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Tunable Optical Vortex Knots Governed by a Quasi-Spin-Decoupled Liquid Crystal Pancharatnam–Berry Phase Element 准自旋解耦液晶Pancharatnam-Berry相位元件控制的可调谐光学旋涡节
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-05 DOI: 10.1021/acsphotonics.5c02780
Kang Wang, Hui Liu, Jinzhan Zhong, Yanke Li, Bingyan Wei, Xuetao Gan, Jianlin Zhao, Peng Li, Sheng Liu
Three-dimensional topologies of knots have played fundamental roles across multiple physics disciplines. In structured light, the stable knotted wave occurs in the form of knotted vortex loops. Although static laboratory generation of these structures has been achieved by various optical devices, the continuous and dynamically tunable modulation remains largely unexplored. Here, we present experimental demonstrations of the continuous deformation of optical vortex knots and links by developing an optical system incorporating a Pancharatnam–Berry phase element (PBPE). The generated optical vortex knots can be spatially stretched, compressed, and rotated via a single liquid crystal PBPE and conventional optical wave plates. Our method offers general approaches for the topological evolution and control of optical knots and potential applications to other physical fields.
结的三维拓扑结构在多个物理学科中发挥着重要作用。在结构光中,稳定的结波以结涡环的形式出现。尽管这些结构的静态实验室生成已经通过各种光学器件实现,但连续和动态可调谐的调制仍然很大程度上未被探索。在这里,我们通过开发一个包含Pancharatnam-Berry相位元件(PBPE)的光学系统,展示了光学涡旋结和链接的连续变形的实验证明。所产生的光涡旋结可以通过单个液晶PBPE和传统光波片进行空间拉伸、压缩和旋转。我们的方法为光学结的拓扑演化和控制提供了一般的方法,并有可能应用于其他物理领域。
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引用次数: 0
Monolithic Hybrid Metalens Singlet for Broadband Aberration-Corrected LWIR Imaging 用于宽带像差校正LWIR成像的单片混合超透镜单线态
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-05 DOI: 10.1021/acsphotonics.5c02539
Yan Chen, Mingming Hou, Linhan Li, Yang He, Sitan Liu, Shiliang Pu, Fei Yi
Conventional infrared objectives typically rely on multiple refractive elements; however, their size, mass, and assembly complexity limit compact, cost constrained LWIR applications. Here we report a high-transmittance monolithic hybrid metalens singlet for broadband LWIR (8–12 μm) imaging, in which a plano-convex refractive surface and a dispersion-engineered metalens are integrated on opposing optical surfaces. Using subwavelength meta-units selected by an RMS phase criterion evaluated at multiple wavelengths, the singlet simultaneously corrects chromatic and spherical aberrations, achieves near diffraction-limited focusing, maintains back focal length variation within ±40 μm across 8–12 μm, and delivers a broadband MTF close to the diffraction limit. FTIR and system tests show in-band average transmittance of 83.2% (metalens) and 74.8% (complete singlet). The device enables clear thermal imaging of real scenes from 0.8 to 50 m. Owing to its compact form factor and scalable fabrication potential, the monolithic singlet provides a cost-effective building block for lightweight LWIR modules and can be further combined with simple refractive correctors to realize systems with a wider field of view.
传统的红外物镜通常依赖于多个折射元件;然而,它们的尺寸、质量和组装复杂性限制了紧凑、成本受限的LWIR应用。在这里,我们报道了一种用于宽带LWIR (8-12 μm)成像的高透射率单片混合超透镜,其中平凸折射表面和色散工程超透镜集成在相对的光学表面上。采用在多个波长评估的RMS相位标准选择的亚波长元单元,单重线同时校正色差和球差,实现近衍射极限聚焦,在8-12 μm范围内保持±40 μm的反向焦距变化,并提供接近衍射极限的宽带MTF。FTIR和系统测试显示,带内平均透射率为83.2%(超透镜)和74.8%(完全单重态)。该设备可以对0.8到50米的真实场景进行清晰的热成像。由于其紧凑的外形和可扩展的制造潜力,单片单线态为轻型LWIR模块提供了经济高效的构建模块,并且可以与简单的折射校正器进一步结合,以实现具有更宽视野的系统。
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引用次数: 0
Enhancing Stability of an Integrated Fiber Optic Gyroscope Employing a Dual-Polarization Thin Film Lithium Niobate Modulator Chip 采用双极化铌酸锂薄膜调制器芯片增强集成光纤陀螺仪的稳定性
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-05 DOI: 10.1021/acsphotonics.5c02620
Weibin Feng, Xiaoya Fan, Yulin Wang, Tianxiao Zhang, Haosong Yang, Yuefeng Qi
Recent advances in integrated optical gyroscopes focus on the development of on-chip waveguide devices and noise suppression─both critical for higher integration density and measurement accuracy. In this work, we demonstrate a novel, to our knowledge, integrated fiber optic gyroscope (FOG) based on a dual-polarization (DP) scheme incorporating a z-propagating thin-film lithium niobate (TFLN) modulator chip. This chip enables consistent transmission efficiency across all polarization states through an expanded SiON butt-coupling interface and a bilayer inverse taper. By leveraging the complementarity between orthogonal polarized lights, the DP scheme effectively suppresses polarization nonreciprocity and backscattering noise, particularly that arising from chip mode hybridization and sidewall scattering. The integrated DP-FOG achieves a breakthrough bias instability of 0.018 deg/h for a TFLN-based gyroscope, using a polarization-maintaining fiber coil as short as 300 m, with clear detection of the Earth’s rotation. This noise compensation mechanism promises to find significant applications in future monolithic FOGs.
集成光学陀螺仪的最新进展集中在片上波导器件和噪声抑制的发展上,这两者对于提高集成密度和测量精度至关重要。在这项工作中,我们展示了一种新颖的,据我们所知,基于双偏振(DP)方案的集成光纤陀螺仪(FOG),该方案结合了z传播薄膜铌酸锂(TFLN)调制器芯片。该芯片通过扩展的锡安对接耦合接口和双层反锥,实现了在所有极化状态下的一致传输效率。通过利用正交偏振光之间的互补性,DP方案有效地抑制了偏振非互易性和后向散射噪声,特别是芯片模式杂化和侧壁散射引起的噪声。集成DP-FOG为基于tfln的陀螺仪实现了0.018度/小时的突破性偏倚不稳定性,使用了短至300米的偏振保持光纤线圈,可以清晰地探测到地球的自转。这种噪声补偿机制有望在未来的单片光纤陀螺中找到重要的应用。
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引用次数: 0
Monolayer-Scale AlGaN/AlN Multiple Quantum Wells as Active Media for Efficient Cathodoluminescent UVC Emitters 单层尺度AlGaN/AlN多量子阱作为高效阴极发光UVC发射器的活性介质
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-05 DOI: 10.1021/acsphotonics.5c02298
Ettore Coccato, Jesus Cañas, Davide Farina, Alexis Palais, David Cooper, Nevine Rochat, Eva Monroy
Ultraviolet light sources are essential for disinfection, water purification and biomedical applications, where compact, efficient, mercury-free emitters are needed. We report on the growth and optical characterization of ultrathin AlGaN/AlN multiple quantum wells (MQWs), synthesized by plasma-assisted molecular-beam epitaxy, with thicknesses down to a single atomic layer (monolayer, ML). By tuning the well thickness and composition, the emission wavelength can be shifted from ∼370 nm (8 ML) to 235 nm (1 ML), with the internal quantum efficiency (IQE) increasing drastically for thinner wells. IQE values exceeding 50% are obtained at 235 nm for 1-ML-thick quantum wells, enabled by a sharp enhancement in in-plane carrier confinement. Polarization-resolved measurements reveal that transverse-electric (TE) emission dominates down to ∼260 nm, with a gradual transition to transverse-magnetic (TM) polarization at shorter wavelengths. A comparative analysis with Stranski–Krastanov quantum dots and nanowires shows that ultrathin MQWs provide the most promising performance for emission below 240 nm. These results open perspectives for the implementation of such nanostructures in high-efficiency solid-state and electron-beam-pumped light sources.
紫外线光源对于消毒、水净化和生物医学应用至关重要,在这些应用中需要紧凑、高效、无汞的发射器。我们报道了超薄AlGaN/AlN多量子阱(mqw)的生长和光学特性,该量子阱是由等离子体辅助分子束外延合成的,其厚度降至单原子层(单层,ML)。通过调整井厚和组成,发射波长可以从~ 370 nm (8 ML)转移到235 nm (1 ML),对于较薄的井,内部量子效率(IQE)急剧提高。在235 nm处获得了超过50%的IQE值,用于1 ml厚的量子阱,这是由于平面内载流子约束的急剧增强。偏振分辨测量显示,横向电(TE)发射在~ 260 nm内占主导地位,在较短波长处逐渐过渡到横向磁(TM)极化。与stranski - krstanov量子点和纳米线的对比分析表明,超薄mqw在240 nm以下的发射中提供了最有希望的性能。这些结果为在高效固态和电子束抽运光源中实现这种纳米结构开辟了前景。
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引用次数: 0
C2-Symmetric Photonic Crystal Vortex Microlaser Operating in the C-Band Based on Bound States in the Continuum 基于连续体束缚态的c波段c2对称光子晶体涡旋微激光器
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-04 DOI: 10.1021/acsphotonics.5c02618
Bowen Han,Feng Tian,Wendi Huang,Shengqun Guo,Yilan Wang,Taojie Zhou
With the rapid progress of integrated photonics, miniaturized vortex lasers are crucial for chip-scale communication and computing. Bound states in the continuum with topological protection provide a promising route to realize microscale vortex lasers. Although the evolution of topological singularities in momentum space under reduced structural symmetry has been explored, systematic experimental investigations on defect-induced symmetry breaking within the unit cell and its impact on the performance of vortex lasers have yet to be conducted. Here, we propose a C2-symmetric photonic crystal vortex microlaser in the telecom C-band based on bound states in the continuum and investigate how symmetry-breaking defects affect vortex emission in C4v structures. Embedding two rectangular defects inside a circular hole of a square unit cell breaks the C4 symmetry, resulting in a cavity that emits vortex beams with reduced symmetry in the spatial intensity distribution. The proposed microlaser enables stable single-mode vortex emission at room temperature, with an experimentally measured quality factor of approximately 10500. This work reveals a new possibility of controlling vortex beam profiles through defect introduction, providing a practical route for advancing on-chip vortex lasers with customized beams.
随着集成光子学的飞速发展,小型化涡旋激光器在芯片级通信和计算中发挥着至关重要的作用。具有拓扑保护的连续介质束缚态为实现微尺度涡旋激光器提供了一条很有前途的途径。虽然已经研究了简化结构对称下动量空间拓扑奇点的演化,但对单位胞内缺陷引起的对称破缺及其对涡旋激光器性能的影响还没有系统的实验研究。本文提出了一种基于连续介质束缚态的电信c波段的c2对称光子晶体涡旋微激光器,并研究了对称性破缺缺陷对C4v结构中涡旋发射的影响。在方形单元胞的圆孔内嵌入两个矩形缺陷会破坏C4对称性,从而导致空腔发出的涡旋光束在空间强度分布上的对称性降低。所提出的微激光器能够在室温下实现稳定的单模涡旋发射,实验测量的质量因子约为10500。这项工作揭示了通过引入缺陷来控制旋涡光束轮廓的新可能性,为推进具有定制光束的片上旋涡激光器提供了一条实用的途径。
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引用次数: 0
Laser Plasma Filament-Bounded Terahertz Surface Waves 激光等离子体灯丝边界太赫兹表面波
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-04 DOI: 10.1021/acsphotonics.5c03014
Jiayu Zhao,Linlin Yuan,Jiajun Yang,Yu Xie,Yan Peng,Yiming Zhu
Laser filaments─plasma channels formed by femtosecond laser ionization in air─have emerged as a prominent source of broadband terahertz (THz) radiation and a versatile platform for free-space THz wave manipulation. However, the underlying near-field interactions, particularly the potential excitation of surface waves at THz frequencies, have remained largely unexplored due to the extreme intensity of the filament, which preclude the use of conventional near-field probes. Here, by combining in situ modulation of the filament using a movable ceramic plate and far-field THz time-domain detection, we achieve theoretical and experimental accesses to near-field THz phenomena, namely, the generation of THz surface plasmon waves (SPW) at the plasma frequency within the filament region. Our findings not only deepen the fundamental understanding of THz creation and confinement along the laser-induced plasma filament, but also establish the filament as a free-space, solid-substrate-free platform for THz SPW studies, with potential of advanced THz wave guiding and signal processing applications benefiting from the SPW nature.
激光丝──飞秒激光在空气中电离形成的等离子体通道──已经成为宽带太赫兹(THz)辐射的重要来源,也是操纵自由空间太赫兹波的通用平台。然而,潜在的近场相互作用,特别是表面波在太赫兹频率的潜在激发,由于灯丝的极端强度,这阻碍了传统近场探测器的使用,在很大程度上仍未被探索。在这里,通过结合使用可移动陶瓷板的灯丝的原位调制和远场太赫兹时域检测,我们实现了近场太赫兹现象的理论和实验途径,即在灯丝区域内等离子体频率下产生太赫兹表面等离子体波(SPW)。我们的发现不仅加深了对沿激光诱导等离子体灯丝产生和限制太赫兹的基本理解,而且还建立了灯丝作为一个自由空间、无固体基板的太赫兹SPW研究平台,具有利用SPW特性进行先进太赫兹波引导和信号处理应用的潜力。
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引用次数: 0
Design and Imaging Application Validation for the Visible Light EOT Photodetectors Based on High-Responsivity CMOS-Compatible Grating-Gate MOSFET 基于高响应度cmos兼容栅极MOSFET的可见光EOT光电探测器设计与成像应用验证
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-03 DOI: 10.1021/acsphotonics.5c02736
Peizhi Yu, Yaxuan Liu, Lingyun Zhang, Jingye Sun, Tao Deng
Optoelectronic detectors are critical for converting photon signals into electrical responses, underpinning communication systems, imaging technologies, and environmental monitoring. To address scalability and performance bottlenecks of conventional photodetectors (perovskites, 2D materials, and III–V semiconductors), this work develops a CMOS-compatible grating-gate-MOSFET-based photodetector with extraordinary optical transmission, leveraging finite-difference time-domain simulation for the structural design validation. Four configurations with various interdigital spacings (1.0, 1.5, 2.0, and 2.5 μm) were fabricated by employing a standard 0.8 μm CMOS process. Experiments confirmed exceptional transmission at ∼600 nm visible light, yielding a device responsivity of 2 × 103 A/W, an ultralow noise equivalent power of 1.27 fW/Hz1/2, and a detectivity of 2.54 × 1012 Jones. Additionally, imaging tests with 520 (visible) and 940 nm (infrared) illumination demonstrated its practical application potential. This work provides a scalable and low-cost solution with native silicon integration that overcomes the key limitations of traditional detectors for high-performance optoelectronic systems.
光电探测器对于将光子信号转换为电信号、支持通信系统、成像技术和环境监测至关重要。为了解决传统光电探测器(钙钛矿,2D材料和III-V半导体)的可扩展性和性能瓶颈,本研究开发了一种具有非凡光传输能力的cmos兼容光栅栅极mosfet光电探测器,利用有限差分时域模拟进行结构设计验证。采用标准的0.8 μm CMOS工艺制备了四种不同数字间距(1.0、1.5、2.0和2.5 μm)的结构。实验证实了在~ 600 nm可见光下的优异透射率,器件响应率为2 × 103 a /W,超低噪声等效功率为1.27 fW/Hz1/2,探测率为2.54 × 1012 Jones。此外,520 nm(可见光)和940 nm(红外)照明的成像测试显示了其实际应用潜力。这项工作提供了一种可扩展的低成本解决方案,采用原生硅集成,克服了高性能光电系统中传统探测器的关键限制。
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引用次数: 0
Inverse-Designed Metasurfaces Optimize Brightness and Directivity of Micron-Scale Phosphor-Converted Micro-LED Pixels 反设计的超表面优化微米尺度磷光转换微led像素的亮度和方向性
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-03 DOI: 10.1021/acsphotonics.5c02644
Debapriya Pal,Toni López,A. Femius Koenderink
Metasurface-based phosphor-converted micro-light emitting diodes (micro-LEDs), powered by nanophotonic designs, are rapidly emerging as a key enabler for next-generation near-eye displays─offering compact, energy-efficient, high-brightness emission with built-in directionality without relying on bulky external optics. However, scaling periodic metasurface designs to sub-5 μm footprints─crucial for AR/VR applications─remains a fundamental challenge, as truncation of large-area periodic structures severely degrades optical performance. We introduce a fast inverse design framework that integrates a genetic evolutionary algorithm with a multiple-scattering Green-function solver to optimize scatterer arrangements within a compact 2.5 × 2.5 μm2 pixel footprint. Our optimized designs boost total emission by 25% and forward-directed brightness by 43%, while also enabling programmable control over angular emission profiles, including beaming into application-specific arbitrary solid angles─compared to truncated periodic references. These improvements arise from tailored multiple-scattering interference enabled by structure-factor engineering that extends beyond the single-scattering regime. This computational approach establishes a general strategy for efficient control of incoherent light emission in ultracompact metasurfaces and paves the way toward high-brightness micro-LED pixels with densities exceeding 104 pixels per inch (PPI) resolution, meeting the stringent demands of future display technologies.
基于超表面的磷转换微型发光二极管(micro- led)采用纳米光子设计,正迅速成为下一代近眼显示器的关键推动因素──具有紧凑、节能、高亮度的内置方向性,无需依赖笨重的外部光学器件。然而,对于AR/VR应用至关重要的5 μm以下的周期超表面设计仍然是一个根本性的挑战,因为大面积周期结构的截断严重降低了光学性能。我们引入了一个快速反设计框架,该框架将遗传进化算法与多散射格林函数求解器集成在一起,以优化2.5 × 2.5 μm2紧凑像素足迹内的散射体排列。我们的优化设计将总发射提高了25%,前向亮度提高了43%,同时还可以对角度发射剖面进行可编程控制,包括向特定应用的任意立体角发射光束──与截断的周期性参考相比。这些改进来自于由结构因素工程实现的定制多重散射干扰,这种干扰超出了单散射范围。这种计算方法为有效控制超紧凑超表面的非相干光发射建立了一种通用策略,为实现密度超过104像素/英寸(PPI)分辨率的高亮度微型led像素铺平了道路,满足了未来显示技术的严格要求。
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引用次数: 0
Approaching Transform-Limited Line Widths in Telecom-Wavelength Transitions of Ungated Quantum Dots 非门控量子点电信波长跃迁中变换限制线宽的逼近
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-03-02 DOI: 10.1021/acsphotonics.5c02178
Andrew N. Wakileh,Dan Dalacu,Philip J. Poole,Boris Lamontagne,Simona Moisa,Robin L. Williams,Nir Rotenberg
Highly coherent quantum emitters operating in the telecommunication C-band (1530–1565 nm), where ultralow-loss fibers and photonic circuits are available, are crucial to the development of scalable quantum technologies. In this work, we report on a modified Stranski–Krastanov growth scheme using chemical beam epitaxy to enable the generation of high-quality InAs/InP quantum dots, characterized by near-transform-limited line widths (ΓTL). We demonstrate the growth of highly symmetric quantum dots with aspect ratios >0.8 and densities ranging from 2 to 22 μm–2. Optical characterization of these sources reveal fine-structure splittings down to 25 ± 4 μeV and a single-photon purity of g(2)(0) = 0.012 ± 0.007, confirming the quality of these dots. Further, using an etalon to measure the line width, in combination with rigorous modeling, we find an upper-bound to the mean, low-power line widths of only 12.2 ± 6.7 ΓTL and, in the best case, 2.8 ± 1.9 ΓTL. These results represent a significant step in the development of telecom-wavelength quantum light sources, which are essential for complex quantum networks and devices.
在电信c波段(1530-1565 nm)运行的高相干量子发射器,在超低损耗光纤和光子电路可用,对可扩展量子技术的发展至关重要。在这项工作中,我们报告了一种改进的Stranski-Krastanov生长方案,使用化学束外延来生成高质量的InAs/InP量子点,其特征是线宽接近变换限制(ΓTL)。我们证明了高对称量子点的生长,其长宽比为>.8,密度为2至22 μm-2。光学特性表明,这些光源的精细结构分裂可达25±4 μeV,单光子纯度为g(2)(0) = 0.012±0.007,证实了这些点的质量。此外,使用标准龙测量线宽,结合严格的建模,我们发现平均的上限,低功率线宽仅为12.2±6.7 ΓTL,在最佳情况下为2.8±1.9 ΓTL。这些结果代表了电信波长量子光源发展的重要一步,这对于复杂的量子网络和设备至关重要。
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引用次数: 0
Cavity-Enhanced Second-Harmonic Generation in Multilayer Transition Metal Dichalcogenides on Au via Hexagonal Boron Nitride Capping 六方氮化硼盖层在金表面多层过渡金属二硫族化合物中腔增强二次谐波的产生
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.1021/acsphotonics.5c02594
Kyle T. Munson, Cory D. Cress, Khang Diep, Daniel A. Vurgaftman, Jose J. Fonseca, James C. Culbertson, Nicholas Proscia, Paul D. Cunningham, Jeremy T. Robinson
Understanding and controlling nonlinear optical generation in transition metal dichalcogenides (TMDs) is critical for developing scalable photonic devices. Here, we investigate second-harmonic generation (SHG) in Au-supported 2H-WSe2 and noncentrosymmetric 3R-WS2 flakes and explore the impact of dielectric capping with hexagonal boron nitride (hBN). Using SHG microscopy and finite-element modeling, we demonstrate that optical-cavity resonances in Au-supported TMDs strongly enhance SHG, with multilayer 2H-WSe2 flakes exhibiting up to a 40-fold increase in SHG intensity at resonant thicknesses compared to monolayer WSe2 on the same Au substrate. Sequential deposition of hBN layers onto multilayer WSe2/Au optical cavities further enhances SHG by an average of 350% across a ∼70 nm spectral bandwidth by partially impedance matching WSe2 to air and, thereby, improving in and out-coupling at the fundamental and second-harmonic wavelengths. Extending this approach to 3R-WS2, we observe similar optical cavity-mediated enhancement, with SHG intensities up to 700 times that of monolayer WS2 on Au. These results demonstrate cavity engineering and dielectric capping as promising strategies for boosting broadband nonlinear optical responses in both centrosymmetric and noncentrosymmetric TMD flakes, providing design principles for future layered photonic platforms.
了解和控制过渡金属二硫族化合物(TMDs)的非线性光产生对于开发可扩展光子器件至关重要。在这里,我们研究了au负载的2H-WSe2和非中心对称的3R-WS2薄片中的二次谐波产生(SHG),并探讨了六方氮化硼(hBN)对介电覆盖的影响。使用SHG显微镜和有限元模型,我们证明了在Au支持的tmd中光学腔共振强烈增强了SHG,与在相同Au衬底上的单层WSe2相比,多层2H-WSe2薄片在共振厚度下的SHG强度增加了40倍。在多层WSe2/Au光腔上连续沉积hBN层,通过将WSe2与空气部分阻抗匹配,进一步提高了SHG在约70 nm光谱带宽内的平均350%,从而改善了基频和次谐波波长的进出耦。将这种方法扩展到3R-WS2,我们观察到类似的光学腔介导增强,其SHG强度高达Au上单层WS2的700倍。这些结果表明,空腔工程和介质封顶是提高中心对称和非中心对称TMD薄片宽带非线性光学响应的有前途的策略,为未来的分层光子平台提供了设计原则。
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引用次数: 0
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