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Halvorsen chaotic system based microwave absorber modelling for fighter jet stealth technologies 基于哈尔沃森混沌系统的战斗机隐形技术微波吸收器建模
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-11 DOI: 10.1016/j.ijleo.2024.172075
Berker Colak , Muharrem Karaaslan , Fatih Ozkan Alkurt , Mehmet Bakir , Volkan Akdogan , Mertcan Oral , Ahmet Sertol Koksal
This study focuses on the development and detailed analysis of a broadband microwave absorber utilizing Halvorsen chaotic dynamics, that focuses at enhancing stealth capabilities for fighter jets. The investigation begins by exploring the mathematical formulation of the Halvorsen chaotic system and conducting a parametric sweep of its control parameters to generate distinct two-dimensional and three-dimensional chaotic attractor plots. These plots are then post-processed using Julia set theory to develop intricate fractal patterns, which serve as the foundation for the absorber design. Image processing techniques, including filtering and thresholding, are employed to refine the patterns by removing artifacts and noise, ensuring they are suitable for practical implementation. The refined fractal patterns are then imported into a computational electromagnetic simulation environment where they are patterned onto a 0.035 mm thick copper sheet. Moreover, the Magtrex 555 substrate with a thickness of 1.52 mm, is selected for its high permittivity and low-loss characteristics. A comprehensive series of parametric studies are conducted to evaluate the influence of various design parameters such as side length, unit cell geometry, and substrate thickness on the absorber’s electromagnetic performance. Important parameters include the effects of chaotic control parameter optimization and the electromagnetic boundary conditions applied during the simulations. Extensive simulations are performed across the 2–20 GHz frequency range to evaluate absorption efficiency, focusing on key metrics like absorptivity, surface current distribution, and electric field distribution. The final design achieves over 90 % absorption efficiency within the target frequency band when the chaotic control parameters are optimized. Finally, comparative analysis using different commercially available substrates, including FR-4 and Rogers RO3003, reveals that Magtrex 555 offers superior absorption performance. The study concludes with a detailed presentation of the final absorber design, alongside an indepth discussion of the frequency range, parametric variations, and the impact of chaotic system dynamics on the absorption properties. This research provides crucial insights into the design and optimization of chaotic-system-based microwave absorbers, that advances the development of stealth technology in military applications.
本研究的重点是开发和详细分析利用哈尔沃森混沌动力学的宽带微波吸收器,以增强战斗机的隐形能力。研究首先探索哈尔沃森混沌系统的数学公式,并对其控制参数进行参数扫描,以生成不同的二维和三维混沌吸引子图。然后利用朱莉娅集理论对这些图进行后处理,形成错综复杂的分形图案,作为吸收器设计的基础。图像处理技术包括滤波和阈值处理,通过去除伪影和噪音来完善图案,确保图案适合实际应用。然后,将细化的分形图案导入计算电磁仿真环境,并将其图案化到 0.035 毫米厚的铜片上。此外,我们还选择了厚度为 1.52 毫米的 Magtrex 555 衬底,因为它具有高介电常数和低损耗特性。我们进行了一系列全面的参数研究,以评估边长、单胞几何形状和衬底厚度等各种设计参数对吸收器电磁性能的影响。重要参数包括混沌控制参数优化的效果和模拟过程中应用的电磁边界条件。在 2-20 GHz 频率范围内进行了大量仿真,以评估吸收效率,重点关注吸收率、表面电流分布和电场分布等关键指标。在对混沌控制参数进行优化后,最终设计在目标频段内实现了超过 90% 的吸收效率。最后,使用不同市售基底(包括 FR-4 和罗杰斯 RO3003)进行的比较分析表明,Magtrex 555 具有更出色的吸收性能。研究最后详细介绍了最终的吸收器设计,并深入讨论了频率范围、参数变化以及混沌系统动力学对吸收特性的影响。这项研究为基于混沌系统的微波吸收器的设计和优化提供了重要见解,推动了军事应用中隐形技术的发展。
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引用次数: 0
Guiding properties of Bessel–Gaussian and super-Gaussian pulses in inhomogeneous parabolic plasma channels 不均匀抛物面等离子体通道中贝塞尔高斯和超高斯脉冲的导向特性
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-10 DOI: 10.1016/j.ijleo.2024.172071
E. Gholipoor , R. Fallah , S.M. Khorashadizadeh , A.R. Niknam
The guidance and stable propagation of laser pulses over many Rayleigh lengths are crucial for the plasma electron acceleration in the laser wakefield accelerators. Using plasma channels with specific characteristics can lead to the proper guidance of the laser pulse. Here, quasi-three-dimensional particle-in-cell (PIC) simulations are performed to investigate the guidance of Bessel–Gaussian pulse (BGP) of zeroth order and super-Gaussian pulse (SGP) of 3rd and 4th orders in an axially and radially inhomogeneous plasma channel. The effects of the channel radius and depth, the laser wavelength and initial spot size, and the plasma channel inhomogeneity on the guidance of the laser pulse are also examined. The results indicate that the guidance of a laser pulse in the plasma channel depends on the pulse profile, and under certain conditions, the pulses can be guided with the least variation of spot size in the inhomogeneous plasma channel. It is shown that the channel depth and the initial laser spot size are very effective in pulse guiding, as the values of these parameters increase, the pulse guidance is done better. In addition, the results show that the guidance of laser pulse is dependent on the type of plasma inhomogeneity represented by three different kinds of initial conditions, as considering the nonlinear-axial inhomogeneity in the parabolic plasma channel can lead to more convergence than the axially homogeneous and linear-axially plasma density profiles.
激光脉冲在许多瑞利长度上的引导和稳定传播对于激光汪场加速器中的等离子体电子加速至关重要。使用具有特定特性的等离子体通道可以正确引导激光脉冲。在此,我们进行了准三维粒子入胞(PIC)模拟,研究了在轴向和径向不均匀等离子体通道中,第零阶贝塞尔-高斯脉冲(BGP)和第3、4阶超高斯脉冲(SGP)的引导问题。此外,还研究了通道半径和深度、激光波长和初始光斑大小以及等离子体通道不均匀性对激光脉冲引导的影响。结果表明,激光脉冲在等离子体通道中的引导取决于脉冲轮廓,在特定条件下,脉冲在非均质等离子体通道中的光斑尺寸变化最小。研究表明,通道深度和初始激光光斑尺寸对脉冲引导非常有效,随着这些参数值的增加,脉冲引导效果会更好。此外,研究结果表明,激光脉冲的引导与三种不同的初始条件所代表的等离子体不均匀性类型有关,因为在抛物线等离子体通道中考虑非线性轴向不均匀性比轴向均匀和线性轴向等离子体密度剖面更容易收敛。
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引用次数: 0
Enhanced conversion efficiency enabled with natural dyes extracted from Mirabilis flower and Bixa seed revealing prospects of application of co-sensitized DSSC 利用从美丽花和碧沙籽中提取的天然染料提高转换效率,揭示共敏化 DSSC 的应用前景
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-10 DOI: 10.1016/j.ijleo.2024.172072
Ishwar Chandra Maurya, Shalini Singh, Shubham Sharma, Shiva Prakash Singh Kushwaha, Pankaj Srivastava, Lal Bahadur
In this report, we present the studies on co-sensitization effects of two natural dyes extracted from Mirabilis flower and Bixa seeds on TiO2-based dye-sensitized solar cells (DSSC). The objective is to extend the spectral sensitivity and light-to-electrical energy conversion efficiency of the selected dyes. UV–visible absorption within the 480–580 nm and 400–500 nm range signify anthocyanin in Mirabilis flower and carotenoid in Bixa seed respectively. Bixa seed and Mirabilis flower extracted mixed natural dye exhibited absorption in 400–600 nm range. The study further established the co-sensitization through computational studies and electrochemical impedance spectroscopy (EIS) studies. With the use of Bixa seed and Mirabilis flower extracted dye, photovoltaic parameter short-circuit current density (Jsc) & conversion efficiency (η) were observed 0.20 mA/cm2, 0.44 mA/cm2 and 0.09 % 0.38 % respectively. The Bixa seed and Mirabilis flower extracts co-sensitized DSSC revealed enhanced Jsc 0.65 mA/cm2 and η 0.40 %.
在本报告中,我们介绍了从美丽花和碧沙籽中提取的两种天然染料对基于二氧化钛的染料敏化太阳能电池(DSSC)的共敏化效应研究。目的是提高所选染料的光谱灵敏度和光-电能转换效率。在 480-580 纳米和 400-500 纳米范围内的紫外可见光吸收分别表示 Mirabilis 花中的花青素和 Bixa 种子中的类胡萝卜素。碧沙籽和海芋花提取的混合天然染料在 400-600 纳米范围内有吸收。该研究通过计算研究和电化学阻抗光谱(EIS)研究进一步确定了共敏化作用。使用碧沙籽和海芋花提取的染料后,光伏参数短路电流密度(Jsc)和amp;转换效率(η)分别为 0.20 mA/cm2、0.44 mA/cm2 和 0.09 % 0.38 %。Bixa 种子和 Mirabilis 花提取物共同敏化的 DSSC 显示出更高的 Jsc 0.65 mA/cm2 和 η 0.40 %。
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引用次数: 0
A novel feature screening algorithm for low-resolution LIBS spectrum elemental quantification 用于低分辨率 LIBS 光谱元素定量的新型特征筛选算法
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-09 DOI: 10.1016/j.ijleo.2024.172069
Yunfeng Bi , Xiaohan Bai , Chao Li , Tao Zhang , Zhongyi Bao , Meili Guo , Man Wang , Zhengjiang Ding
This study presents an innovative approach that integrates Laser-Induced Breakdown Spectroscopy (LIBS) with chemometrics for the quantitative analysis of Si, Ca, Al, and Mg in geological samples. Given the spectral redundancy in low-resolution LIBS devices, the study employs pre-processing techniques, such as AirPLS, Wavelet Transform (WT), and normalization to mitigate spectral noise. Enhanced feature threshold searching is achieved by incorporating SHapley Additive exPlanations (SHAP) and LightGBM into the Boruta algorithm, substantially improving quantitative analysis models based on Support Vector Regression (SVR) and Partial Least Squares Regression (PLSR). The modified Boruta-SVR model demonstrated remarkable robustness, with R2 values of 0.9862, 0.9873, 0.9882, and 0.9916, and RMSE values of 0.8099, 0.324, 0.1378, and 0.2382, respectively, for Si, Ca, Al, and Mg. The results confirm that the Boruta-based feature selection method, when applied to low-resolution LIBS spectra, outperforms traditional methods, capturing unique sample features under mixed spectral peak conditions, thereby enhancing the robustness of quantitative analysis models.
本研究提出了一种创新方法,将激光诱导击穿光谱(LIBS)与化学计量学相结合,对地质样品中的硅、钙、铝和镁进行定量分析。鉴于低分辨率激光诱导击穿光谱仪存在光谱冗余,该研究采用了 AirPLS、小波变换 (WT) 和归一化等预处理技术来减轻光谱噪声。通过将 SHapley Additive exPlanations(SHAP)和 LightGBM 纳入 Boruta 算法,实现了增强的特征阈值搜索,大大改进了基于支持向量回归(SVR)和部分最小二乘法回归(PLSR)的定量分析模型。改进后的 Boruta-SVR 模型具有显著的鲁棒性,对 Si、Ca、Al 和 Mg 的 R2 值分别为 0.9862、0.9873、0.9882 和 0.9916,RMSE 值分别为 0.8099、0.324、0.1378 和 0.2382。结果证实,基于 Boruta 的特征选择方法在应用于低分辨率 LIBS 光谱时优于传统方法,能捕捉混合光谱峰条件下独特的样品特征,从而提高定量分析模型的稳健性。
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引用次数: 0
Effect of current spreading layer on Internal Quantum efficiency and optical power of flip chip gallium nitride LEDs with circular contacts 电流扩散层对带圆形触点的倒装芯片氮化镓 LED 内部量子效率和光功率的影响
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-09 DOI: 10.1016/j.ijleo.2024.172073
Y. Prasamsha , N. Mohankumar , M. Arun Kumar , P. Sriramani , H. Maity , Nitin Rakesh
The unique properties of the Indium Tin Oxide (ITO) make it an excellent choice as a current spreading layer in Flip Chip Light Emitting Diodes (FCLEDs) and other optoelectronic devices. Herein, the performance of FCLEDs is analyzed by a precise mathematical model for the current spreading length (Ls) produced by the ITO layer under circular-shaped contacts. The expressions are formulated without approximations using ABC-model for extracting the Internal Quantum Efficiency (IQE, ηint), optical power (Pint) and Emission Intensity (EI). The thickness (tITO) and resistivity (ρITO) of the ITO layer are varied for different current densities, and their adverse effects on IQE are determined. At lower current densities, IQE increases with thickness and decreases for high resistivity of the ITO layer. At higher current densities, there is a gradual decrease in IQE irrespective of the ITO layer presence due to “Efficiency Droop”. The IQE in the proposed work is 82 % at a thickness of 50–200 nm and current density of 8 A/cm2, and the optical power is around 40 mW, showing good agreement with the experimental data, making it feasible for future high-performance FCLEDs.
氧化铟锡(ITO)的独特性质使其成为倒装芯片发光二极管(FCLED)和其他光电设备中电流扩散层的绝佳选择。本文通过一个精确的数学模型来分析 FCLED 的性能,即在圆形触点下 ITO 层产生的电流扩散长度 (Ls)。在提取内部量子效率 (IQE,ηint)、光功率 (Pint) 和发射强度 (EI) 时,使用 ABC 模型无近似地列出了表达式。在不同的电流密度下,改变 ITO 层的厚度(tITO)和电阻率(ρITO),并确定它们对 IQE 的不利影响。在电流密度较低时,IQE 随厚度增加而增加,而在 ITO 层电阻率较高时,IQE 则随厚度增加而减少。在较高的电流密度下,由于 "效率下降 "的原因,无论是否存在 ITO 层,IQE 都会逐渐下降。在厚度为 50-200 nm、电流密度为 8 A/cm2 的情况下,所提出的工作的 IQE 为 82%,光功率约为 40 mW,与实验数据显示出良好的一致性,使其成为未来高性能 FCLED 的可行方案。
{"title":"Effect of current spreading layer on Internal Quantum efficiency and optical power of flip chip gallium nitride LEDs with circular contacts","authors":"Y. Prasamsha ,&nbsp;N. Mohankumar ,&nbsp;M. Arun Kumar ,&nbsp;P. Sriramani ,&nbsp;H. Maity ,&nbsp;Nitin Rakesh","doi":"10.1016/j.ijleo.2024.172073","DOIUrl":"10.1016/j.ijleo.2024.172073","url":null,"abstract":"<div><div>The unique properties of the Indium Tin Oxide (ITO) make it an excellent choice as a current spreading layer in Flip Chip Light Emitting Diodes (FCLEDs) and other optoelectronic devices. Herein, the performance of FCLEDs is analyzed by a precise mathematical model for the current spreading length (L<sub>s</sub>) produced by the ITO layer under circular-shaped contacts. The expressions are formulated without approximations using ABC-model for extracting the Internal Quantum Efficiency (IQE, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>int</mi></mrow></msub></math></span>), optical power (P<sub>int</sub>) and Emission Intensity (EI). The thickness <span><math><mrow><mo>(</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>I</mi><mi>T</mi><mi>O</mi></mrow></msub><mo>)</mo></mrow></math></span> and resistivity <span><math><mrow><mo>(</mo><msub><mrow><mi>ρ</mi></mrow><mrow><mi>I</mi><mi>T</mi><mi>O</mi></mrow></msub><mo>)</mo></mrow></math></span> of the ITO layer are varied for different current densities, and their adverse effects on IQE are determined. At lower current densities, IQE increases with thickness and decreases for high resistivity of the ITO layer. At higher current densities, there is a gradual decrease in IQE irrespective of the ITO layer presence due to “Efficiency Droop”. The IQE in the proposed work is 82 % at a thickness of 50–200 nm and current density of 8 A/cm<sup>2</sup>, and the optical power is around 40 mW, showing good agreement with the experimental data, making it feasible for future high-performance FCLEDs.</div></div>","PeriodicalId":19513,"journal":{"name":"Optik","volume":"317 ","pages":"Article 172073"},"PeriodicalIF":3.1,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142445024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flat mirrors, virtual rear-view cameras, and camera-mirror calibration 平视后视镜、虚拟后视摄像头和摄像头-后视镜校准
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-05 DOI: 10.1016/j.ijleo.2024.172067
Rigoberto Juarez-Salazar
Flat mirrors are useful to generate virtual cameras and capture a scene from multiple viewpoints. However, the resultant camera-mirror setup is cumbersome to calibrate because of the mirror image reversion. The typical calibration flaws are omitting the checkerboard symmetry and assuming that virtual cameras are front-view. This paper explains the rear-view abstraction and its usefulness in calibrating a camera-mirror setup to obtain the equivalent mirrorless configuration. The underlying theory is reviewed, including camera imaging, the calibration process, and the laws of reflection. The proposed approach is illustrated by calibrating a camera-mirror setup and then using the calibrated camera to generate mirror images synthetically. This work offers a practical insight into calibrating more sophisticated systems such as mirrored camera-projector profilometers.
平面镜可用于生成虚拟摄像机,并从多个视角捕捉场景。然而,由于镜像还原的原因,由此产生的相机-镜子设置校准起来非常麻烦。典型的校准缺陷是忽略棋盘对称性和假设虚拟摄像头为前视角。本文解释了后视抽象概念及其在校准相机-镜子设置以获得等效无反光镜配置中的作用。本文回顾了基本理论,包括相机成像、校准过程和反射定律。通过校准照相机-镜子装置,然后使用校准后的照相机合成镜像,说明了所提出的方法。这项工作为校准更复杂的系统(如镜像相机-投影仪轮廓仪)提供了实用的见解。
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引用次数: 0
Novel carboxylic-MWCNTs photoresist for fabricating sub-diffraction polymer nanowires via STED lithography 通过 STED 光刻技术制造亚衍射聚合物纳米线的新型羧基-MWCNTs 光刻胶
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-05 DOI: 10.1016/j.ijleo.2024.172070
Fei Xie , Lili Liang , Qingbin Zhou , Ziwei Feng , Jian Xu , Xiangping Li , Yaoyu Cao
A novel composite photoresist, derived from acrylates and carboxylic-functionalized multi-walled carbon nanotubes (MWNTs-COOH), has been developed for the fabrication of sub-diffraction-sized polymer nanowires using STED-inspired lithography. The MWNTs-COOH dispersed in highly cross-linking acrylate monomers benefits to a reduced inhibition laser power for improving lithography. With the MWNTs-COOH, the inhibition laser power is decreased from 5 mW to 3 mW, while the achievable minimum feature size is increased from 121 nm to 48 nm. This innovative approach holds significant promise for the development of sub-diffraction MWCNTs/polymer composite-based devices in the fields of Micro-Electro-Mechanical Systems (MEMS) and Nano-Electro-Mechanical Systems (NEMS).
我们开发了一种新型复合光刻胶,由丙烯酸酯和羧基官能化多壁碳纳米管(MWNTs-COOH)制成,用于利用 STED 启发的光刻技术制造亚衍射尺寸的聚合物纳米线。分散在高交联丙烯酸酯单体中的 MWNTs-COOH 可降低抑制激光功率,从而改善光刻效果。使用 MWNTs-COOH 后,抑制激光功率从 5 mW 降至 3 mW,而可实现的最小特征尺寸从 121 nm 增至 48 nm。这种创新方法为微机电系统(MEMS)和纳米机电系统(NEMS)领域基于亚衍射 MWCNTs/聚合物复合材料的设备开发带来了巨大前景。
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引用次数: 0
Improving multi-wavelength overlay measurement time by the development of color-mixing light source 通过开发混色光源缩短多波长叠加测量时间
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-03 DOI: 10.1016/j.ijleo.2024.172066
Hung-Chih Hsieh, Yi-Xian Peng, Liang-Rong Chen
This paper introduces an innovative approach to streamline the time-consuming process of multiple-wavelength measurement in semiconductor overlay metrology. To achieve this, a color-mixing light source was developed, which employed light sources of different wavelengths, each modulated with different sine wave frequencies. By aligning these sources and directing them simultaneously onto the test sample, we mixed all wavelength information into a single test signal. Leveraging the known modulation frequencies, we can accurately extract the amplitudes of each wavelength using a three-parameter sine wave fitting method. These amplitudes effectively represent the sought-after signal for each wavelength. A 4-wavelength mixed light source was developed to demonstrate this method's feasibility. Compared with the intensities received independently for each wavelength, the reconstructed amplitude error was below 5 %. Finally, in the test of multiple-wavelength overlay measurement, the overlay difference between this and traditional methods was only 0.078 nm. The experimental results confirm that this method enables a reduction in the measurement time for multiple wavelengths from 0.8 sec to 0.2 sec, i.e., a 75 % reduction).
本文介绍了一种创新方法,以简化半导体叠层计量中耗时的多波长测量过程。为此,我们开发了一种混色光源,该光源采用不同波长的光源,每个光源以不同的正弦波频率调制。通过对准这些光源并同时将其照射到测试样品上,我们将所有波长信息混合到一个测试信号中。利用已知的调制频率,我们可以使用三参数正弦波拟合方法精确提取每个波长的振幅。这些振幅有效地代表了每个波长所需的信号。为了证明这种方法的可行性,我们开发了一种 4 波长混合光源。与每个波长独立接收的强度相比,重建的振幅误差低于 5%。最后,在多波长叠加测量测试中,该方法与传统方法的叠加差仅为 0.078 nm。实验结果证实,这种方法可将多波长测量时间从 0.8 秒缩短到 0.2 秒,即缩短 75%)。
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引用次数: 0
A high-resolution spectroscopic technique for the analysis of the external quantum efficiency of a multimode semiconductor laser 用于分析多模半导体激光器外部量子效率的高分辨率光谱技术
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-02 DOI: 10.1016/j.ijleo.2024.172068
Watheq Al-Basheer , Taofeek O. Adigun , Abdulaziz Aljalal , Khaled Gasmi
The high-resolution emission spectra of a GaN-based semiconductor laser were utilized to investigate the external differential quantum efficiency variation with temperature and stability over an extended period of continuous operation time. Moreover, the dynamics and evolution of the optical gain and longitudinal modes emitted both below and above threshold current were also reported. Upon studying the L-I curves over the full range of operating current and temperature, three distinct temperature regimes of the quantum efficiency were identified, with the regime of the temperature range 285–301 K yielding the highest stability. The thermal stability of the laser was also assessed by monitoring the variation of threshold current with temperature.
利用氮化镓基半导体激光器的高分辨率发射光谱,研究了外差量子效率随温度变化的情况,以及长时间连续工作的稳定性。此外,还报告了在阈值电流以下和阈值电流以上发射的光学增益和纵向模式的动态和演变。在对整个工作电流和温度范围内的 L-I 曲线进行研究后,确定了量子效率的三个不同温度区,其中 285-301 K 温度区的稳定性最高。通过监测阈值电流随温度的变化,还评估了激光器的热稳定性。
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引用次数: 0
Breather–breather interactions, rational and semi-rational solutions of an integrable spin system in optical fibers 呼吸器-呼吸器相互作用、光纤中可积分自旋系统的有理解和半有理解
IF 3.1 3区 物理与天体物理 Q2 Engineering Pub Date : 2024-10-01 DOI: 10.1016/j.ijleo.2024.172064
Qin-Ling Liu , Yan-Nan Zhao , Hui-Qin Hao
This paper investigates an integrable spin system (or Heisenberg ferromagnet-type equation or Nurshuak-IIA equation) which is an integrable generalization of the Heisenberg ferromagnet equation that raises from magneto-optical devices. The N-fold Darboux transformation of the Nurshuak-IIA equation will be constructed. With the selection of several parameters, a variety of the solutions will be produced, including breather–breather interactions, higher-order rogue waves and semi-rational solutions.
本文研究一个可积分自旋系统(或海森堡铁磁体型方程或努尔舒亚克-IIA方程),它是海森堡铁磁体方程的可积分广义化,从磁光设备中产生。我们将构建努尔舒亚克-IIA方程的 N 倍达尔布克斯变换。通过选择几个参数,将产生各种解,包括呼吸器-呼吸器相互作用、高阶流氓波和半理性解。
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引用次数: 0
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