , where we study the eigenvalues and eigenfunctions of its restriction <span style="white-space:nowrap;"><span><em>H</em></span><sup>-</sup><sub style="margin-left:-10px;">123</sub></span><span style="white-space:nowrap;">(<strong>k</strong>)</span>. Moreover, there are shown that <span style="white-space:nowrap;"><span><em>H</em></span><sup>-</sup><sub style="margin-left:-10px;">123</sub>(<em>k</em><sub>1</sub>, <em>k</em><sub>2</sub>, π)</span> has also infinitely many invariant subspaces <img alt="" src="Edit_4955ffad-4b18-434a-8c99-ff14779f2812.bmp" />, where the eigenvalues and eigenfunctions of eigenvalue problem <img alt="" src="Edit_01b218d2-fa3e-4f39-bc2d-ce736205db93.bmp" />are explicitly found.展开更多
Nonlinear metasurfaces and photonic crystals provide a significant way to generate and manipulate nonlinear signals owing to the resonance-and symmetry-based light-matter interactions supported by the artificial struc...Nonlinear metasurfaces and photonic crystals provide a significant way to generate and manipulate nonlinear signals owing to the resonance-and symmetry-based light-matter interactions supported by the artificial structures.However,the nonlinear conversion efficiency is generally limited by the angular dispersion of optical resonances especially in nonparaxial photonics.Here,we propose a metagrating realizing a quasi-bound-state in the continuum in a flat band to dramatically improve the third harmonic generation(THG)efficiency.A superior operating angular range is achieved based on the interlayer and intralayer couplings,which are introduced by breaking the mirror symmetry of the metagrating.We demonstrate the relation of angular dispersion between the nonlinear and linear responses at different incident angles.We also elucidate the mechanism of these offaxis flat-band-based nonlinear conversions through different mode decomposition.Our scheme provides a robust and analytical way for nonparaxial nonlinear generation and paves the way for further applications such as wide-angle nonlinear information transmission and enhanced nonlinear generation under tight focusing.展开更多
The Klein quantum dot(KQD) refers to a quantum dot(QD) having quasi-bound states with a finite trapping time, which has been observed in experiments focusing on graphene recently. In this paper, we develop a numerical...The Klein quantum dot(KQD) refers to a quantum dot(QD) having quasi-bound states with a finite trapping time, which has been observed in experiments focusing on graphene recently. In this paper, we develop a numerical method to study the quasibound states of the KQD in graphene systems. By investigating the variation of the local density of states(LDOS) in a circular QD, we obtain the dependence of the quasi-bound states on the QD parameters, such as the electron energy, the radius and the confined potential. Based on these results, not only the experimental phenomena can be well explained, but also the crossover between quasi-bound states and real bound states is demonstrated when the intervalley scattering is included. We further study the evolution of the LDOS as the shape of the KQD varies from a circle to a semicircle. The ways of forming closed interference paths of carriers are suppressed during the deformation, and thus the corresponding quasi-bound states are eliminated. Our study reveals the mechanism of the whispering gallery mode on the quasi-bound states in graphene systems.展开更多
The Faddeev AGS equations for the coupled-channels KNN-πΣN system with quantum numbers I=1/2 and S=0 are solved. Using separable potentials for the KN-πΣ interaction, we calculate the transition probability for th...The Faddeev AGS equations for the coupled-channels KNN-πΣN system with quantum numbers I=1/2 and S=0 are solved. Using separable potentials for the KN-πΣ interaction, we calculate the transition probability for the(YK)I=0 + N→πΣN reaction. The possibility to observe the trace of the K-pp quasi-bound state in πΣN mass spectra was studied. Various types of chiral-based and phenomenological potentials are used to describe the KN-πΣ interaction. Finally, we show that we can observe the signature of the K-pp quasi-bound state in the mass spectra, as well as the trace of branch points in the observables.展开更多
文摘本文设计了由不对称半圆柱对阵列组成的全介质超构表面,获得了两个高品质因子的准连续域束缚态模式(quasi-bound states in the continuum,QBIC).通过选择不同形式的对称破缺,在近红外频段均可产生两个稳健的QBIC,并且二者的谐振波长、品质因子、偏振依赖等表现出不同的特性.模拟计算表明,通过测量两个QBIC的谐振波长,能够实现折射率和温度的双参数传感;通过调节不对称参数,利用QBIC的品质因子依赖于不对称参数的二次方反比关系,理论上能够提高品质因子到任意的数值,从而实现传感性能的提升和调节.该超构表面的折射率传感灵敏度、品质因子和优值分别达到194.7 nm/RIU,45829和8197,其温度传感灵敏度达到24 pm/℃.
文摘本文设计了由四聚长方体组成的全介质超表面,其中每个长方体刻蚀两个椭圆柱并填装空气.当分别为超表面单独引入面内对称破缺、位移扰动和周期扰动时,可在近红外波段产生稳健的准连续域束缚态模式(quasi-bound states in the continuum).通过测量准BIC (quasi-BIC)模式的谐振波长,计算准BIC模式的Q因子(quality fector)与不对称参数的关系,可进一步证实不对称参数对准BIC共振频率和Q因子的可调谐性.在此基础上,当同时引入面内对称破缺、位移扰动和周期扰动时,可获得5个高Q因子的准BIC模式.共振峰的数量、位置以及Q因子都可通过调整面内破缺、位移扰动和周期扰动的程度进行调控.该超表面的设计可为传感器的多参数传感以及灵敏度等性能的提升提供一种全新思路.
文摘由高折射率介质材料制备的亚波长人工结构,通过电磁谐振效应为在纳米尺度操控光提供了一种有效方法.这类结构的吸收损耗通常较低,然而辐射损耗降低了其非线性响应的效率.通过连续域束缚态(bound states in the continuum,BICs)可望解决这个问题.BICs是一种处于连续域内而保持局域的非常规光学态,存在于光锥线以内并且具有无限大的Q值.本文提出通过破坏硅纳米颗粒阵列原胞的对称性将BIC转变成准BIC,使得结构的透射谱中出现高Q的窄共振谷,当调节泵浦波长至共振波长时,非线性响应显著增强,三次谐波激发的强度提高了6个数量级,转化效率可提升至约2.6×10^(-6),该结果有望应用于硅基光学非线性器件的设计.
文摘We consider a Hamiltonian of a system of two fermions on a three-dimensional lattice Z<sup>3</sup> with special potential <img alt="" src="Edit_56564354-6d65-4104-9126-d4657fa750af.png" />. The corresponding Shrödinger operator <em>H</em>(<strong>k</strong>) of the system has an invariant subspac <span style="white-space:nowrap;"><span><em>L</em></span><sup>-</sup><sub style="margin-left:-10px;">123</sub>(T<sup>3</sup>)</span> , where we study the eigenvalues and eigenfunctions of its restriction <span style="white-space:nowrap;"><span><em>H</em></span><sup>-</sup><sub style="margin-left:-10px;">123</sub></span><span style="white-space:nowrap;">(<strong>k</strong>)</span>. Moreover, there are shown that <span style="white-space:nowrap;"><span><em>H</em></span><sup>-</sup><sub style="margin-left:-10px;">123</sub>(<em>k</em><sub>1</sub>, <em>k</em><sub>2</sub>, π)</span> has also infinitely many invariant subspaces <img alt="" src="Edit_4955ffad-4b18-434a-8c99-ff14779f2812.bmp" />, where the eigenvalues and eigenfunctions of eigenvalue problem <img alt="" src="Edit_01b218d2-fa3e-4f39-bc2d-ce736205db93.bmp" />are explicitly found.
基金supported by the National Key Research and Development Program of China(Grant Nos.2021YFA1400601,and 2022YFA1404501)the National Natural Science Fund for Distinguished Young Scholar(Grant No.11925403)the National Natural Science Foundation of China(Grant Nos.12122406,12192253,12274239,12274237,and U22A20258)。
文摘Nonlinear metasurfaces and photonic crystals provide a significant way to generate and manipulate nonlinear signals owing to the resonance-and symmetry-based light-matter interactions supported by the artificial structures.However,the nonlinear conversion efficiency is generally limited by the angular dispersion of optical resonances especially in nonparaxial photonics.Here,we propose a metagrating realizing a quasi-bound-state in the continuum in a flat band to dramatically improve the third harmonic generation(THG)efficiency.A superior operating angular range is achieved based on the interlayer and intralayer couplings,which are introduced by breaking the mirror symmetry of the metagrating.We demonstrate the relation of angular dispersion between the nonlinear and linear responses at different incident angles.We also elucidate the mechanism of these offaxis flat-band-based nonlinear conversions through different mode decomposition.Our scheme provides a robust and analytical way for nonparaxial nonlinear generation and paves the way for further applications such as wide-angle nonlinear information transmission and enhanced nonlinear generation under tight focusing.
基金supported by the National Natural Science Foundation of China(Grant Nos.11534001,11474211,and 11822407)the National Science Foundation of Jiangsu Province(Grant No.BK2016007)the National Basic Research Program of China(Grant No.2014CB920901)
文摘The Klein quantum dot(KQD) refers to a quantum dot(QD) having quasi-bound states with a finite trapping time, which has been observed in experiments focusing on graphene recently. In this paper, we develop a numerical method to study the quasibound states of the KQD in graphene systems. By investigating the variation of the local density of states(LDOS) in a circular QD, we obtain the dependence of the quasi-bound states on the QD parameters, such as the electron energy, the radius and the confined potential. Based on these results, not only the experimental phenomena can be well explained, but also the crossover between quasi-bound states and real bound states is demonstrated when the intervalley scattering is included. We further study the evolution of the LDOS as the shape of the KQD varies from a circle to a semicircle. The ways of forming closed interference paths of carriers are suppressed during the deformation, and thus the corresponding quasi-bound states are eliminated. Our study reveals the mechanism of the whispering gallery mode on the quasi-bound states in graphene systems.
文摘The Faddeev AGS equations for the coupled-channels KNN-πΣN system with quantum numbers I=1/2 and S=0 are solved. Using separable potentials for the KN-πΣ interaction, we calculate the transition probability for the(YK)I=0 + N→πΣN reaction. The possibility to observe the trace of the K-pp quasi-bound state in πΣN mass spectra was studied. Various types of chiral-based and phenomenological potentials are used to describe the KN-πΣ interaction. Finally, we show that we can observe the signature of the K-pp quasi-bound state in the mass spectra, as well as the trace of branch points in the observables.
