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Z-scan analytical modeling of nonlinear absorption using Mathieu beams 采用Mathieu光束的非线性吸收z扫描解析建模
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-11-06 DOI: 10.1007/s00340-025-08586-w
Ferhat Kessi

While conventional Z-scan techniques using Gaussian beams have been extensively studied for nonlinear absorption measurements, structured beams like Mathieu beams offer unique advantages through their tunable intensity distributions and focusing characteristics, yet their analytical modeling for nonlinear absorption remains largely unexplored. Understanding how different beam parameters influence nonlinear optical interactions is crucial for optimizing experimental configurations and developing advanced nonlinear optical devices. This paper presents a comprehensive analytical model for nonlinear absorption in Z-scan measurements using Mathieu beams. Under the weak nonlinearity approximation, we derive closed-form expressions for transmitted optical intensity, power, and normalized transmittance, incorporating both linear and nonlinear absorption effects. Through extensive numerical simulations, we systematically investigate the influence of four key beam parameters: beam order, ellipticity parameter, Rayleigh range, and radial cutoff parameter on nonlinear absorption characteristics. The results demonstrate that higher-order Mathieu beams produce progressively stronger nonlinear absorption effects while simultaneously narrowing the Full Width at Half Maximum of Z-scan curves, indicating enhanced focusing characteristics. Increasing beam ellipticity enhances absorption strength while narrowing the interaction region, reflecting the direct relationship between ellipticity and intensity concentration. The Rayleigh range analysis confirms the fundamental trade-off between beam confinement and interaction length, where tighter focusing enhances peak intensities at the expense of interaction volume. The radial cutoff parameter investigation emphasizes the importance of spatial sampling in Z-scan measurements. These findings establish a comprehensive framework for understanding and optimizing nonlinear optical interactions with Mathieu beams, providing valuable insights for designing nonlinear optical devices and optimizing Z-scan experimental configurations, with unprecedented flexibility for applications in optical limiting, beam shaping, and nonlinear optical switching systems.

虽然使用高斯光束的传统z扫描技术已被广泛研究用于非线性吸收测量,但像马修光束这样的结构光束通过其可调的强度分布和聚焦特性提供了独特的优势,但其非线性吸收的分析建模仍在很大程度上未被探索。了解不同光束参数对非线性光相互作用的影响对于优化实验配置和开发先进的非线性光学器件至关重要。本文提出了用Mathieu光束进行z扫描测量时非线性吸收的综合解析模型。在弱非线性近似下,我们导出了包含线性和非线性吸收效应的透射光强、功率和归一化透射率的封闭表达式。通过广泛的数值模拟,我们系统地研究了四个关键光束参数:光束阶数、椭圆度参数、瑞利范围和径向截止参数对非线性吸收特性的影响。结果表明,高阶Mathieu光束产生越来越强的非线性吸收效应,同时使z扫描曲线的半最大值全宽度变窄,表明聚焦特性增强。增大光束椭圆度可以增强吸收强度,同时缩小相互作用区域,反映了椭圆度与光强浓度之间的直接关系。瑞利范围分析证实了光束约束和相互作用长度之间的基本权衡,其中更紧密的聚焦以牺牲相互作用体积为代价提高峰值强度。径向截止参数的研究强调了空间采样在z扫描测量中的重要性。这些发现为理解和优化与Mathieu光束的非线性光相互作用建立了一个全面的框架,为设计非线性光学器件和优化z扫描实验配置提供了有价值的见解,为光学限制、光束整形和非线性光开关系统的应用提供了前所未有的灵活性。
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引用次数: 0
Performance comparison of Axicon phase modulation and Bessel phase modulation in generating perfect optical vortices Axicon相位调制与贝塞尔相位调制在产生完美光学旋涡中的性能比较
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-11-05 DOI: 10.1007/s00340-025-08583-z
Li Ma, Bingzhi Zhang, Shuiqin Zheng

This paper compares the performance of axicon phase modulation and Bessel phase modulation in generating perfect optical vortices (POVs). Theoretical analysis and experimental verification show that the POVs generated by axicon phase modulation have energy concentrated on the ring, but the ring radius varies with changes in topological charge. The POVs generated by Bessel phase modulation have side lobes in addition to the main ring, but most of the energy is still focused on the main ring, and the ring radius is relatively stable. Suggestions for generating POVs in different scenarios are provided in the paper.

本文比较了轴突相位调制和贝塞尔相位调制在产生完美光旋涡方面的性能。理论分析和实验验证表明,轴子相位调制产生的pov能量集中在环上,但环半径随拓扑电荷的变化而变化。贝塞尔相位调制产生的pov除了主环外还存在侧瓣,但大部分能量仍集中在主环上,且环半径相对稳定。本文提出了在不同场景下生成pov的建议。
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引用次数: 0
Anisotropy-induced absorption in a large Zeeman manifold 大型塞曼流形的各向异性诱导吸收
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-11-04 DOI: 10.1007/s00340-025-08584-y
Nayan Sharma, Ranjit Kumar Singh, Souvik Chatterjee, Prasanta K. Panigrahi, Ajay Tripathi

We present an experimental and theoretical study of anisotropy-induced changes in probe transmission at two-photon resonance for the D2 line of 87Rb in presence of a longitudinal magnetic field, exploring the effects of varying ellipticity of pump and probe fields. We theoretically investigate how a change in polarization leads to a population redistribution, thereby creating anisotropy that results in a conversion between transmission and absorption. Our theoretical investigation involves solving the density matrix equations comprising of 13 and 16 levels respectively. The 13-level model, which excludes the (F'=1) excited state, exhibits symmetric conversion between transmission and absorption for both positive and negative ellipticity. In contrast, the 16-level model, which includes the (F'=1) manifold, displays a loss of symmetry, with absorption observed only for positive ellipticity. These theoretical predictions are supported by experimental measurements. Our findings provide insight into how optical anisotropy at two-photon resonance can be engineered through atomic structure and light polarization.

本文从实验和理论两方面研究了纵向磁场作用下87Rb D2线双光子共振中探针透射率的各向异性变化,探讨了泵浦场和探针场椭圆度变化的影响。我们从理论上研究偏振的变化如何导致种群再分配,从而产生各向异性,导致传输和吸收之间的转换。我们的理论研究涉及求解分别由13和16层组成的密度矩阵方程。排除(F'=1)激发态的13能级模型,在正、负椭圆度下均表现出透射和吸收的对称转换。相比之下,包含(F'=1)流形的16层模型显示对称性丧失,仅对正椭圆性观察到吸收。这些理论预测得到了实验测量的支持。我们的发现为如何通过原子结构和光偏振来设计双光子共振的光学各向异性提供了见解。
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引用次数: 0
Influence of Raman effect on gain and noise characteristics of non-degenerate cascaded phase sensitive optical parametric amplifier 拉曼效应对非简并级联相敏光学参量放大器增益和噪声特性的影响
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-27 DOI: 10.1007/s00340-025-08580-2
Zhe Yuan, Jiachen Liu, Zhaolu Wang, Wenqi Xu, Changchang Zhang, Wenjuan Shi, Hongjun Liu

Phase sensitive optical parametric amplification (PS-OPA) can realize noiseless amplification in theory. However, Raman effect affects the four-wave mixing (FWM) process and induces excess noise in FWM-based PS-OPA systems. To achieve a more precise description of the gain evolution within the PS-OPA and its associated noise characteristics, we modified a more comprehensive theoretical model to analyze the joint impact of the Raman effect and the FWM effect. It is found that the Raman effect competes with FWM effect, which can change the evolution trend of power and relative phase in a FWM process and affect gain and noise figure (NF) features of the PS-OPA. With different frequency shift, obvious asymmetry for both gain and NF spectra is induced by Raman scattering. This model can be applied to investigate single-pump frequency non-degenerate PS-OPA with third-order nonlinear media such as highly nonlinear optical fibers (HNLF) and silicon waveguides.

相位敏感光参量放大(PS-OPA)理论上可以实现无噪声放大。然而,在基于四波混频的PS-OPA系统中,拉曼效应会影响四波混频过程并产生过量噪声。为了更精确地描述PS-OPA内部的增益演变及其相关噪声特性,我们修改了一个更全面的理论模型来分析拉曼效应和FWM效应的联合影响。研究发现,拉曼效应与FWM效应相互竞争,会改变FWM过程中功率和相对相位的演化趋势,影响PS-OPA的增益和噪声系数特性。在不同的频移情况下,拉曼散射对增益和纳频光谱都产生了明显的不对称性。该模型可用于研究具有高非线性光纤和硅波导等三阶非线性介质的单泵频非简并PS-OPA。
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引用次数: 0
Influence of volumetric multi-kHz laser irradiation on soot particle measurements in laminar diffusion flames 体积多khz激光辐照对层流扩散火焰中烟尘颗粒测量的影响
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-27 DOI: 10.1007/s00340-025-08563-3
Marcel N. Müller, Mikhail Vassilyev, Franz J. T. Huber, Stefan Will

Volumetric multi-kHz laser irradiation can affect the measurements on soot particles. The severity of the influence causing local alteration of the particle and flame properties are investigated on a laminar diffusion flame. The aim is to identify a practical fluence threshold for which no or only minor influence on soot particles due to volumetric multiple laser irradiation occurs. To this end, the three quantities of interest (QoI) of particle temperature, soot volume fraction and primary particle size are measured and evaluated via 3D-two-color-pyrometry (3D-2CP) and 3D time-resolved laser-induced incandescence (3D-TiRe-LII). As laser source, a high repetition-rate burst-mode Nd:YAG pulse laser is employed. The progression of the three QoI is investigated for different fluences (up to ~ 160 mJ/cm2) and repetition rates (up to 5 kHz) for selected individual pulses within a pulse train. For the determination of practical fluence limits, a maximum change of 25% in soot volume fraction is applied as a threshold. The fluence limit is highly dependent on laser repetition rate and flow velocity of the object of interest. For irradiation with eight laser pulses with 5 kHz, a fluence limit of ~ 60 mJ/cm2 is identified.

体积多khz激光辐照会影响烟尘颗粒的测量。研究了引起层流扩散火焰颗粒和火焰特性局部改变的影响程度。目的是确定一个实用的影响阈值,在这个阈值内,由于体积多重激光照射,对烟灰颗粒没有或只有很小的影响。为此,通过3D双色高温法(3D- 2cp)和3D时间分辨激光诱导白炽灯法(3D- tire - lii)测量和评估了颗粒温度、烟尘体积分数和初级颗粒尺寸这三个兴趣量(qi)。激光源采用高重复率的猝发模式Nd:YAG脉冲激光器。对脉冲序列中选定的单个脉冲的不同影响(最高可达~ 160 mJ/cm2)和重复率(最高可达5 kHz),研究了三个qi的进展。为确定实际影响限值,采用最大变化25%的烟尘体积分数作为阈值。通量极限高度依赖于激光重复率和目标物体的流动速度。对8个5 kHz激光脉冲的辐照,确定了~ 60 mJ/cm2的辐照限。
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引用次数: 0
Apparatus for the measurement of birefringence maps of optical materials: the case of crystalline silicon for Einstein Telescope 测量光学材料双折射图的装置:以爱因斯坦望远镜用晶体硅为例
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-25 DOI: 10.1007/s00340-025-08554-4
Alina Mariana Soflau, Federico Della Valle, Francesco Cescato, Giovanni Di Domenico, Aurélie Max Mailliet, Lorenzo Malagutti, Emilio Mariotti, Andrea Mazzolari, Marco Romagnoni, Guido Zavattini

Einstein Telescope (ET) is expected to achieve sensitivity improvements exceeding an order of magnitude compared to current gravitational-wave detectors. The rigorous characterization in optical birefringence of materials and coatings has become a critical task for next-generation detectors, especially since this birefringence is generally spatially non-uniform. A highly sensitive optical polarimeter has been developed at the Department of Physics and Earth Sciences of the University of Ferrara and INFN - Ferrara Section, Italy, aimed at performing two-dimensional birefringence mapping of substrates. In this paper we describe the design and working principle of the system and present results for crystalline silicon, a candidate material for substrates in the low-frequency interferometers of ET. We find that the birefringence is (lesssim 10^{-7}) for commercially available samples and is position dependent in the silicon (100)-oriented samples, with variations in both magnitude and axis orientation. We also measure the intrinsic birefringence of the (110) surface: (Delta n^{(110)}=-(1.50pm 0.15)times 10^{-6}) @ (lambda =1550) nm. Implications for the performance of gravitational-wave interferometers are discussed.

与目前的引力波探测器相比,爱因斯坦望远镜(ET)的灵敏度有望提高一个数量级以上。材料和涂层的光学双折射特性的严格表征已成为下一代探测器的关键任务,特别是由于这种双折射通常在空间上不均匀。意大利费拉拉大学物理与地球科学系和INFN费拉拉分部研制了一种高灵敏度光学偏振计,目的是对基材进行二维双折射映射。在本文中,我们描述了该系统的设计和工作原理,并介绍了晶体硅(ET低频干涉仪中衬底的候选材料)的结果。我们发现,商用样品的双折射为(lesssim 10^{-7}),并且与硅(100)取向样品的位置有关,其大小和轴向都有变化。我们还测量了(110)表面的固有双折射:(Delta n^{(110)}=-(1.50pm 0.15)times 10^{-6}) @ (lambda =1550) nm。讨论了对引力波干涉仪性能的影响。
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引用次数: 0
Realistic simulation of molecular emission spectra: an advancement in direct calibration-free isotopic analysis 分子发射光谱的真实模拟:直接免校准同位素分析的进展
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-22 DOI: 10.1007/s00340-025-08574-0
Anandhu Mohan, Anannya Banerjee, Rajesh V. Pai, Arnab Sarkar

This study employs Calibration-Free Laser Ablation Molecular Isotopic Spectrometry (CF-LAMIS), enhanced by the Molecular spectrA simulator under Born–OppenHeimer Approximation anD Boltzmann Equilibrium enVironment (MAHADEV) algorithm and its AWGN (Additive White Gaussian Noise) incorporated variant to directly analyse boron isotopes in natural boric acid samples and nuclear-grade boron carbide (B4C) samples. The boric acid samples yielded accuracy and precision consistent with previous studies. Initial analyses of B4C samples were challenged by the atomic and ionic interference lines. However, the BO:B-X (0–1) ro-vibrational band (RVB) was found to have fewer interferences, providing a clearer analytical window at longer acquisition delay times (td = 22 μs). This approach achieved reasonable accuracy and precision levels comparable to those obtained from pure boric acid samples, demonstrating the effectiveness of the CF-LAMIS method in handling complex matrices. The application of the AWGN–MAHADEV algorithm provided isotopic composition with significant (~ 50%) improvement in precision while maintaining comparable accuracy. Boric acid samples achieved an accuracy and precision of 0.3% and 0.8% respectively, while natural and 10B-enriched B4C samples achieved an accuracy of 0.7% and 0.2% and a precision of 0.9% and 0.6% respectively. This study highlights the potential of noise integration in calibration-free methods to achieve more precise and accurate results.

本研究采用无校准激光烧蚀分子同位素光谱法(CF-LAMIS),在Born-OppenHeimer近似和玻尔兹曼平衡环境(MAHADEV)算法下的分子光谱模拟器及其AWGN(加性高斯白噪声)变体增强,直接分析天然硼酸样品和核级碳化硼(B4C)样品中的硼同位素。硼酸样品的准确度和精密度与先前的研究一致。原子和离子干涉线对B4C样品的初步分析提出了质疑。而BO:B-X(0-1)反振动带(RVB)干扰较小,在较长的采集延迟时间(td = 22 μs)下提供了更清晰的分析窗口。该方法达到了与纯硼酸样品相当的准确度和精密度水平,证明了CF-LAMIS方法在处理复杂基质方面的有效性。AWGN-MAHADEV算法的应用使同位素组成的精度显著提高(~ 50%),同时保持相当的精度。硼酸样品的准确度和精密度分别为0.3%和0.8%,天然和富含10b的B4C样品的准确度和精密度分别为0.7%和0.2%,0.9%和0.6%。该研究强调了在无校准方法中集成噪声以获得更精确和准确结果的潜力。
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引用次数: 0
A correction procedure to reduce soot ‘volume fraction anomaly’ when combining AC-LII and SP-LII approaches for in-flame soot measurements 当结合AC-LII和SP-LII方法进行火焰中煤烟测量时,减少煤烟“体积分数异常”的校正程序
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-22 DOI: 10.1007/s00340-025-08577-x
Geoffrey Guy, Christopher Betrancourt, Jerome Bonnety, Benedetta Franzelli

A deep understanding of soot production in flames is mandatory to control this pollutant emission and design zero emission combustors. In this context, we propose to combine Auto-Compensated Laser-Induced Incandescence (AC-LII) and Separated-Pulse LII (SP-LII) approaches to measure three relevant soot quantities using a single experimental setup: soot volume fraction (f_v), absorption function (E(m_lambda )), and gas temperature (T_0). In theory, this combination is quite simple as it requires measuring the LII signal at two wavelengths for a reduced number of laser fluences. However, in practice, this combination is not trivial since each LII approach has its own limitations. Specifically, the SP-LII approach requires low laser fluences to guarantee a linear relation between the peak laser-induced soot temperature (T_M) and laser fluence F, namely the linear regime. At the same time, (f_v) values estimated using the AC-LII technique strongly depend on the laser fluence, a well-know behaviour referred to as the ‘(f_v) anomaly’, especially at low fluences. Thus, in this work, we establish a procedure to reduce the ‘(f_v) anomaly’ when performing in-flame measurements at low laser fluences so to allow a combination of AC-LII and SP-LII methods. For this, this work mainly focuses on the contribution of the background subtraction on the ‘(f_v) anomaly’ when considering measurements in the linear regime observed at low fluences. First, we theoretically quantify the error on the estimation of (T_M) and (f_v) due to background subtraction. Then, a two-loop iterative procedure is proposed to correctly estimate (T_M), (T_0) and (E(m_lambda )). This is necessary to reduce the ‘(f_v) anomaly’ and to correctly predict (f_v) in the linear LII regime. Finally, the accuracy of the combined AC-LII/SP-LII approach is evaluated by comparing the obtained results with reference state-of-the-art data for (f_v), (T_0), and (E(m_lambda )). This comparison demonstrates, for the first time, the feasibility of a combined AC-LII/SP-LII strategy to obtain (f_v), (T_0), and (E(m_lambda )) fields from a single LII setup, once the proposed procedure for background subtraction is implemented to partially correct the ‘(f_v) anomaly’.

深入了解火焰中烟尘的产生是控制这种污染物排放和设计零排放燃烧器的必要条件。在这种情况下,我们提出结合自动补偿激光诱导白炽(AC-LII)和分离脉冲LII (SP-LII)方法,使用一个单一的实验装置来测量三个相关的烟尘量:烟尘体积分数(f_v),吸收函数(E(m_lambda ))和气体温度(T_0)。理论上,这种组合非常简单,因为它需要在两个波长测量LII信号,以减少激光影响的数量。然而,在实践中,这种组合并非微不足道,因为每种LII方法都有其自身的局限性。具体来说,SP-LII方法需要较低的激光影响,以保证激光诱导的峰值烟灰温度(T_M)与激光影响F之间的线性关系,即线性状态。同时,使用AC-LII技术估计的(f_v)值在很大程度上依赖于激光通量,这是一种众所周知的行为,称为“(f_v)异常”,特别是在低通量下。因此,在这项工作中,我们建立了一个程序,以减少在低激光影响下进行火焰测量时的“(f_v)异常”,从而允许AC-LII和SP-LII方法的组合。为此,本工作主要集中在考虑在低影响下观察到的线性状态下的测量时,背景减法对“(f_v)异常”的贡献。首先,我们从理论上量化了由于背景减法而导致的(T_M)和(f_v)估计误差。然后,提出了一种双环迭代法来正确估计(T_M)、(T_0)和(E(m_lambda ))。这对于减少“(f_v)异常”和正确预测线性LII状态下的(f_v)是必要的。最后,通过将获得的结果与(f_v)、(T_0)和(E(m_lambda ))的最新参考数据进行比较,对AC-LII/SP-LII组合方法的准确性进行了评估。这一比较首次证明了AC-LII/SP-LII组合策略从单个LII设置中获得(f_v)、(T_0)和(E(m_lambda ))字段的可行性,一旦实施了拟议的背景减法程序来部分纠正“(f_v)异常”。
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引用次数: 0
Prevention of Yb adsorption by paraffin coating 石蜡涂层防止Yb吸附
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-21 DOI: 10.1007/s00340-025-08559-z
Kanta Asakawa, Taichi Kobayashi, Masami Yasuda, Takao Aoki, Atsushi Hatakeyama

Ytterbium (Yb) is used in cold-atom systems, including magneto-optical traps and optical lattice clocks. However, the long-term operation of such systems may be associated with substantial degradation of optical transmittance through vacuum chamber viewports due to Yb adsorption. Here, we show that coating the surface with tetracontane effectively suppresses such adsorption.

镱(Yb)用于冷原子系统,包括磁光阱和光学晶格钟。然而,这种系统的长期运行可能与通过真空室视口的光学透射率的实质性下降有关,这是由于Yb的吸附。在这里,我们发现在表面涂上四孔烷可以有效地抑制这种吸附。
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引用次数: 0
Geometric and dielectric engineering of linear optical response in CdS@Ag core–shell quantum dots: a theoretical study of plasmonic enhancement and host effects CdS@Ag核壳量子点线性光学响应的几何和介电工程:等离子体增强和宿主效应的理论研究
IF 2 3区 物理与天体物理 Q3 OPTICS Pub Date : 2025-10-16 DOI: 10.1007/s00340-025-08578-w
Shewa Getachew Mamo, Asmamaw Tesega Abebe

This study presents a comprehensive theoretical investigation into the linear optical properties of CdS@Ag core–shell quantum dots (CSQDs) embedded in various dielectric matrices. Using a quasi-static approximation and a Lorentz–Drude model for the silver shell, we examine how structural parameters core radius, shell thickness and host matrix permittivity modulate the optical response, including plasmonic field enhancement, refractive index behavior, absorption/scattering cross-sections and extinction cross-sections. Key findings reveal that increasing shell thickness significantly boosts both the local field enhancement factor and the absorption cross-section ((sigma _{text {abs}})), particularly in low-index hosts like PMMA. In contrast, increasing the core size results in a red-shift of the plasmon resonance while reducing field localization, highlighting a geometric trade-off between spectral tunability and optical intensity. Host permittivity also plays a crucial role: PMMA yields sharper and more intense plasmonic resonances, whereas (text {SiO}_2) and (text {Al}_{2} text {O}_3) broaden and blue-shift the spectral response due to enhanced dielectric screening. These results offer valuable design guidelines for optimizing CSQDs in applications such as nanophotonic circuits, nonlinear optical switching, and plasmon-enhanced sensors.

本文对嵌入不同介质矩阵中的CdS@Ag核壳量子点(CSQDs)的线性光学性质进行了全面的理论研究。利用银壳的准静态近似和洛伦兹-德鲁德模型,我们研究了结构参数核半径、壳层厚度和宿主矩阵介电常数如何调制光学响应,包括等离子体场增强、折射率行为、吸收/散射截面和消光截面。关键研究结果表明,增加壳体厚度可以显著提高局部场增强因子和吸收截面((sigma _{text {abs}})),特别是在PMMA等低指数寄主中。相反,增加核心尺寸会导致等离子体共振的红移,同时降低场局域化,突出了光谱可调性和光强度之间的几何权衡。宿主介电常数也起着至关重要的作用:PMMA产生更尖锐和更强烈的等离子体共振,而(text {SiO}_2)和(text {Al}_{2} text {O}_3)由于增强的介电屏蔽而使光谱响应变宽和蓝移。这些结果为在纳米光子电路、非线性光开关和等离子体增强传感器等应用中优化CSQDs提供了有价值的设计指导。
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引用次数: 0
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Applied Physics B
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