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GRIN(Gradient Index)介质中的Maxwell方程组与光线光学 被引量:1
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作者 郭守月 袁兴红 +2 位作者 穆姝慧 周倩 冯克成 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2011年第4期72-75,共4页
利用坡印廷矢量(Poynting vector)的方向就是光线轨迹曲线的切线方向,推出程函方程(Eikonal equation)的矢量式.经分析发现此式包含了光的粒子性与光的波动性因素,光线的传播规律还受介质折射率函数的制约.再由程函方程进一步推得光线方... 利用坡印廷矢量(Poynting vector)的方向就是光线轨迹曲线的切线方向,推出程函方程(Eikonal equation)的矢量式.经分析发现此式包含了光的粒子性与光的波动性因素,光线的传播规律还受介质折射率函数的制约.再由程函方程进一步推得光线方程,并给出了应用实例. 展开更多
关键词 光线光学 光线方程 坡印廷矢量 变折射率介质 程函方程
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Gradient Index in Wear Debris Image Collection 被引量:1
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作者 吕植勇 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2004年第B10期55-58,共4页
In order to solve a problem of oil on-line monitoring,this instrument adopts a principium of self-focus lens of Gradient index fiber(GRIN Len)to design optics system and magnetic circuit.For the magnetic circuit,the m... In order to solve a problem of oil on-line monitoring,this instrument adopts a principium of self-focus lens of Gradient index fiber(GRIN Len)to design optics system and magnetic circuit.For the magnetic circuit,the monitor can catch particle wear debris in oil.And for the optics circuit.GRIN Len can transfer image of debris to apparatus of gather image,e.g,CCD and camera.And the image of debris is transferred to computer for analyzing seize and physiognomy of debris.The character of the monitor is of micro weight,micro volume and curve imaging.And it is directly pluged into oil to catch image of wear particles. 展开更多
关键词 gradient index wear debris image collection
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Studies on the Preparation of Polymer Spherical Symmetry GRIN Sphere and Controlling its Gradient Index Distribution
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作者 RuXIA YuChuanZHANG +3 位作者 YouMinYI ShiWeiSHI QunYANG QiangYU 《Chinese Chemical Letters》 SCIE CAS CSCD 2004年第5期555-558,共4页
In this paper, a polymer spherical symmetry GRIN sphere lens were prepared by the suspension-diffusion-copolymerization(SDC) technique, selecting methyl methacrylate(MMA) as monomer M1 and acrylic 2,2,2-trifluoroethyl... In this paper, a polymer spherical symmetry GRIN sphere lens were prepared by the suspension-diffusion-copolymerization(SDC) technique, selecting methyl methacrylate(MMA) as monomer M1 and acrylic 2,2,2-trifluoroethyl ester(3FEA) as M2. The radial distribution of refractive index of the lens was measured by the shearing interference method, which demonstrated that the quadratic refractive-index distribution was formed in the sphere lens, and its Δn=0.019. 展开更多
关键词 Suspension-diffusion-copolymerization(SDC) gradient refractive index (GRIN) spherical symmetry GRIN distribution shearing interferometric technique.
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Signal Efficiency in Gradient Index Lens Based Two Photon Microscopy
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作者 Axel Wingert Henning Seim +2 位作者 Sebastian Schürmann Rainer H. A. Fink Martin Vogel 《Open Journal of Biophysics》 2013年第1期43-50,共8页
Gradient index (GRIN) lenses are often used as an optical relay to a sample at a location that is not accessible for a standard microscope. This capability is turning them into an important enabling technology that ex... Gradient index (GRIN) lenses are often used as an optical relay to a sample at a location that is not accessible for a standard microscope. This capability is turning them into an important enabling technology that extends many optical imaging modalities like harmonic laser scanned imaging with micro endoscopic in vivo capabilities as needed in research and diagnostics. These micro endoscopic imaging variants however rely on the light scattering capability of the underlying tissue. Further complications arise from an increased number of optical interfaces and the overall optical performance of a GRIN rod. We have therefore performed a quantitative comparison of the back-scattered second harmonic generation (SHG) signal intensity generated in skin and low-scattering muscle tissue, both obtained with a standard two photon laser scanning microscope (LSM) and a GRIN lens based LSM. We report that the GRIN lens based system sees approximately 1/4 of the net two photon signal detected by the standard LSM. We expect that this value can be generalized to other LSM techniques enhanced by GRIN technology and encourage its use in experimental situations with standard LSM signal to noise ratios of four or higher. 展开更多
关键词 Second HARMONIC Generation gradient index LENS Multi PHOTON MICROSCOPY Multi HARMONIC MICROSCOPY Micro-Endoscopy
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Digital light processing 3D printing of ceramics for W-band gradient refractive index metalens
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作者 Wuzhao Li Siqian Wu +2 位作者 Jin Chen Rong Wang Qi Ge 《International Journal of Extreme Manufacturing》 2026年第1期601-616,共16页
Gradient refractive index(GRIN)metalenses are increasingly valued in high-frequency communication due to their exceptional radiation performance.Ceramics with high dielectric constants and low dielectric losses are id... Gradient refractive index(GRIN)metalenses are increasingly valued in high-frequency communication due to their exceptional radiation performance.Ceramics with high dielectric constants and low dielectric losses are ideal candidates for GRIN metalenses.Digital light processing(DLP)3D printing provides a feasible and efficient approach for manufacturing ceramic GRIN metalenses.However,the scattering of ultraviolet(UV)light by ceramic particles in the slurry reduces the printing accuracy of DLP technology,making it difficult to achieve the intricate structural features required for GRIN metalenses in high-frequency communication.In this work,we propose an approach to improve printing accuracy by optimizing the ceramic slurry composition and implementing a dimensional compensation design strategy.Utilizing geometric optics and the S-parameter inversion method,we design a GRIN metalens consisting of two distinct types of subwavelength unit cells(Y-shaped and circular hole geometries)with a minimum feature size of 160μm.Through a refined slurry formulation and precise design parameter compensation,high-fidelity ceramic GRIN metalenses are successfully fabricated.The fabricated metalens exhibits a maximum gain enhancement of 18.4 dBi and a deflection angle of±30°over a bandwidth of 37.84% in the W-band(75-110 GHz).The highly directional far-field beam radiation and efficient beam steering capabilities highlight the potential of ceramic GRIN metalenses for applications in satellite communications,radar systems,and other high-frequency technologies. 展开更多
关键词 3D printing CERAMICS digital light processing gradient refractive index metalens
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Corrective Plate With a Gradient Index Media in the Catadioptiric System
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作者 Qiao Yatian (Xian Institute of Posts and Telecommunications,Xian 710061, P. R. China) 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 1994年第1期57-59,共3页
In this paper a gradient index media plate is described. The media plate has some properties similar to the Schmidt aspherical corrective plate. In the catadioptiric system,Duncan T. Moors has studied a axial gradien... In this paper a gradient index media plate is described. The media plate has some properties similar to the Schmidt aspherical corrective plate. In the catadioptiric system,Duncan T. Moors has studied a axial gradient index corrective plate and gave a better result. His plate,in fact,is a zero power plate with two Spherical surfaces of different radius of curvature. However ,my plate is a parallel plate designed forth a shallow radial gradient index media. The spherical aberration of the gradient index corrector with parallel plane ed eliminate the spherical aberration of the spherical primary mirror in the catadioptiric system. In this paper the aberrational correction is analyzed. In the conventional optical systems,this gradient index plate is used to provide the precorrectional quantity of the spherical aberration of the optical lee systems. The refractive index in such a media in the lens systems is given in the same way. 展开更多
关键词 gradient index optics Corrective plate with gradient index media
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Integrated photonic systems based on transformation optics enabled gradient index devices 被引量:8
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作者 Qi Wu Jeremiah P Turpin Douglas H Werner 《Light: Science & Applications》 SCIE EI CAS 2012年第1期11-16,共6页
Integrated photonics is expected to play an increasingly important role in optical communications,imaging,computing and sensing with the promise for significant reduction in the cost and weight of these systems.Future... Integrated photonics is expected to play an increasingly important role in optical communications,imaging,computing and sensing with the promise for significant reduction in the cost and weight of these systems.Future advancement of this technology is critically dependent on an ability to develop compact and reliable optical components and facilitate their integration on a common substrate.Here we reveal,with the utility of the emerging transformation optics technique,that functional components composed of planar gradient index materials can be designed and readily integrated into photonic circuits.The unprecedented design flexibility of transformation optics allows for the creation of a number of novel devices,such as a light source collimator,waveguide adapters and a waveguide crossing,which have broad applications in integrated photonic chips and are compatible with current fabrication technology.Using the finite-difference time-domain method,we perform full-wave numerical simulations to demonstrate their superior optical performance and efficient integration with other components in an on-chip photonic system.These components only require spatially-varying dielectric materials with no magnetic properties,facilitating low-loss,broadband operation in an integrated photonic environment. 展开更多
关键词 gradient index material integrated photonic system quasi-conformal mapping transformation optics
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An acoustic Maxwell's fish-eye lens based on gradient-index metamaterials 被引量:2
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作者 袁保国 田野 +1 位作者 程营 刘晓峻 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第10期178-181,共4页
We have proposed a two-dimensional acoustic Maxwell’s fish-eye lens by using the gradient-index metamaterials with space-coiling units. By adjusting the structural parameters of the units, the refractive index can be... We have proposed a two-dimensional acoustic Maxwell’s fish-eye lens by using the gradient-index metamaterials with space-coiling units. By adjusting the structural parameters of the units, the refractive index can be gradually varied, which is key role to design the acoustic fish-eye lens. As predicted by ray trajectories on a virtual sphere, the proposed lens has the capability to focus the acoustic wave irradiated from a point source at the surface of the lens on the diametrically opposite side of the lens. The broadband and low loss performance is further demonstrated for the lens. The proposed acoustic fish-eye lens is expected to have the potential applications in directional acoustic coupler or coherent ultrasonic imaging. 展开更多
关键词 gradient index Maxwell's fish-eye acoustic lens BROADBAND
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Asymmetric transmission of acoustic waves in a waveguide via gradient index metamaterials 被引量:6
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作者 Wen-Kang Cao Li-Ting Wu +4 位作者 Cheng Zhang Jun-Chen Ke Qiang Cheng Tie-Jun Cui Yun Jing 《Science Bulletin》 SCIE EI CAS CSCD 2019年第12期808-813,共6页
We demonstrate that asymmetric acoustic wave transmission in a waveguide can be achieved via gradient index metamaterials(GIMs). We theoretically prove that the acoustic wave can be efficiently converted to surface wa... We demonstrate that asymmetric acoustic wave transmission in a waveguide can be achieved via gradient index metamaterials(GIMs). We theoretically prove that the acoustic wave can be efficiently converted to surface waves(SWs) via GIMs. The GIMs in a waveguide can allow the transmission of acoustic waves in one direction but block them in the other direction. This theory is validated by experiments. Our findings may provide new applications in various scenarios such as high-efficiency acoustic couplers and noise control. 展开更多
关键词 ASYMMETRIC TRANSMISSION Surface waves gradient index METAMATERIALS WAVEGUIDE
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Controlling an acoustic wave with a cylindrically-symmetric gradient-index system 被引量:2
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作者 张哲 李睿奇 +2 位作者 梁彬 邹欣晔 程建春 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第2期259-262,共4页
We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways.Th... We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways.The trajectory of an acoustic wave within the system is derived by employing the theory of geometric acoustics,and the validity of the theoretical descriptions is verified numerically by using the finite element method simulation.The results show that by tailoring the distribution function of the refractive index,the proposed system can yield a tunable manipulation of acoustic waves,such as acoustic bending,trapping,and absorbing. 展开更多
关键词 gradient-index media wave propagation acoustic refractive index wave manipulation
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A Study on Gradient Refractive Index Polymer Rods——Mechanism of Diffusion-Copolymerization of Diallyl Phthalate-Methyl Methacrylate
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作者 葛炳恒 周馨我 《Journal of Beijing Institute of Technology》 EI CAS 1992年第1期19-23,共5页
The gel rod, partially polymerized DAP (diallyl phthalate), is immersed in MMA (methyl methacrylate) solution, followed by heat-treatment to yield the GRIN (gradient ref- ractive index) rod. A three-stage mechanism of... The gel rod, partially polymerized DAP (diallyl phthalate), is immersed in MMA (methyl methacrylate) solution, followed by heat-treatment to yield the GRIN (gradient ref- ractive index) rod. A three-stage mechanism of diffusion-copolymerization process is propo- sed, giving an interpretation to the formation of cracks that are brought about in large-dia- meter GRIN rods. 展开更多
关键词 polmer self-focusing/gradient refractive index diffusion-copolymerization GRIN poymr rod
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Numerical simulation of a gradient-index fibre probe and its properties of light propagation
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作者 王驰 毛幼馨 +3 位作者 唐智 方臣 于瀛洁 齐博 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第11期332-338,共7页
In order to verify the properties of the light propagating through a gradient-index (GRIN) fibre probe for optical coherence tomography (OCT), numerical simulation using the optical software GLAD is carried out. F... In order to verify the properties of the light propagating through a gradient-index (GRIN) fibre probe for optical coherence tomography (OCT), numerical simulation using the optical software GLAD is carried out. Firstly, the model of the GRIN fibre probe is presented, which is consisted of a single mode fibre (SMF), a no-core fibre (NCF), a GRIN fibre lens and an air path. Then, the software GLAD is adopted to numerically investigate how the lengths of the NCF and the GRIN fibre lens influence the performance of the Gaussian beam focusing through the GRIN fibre probe. The simulation results are well consistent with the experimental ones, showing that the GLAD based numerical simulation technique is an intuitive and effective tool for the verification of the properties of the light propagation. In this paper, we find that on the conditions of a constant GRIN fibre lens length of 0.1 mm and an NCF length of 0.36 mm, the working distance of the probe will be 0.75 mm and the focus spot size is 32 μm. 展开更多
关键词 optical coherence tomography gradient-index fibre probe gradient-index lens GLAD
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Derivation of General Formula for Coupling Loss of Single-mode Fiber Collimators with Gradient-index Rod Lenses
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作者 XIE Hu, LUO Feng guang, CAO Ming cui, YUAN Jing, WAN Zhu jun (State Key Lab.of Laser Technol.,Huazhong University of Sci.& Technol.,Wuhan 430074,CHN) 《Semiconductor Photonics and Technology》 CAS 2003年第4期215-220,共6页
Gradient-index rod lens (GRIN-lens) whose pitch is ordinary value with bevel ferrule coupling system is analyzed, an equivalent method which can be used to analyze this system is put forward, and a general formula for... Gradient-index rod lens (GRIN-lens) whose pitch is ordinary value with bevel ferrule coupling system is analyzed, an equivalent method which can be used to analyze this system is put forward, and a general formula for determining the coupling loss with axes mismatch, radial mismatch, and angular mismatch is derived by use of the Gaussian field approximation and mode-field coupling theory. The experimental results are in good agreement with the theory prediction. It indicates that these formulas are suitable to analyze the gradient-index rod lens coupling system with pigtail fiber. 展开更多
关键词 gradientindex rod lens single―mode fiber coupling loss COLLIMATOR
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Aplanatic and Telescopic Lens with a Radial Gradient of Refraction Index
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作者 Vladimir Ivanovich Tarkhanov 《Optics and Photonics Journal》 2013年第7期351-359,共9页
It is shown that aplanatic lens with a radial gradient of refraction index is simultaneously a telescopic lens, notably not only for an axial beam, but also for an off axis parallel beam. Consideration is carried out ... It is shown that aplanatic lens with a radial gradient of refraction index is simultaneously a telescopic lens, notably not only for an axial beam, but also for an off axis parallel beam. Consideration is carried out by an algebraic way on the basis of regularities of ray paths. It is also shown that aplanatic and telescopic properties of the lens are independent of the refracting surface shapes. Various versions of lens performance are shown below. 展开更多
关键词 Aplanatic LENS TELESCOPIC LENS RADIAL gradient REFRACTION index
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梯度同位素掺杂平板间近场辐射换热特性
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作者 原伟哲 崔贵成 +1 位作者 周承隆 易红亮 《工程热物理学报》 北大核心 2026年第1期292-300,共9页
本文研究了梯度同位素掺杂平板间近场辐射特性,相较于同位素富集的均匀介质,梯度同位素掺杂介质能够在小间距时增强近场辐射换热并出现内部吸收峰。此外,本文发现了沿厚度方向质量递增的体系随渐变层厚度增加,换热先增强后减弱,而质量... 本文研究了梯度同位素掺杂平板间近场辐射特性,相较于同位素富集的均匀介质,梯度同位素掺杂介质能够在小间距时增强近场辐射换热并出现内部吸收峰。此外,本文发现了沿厚度方向质量递增的体系随渐变层厚度增加,换热先增强后减弱,而质量递减的体系出现先减弱后增强再减弱的趋势,表现出不同的依赖关系。本工作还揭示了同位素散射的增大能够在较大渐变层厚度时增强换热。本文对同位素工程在热管理中的应用具有一定的指导意义。 展开更多
关键词 近场辐射传热 同位素工程 梯度折射率 内部激元
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西藏亚高山森林土壤种子库与地上植被群落的海拔梯度分异特征
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作者 邓炜展 张艳 +5 位作者 王彬 袁旭 彭李 冀晓东 周金星 张喆 《北京林业大学学报》 北大核心 2026年第1期119-128,共10页
【目的】土壤种子库是植被群落更新与演替的潜在种源储备,研究亚高山森林生态系统中土壤种子库的分布特征及其与地上植被的关联,有助于评估生态系统的自然恢复潜力,为群落重建与生态修复实践提供科学依据。【方法】以西藏林芝市巴宜区海... 【目的】土壤种子库是植被群落更新与演替的潜在种源储备,研究亚高山森林生态系统中土壤种子库的分布特征及其与地上植被的关联,有助于评估生态系统的自然恢复潜力,为群落重建与生态修复实践提供科学依据。【方法】以西藏林芝市巴宜区海拔2300~3300 m的亚高山森林区为研究对象,采用样方法进行地上植被调查与土壤采样,并通过萌发法分析土壤种子库的物种组成、生活型构成及密度分布特征。【结果】(1)土壤种子库中共萌发30种植物,分属15科27属,主要为一年生或多年生草本植物,物种组成较地上植被群落更为单一。(2)随着海拔升高,土壤种子库与地上植被的物种丰富度均呈现“先增后降”的趋势,多年生草本植物比例增加,表现出对高海拔环境的较强适应性。(3)Margalef丰富度指数、Shannon多样性指数和Simpson多样性指数随海拔升高呈现先升后降的趋势。不同海拔高度的土壤种子库与地上植被的Sørensen相似性指数较低(0.240~0.375),并随海拔升高呈下降趋势。(4)地上植被密度与土壤种子密度呈显著正相关关系(r=0.721,P<0.01)。土壤种子密度随海拔升高呈现先增大后减小的趋势,变化范围为(47.22±2.78)粒/m^(2)~(141.67±13.89)粒/m^(2),其垂直分布具有递减趋势,表现出明显的表层(0~10 cm)富集特征。【结论】亚高山森林土壤种子库与地上植被在物种丰富度和生活型上差异显著,种子密度较低且木本成分匮乏,自然恢复能力有限。建议通过人工构建乡土物种种子库以促进生态修复。本研究为亚高山森林恢复潜力评估与修复策略制定提供了科学依据。 展开更多
关键词 海拔梯度 土壤种子库 生活型 相似性指数 西藏
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Gradient Analysis of Land Utilization and Landscape Pattern Based on the Buffer Zone in South Guangzhou City
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作者 曲林静 杨木壮 《Journal of Landscape Research》 2009年第9期44-47,58,共5页
Under the background of the 'Southwardly Development' of Guangzhou City,this paper chooses Panyu District as the research object and uses the 2005 land use data to quantitatively analyze the landscape layout a... Under the background of the 'Southwardly Development' of Guangzhou City,this paper chooses Panyu District as the research object and uses the 2005 land use data to quantitatively analyze the landscape layout and its change in the study area based on the support of GIS and Fragstats through combining landscape index and gradient analysis.The results show that it is feasible to show urbanization and the change of the spatial pattern of urban landscape through utilizing gradient analysis and landscape index.Over the course of 'Southwardly Development',the urbanization level of Panyu District has been enhanced unceasingly.And the landscape spatial patterns of different land uses and their variation characteristics are obviously different. 展开更多
关键词 gradient Analysis GIS LANDSCAPE PATTERN LANDSCAPE index
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基于高光谱及机器学习的植被等效水厚度研究
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作者 邱凌 周涛 +2 位作者 宋词 杨锐锋 唐晓鹿 《铁路节能环保与安全卫生》 2026年第1期1-9,共9页
植被等效水厚度(EWT)是表征植被生态生理性状的关键指标,其从叶片尺度向生态尺度进行空间外推的不确定性目前尚未明确。研究以成都市都江堰丘陵地带为研究对象,基于无人机高光谱数据的光谱反射率特征,利用RF与XGBoost 2种机器学习算法,... 植被等效水厚度(EWT)是表征植被生态生理性状的关键指标,其从叶片尺度向生态尺度进行空间外推的不确定性目前尚未明确。研究以成都市都江堰丘陵地带为研究对象,基于无人机高光谱数据的光谱反射率特征,利用RF与XGBoost 2种机器学习算法,系统揭示植被EWT在0.5 m、1 m、2 m共3种空间分辨率下的空间异质性及其驱动成因。结果显示:野外观测EWT平均水平为0.014 g/cm^(2),高光谱的504 nm、533 nm、680 nm、770 nm和904 nm为EWT反演的敏感波段;随着空间分辨率降低,由敏感波段改进的特征指数对各模型的贡献逐渐增大;在2 m空间分辨率下,基于REP_1指数与Cor指数构建的RF与XGBoost模型估算效率最高,且模型效率随输入变量空间分辨率降低呈上升趋势;研究区内植被EWT平均值为(0.013±0.003)g/cm^(2)(取值范围为0.006~0.023 g/cm^(2)),其高值区域主要分布于人为扰动显著的经济果园及居住点周边。说明空间分辨率变化对模型捕获植被EWT时空分布模式的能力影响显著;通过调整植被水分敏感特征参数的空间分辨率,实现丘陵地区EWT的高精度模拟,可为植被水分参数的跨尺度遥感反演提供可行方案和参考。 展开更多
关键词 特征指数 随机森林 极端梯度迭代 模型精度 空间分辨率
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基于XGBoost与SHAP的绵阳空气质量预测与因素分析
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作者 魏佳芳 魏荣升 +4 位作者 赵天赐 樊新建 纪鹏辉 曾俊翔 张仪文 《安全与环境学报》 北大核心 2026年第2期797-806,共10页
随着城市化进程的加快,空气污染问题日益突出,准确预测空气质量指数(Air Quality Index,AQI)对污染预警和科学治理具有重要意义。构建一种高精度、可解释的AQI预测模型,以识别空气污染的关键驱动因子,可为环境管理提供决策支持。研究基... 随着城市化进程的加快,空气污染问题日益突出,准确预测空气质量指数(Air Quality Index,AQI)对污染预警和科学治理具有重要意义。构建一种高精度、可解释的AQI预测模型,以识别空气污染的关键驱动因子,可为环境管理提供决策支持。研究基于2013—2024年绵阳市空气质量日平均尺度监测数据,分析各污染物浓度的时序变化趋势,并利用斯皮尔曼相关性分析揭示指标因变量与自变量之间的定量关系。采用极端梯度提升(Extreme Gradient Boosting,XGBoost)算法建立AQI预测模型,并引入夏普利加性解释(Shapley Additive Explanations,SHAP)法对模型输出进行可解释性分析,以量化各污染因子对AQI的贡献。研究对比了XGBoost模型与其他模型的性能。结果显示:XGBoost模型在训练集与测试集上的决定系数(R^(2))分别为0.99和0.96,均方误差(MSE)为50.47,预测性能优于其他机器学习模型。SHAP分析进一步表明,臭氧(O_(3))、细颗粒物(PM_(2.5))和可吸入颗粒物(PM10)是影响AQI变化的主要因素,三者累计贡献超过80%。此外,不同污染物在污染高发期和空气良好期的影响权重存在明显差异,污染物间的协同效应在高浓度场景下更为显著。XGBoost-SHAP模型能够有效提升空气质量预测精度,并实现对污染成因的深入解析。研究结果可为城市空气污染的精准治理与分时段调控提供科学依据。 展开更多
关键词 环境工程学 空气质量指数 空气质量预测 极端梯度提升算法 夏普利加性解释
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地形抛物方程的折射率反演问题
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作者 李晓燕 《兰州文理学院学报(自然科学版)》 2026年第1期15-22,共8页
针对非均匀介质中地形抛物方程折射率的复数域反演问题,提出了一种基于最优控制理论的梯度下降算法.通过建立包含正则化约束的目标泛函优化模型,设计了一种高效的迭代求解方案.数值实验表明,在典型非均匀介质条件下,该算法能够精确地重... 针对非均匀介质中地形抛物方程折射率的复数域反演问题,提出了一种基于最优控制理论的梯度下降算法.通过建立包含正则化约束的目标泛函优化模型,设计了一种高效的迭代求解方案.数值实验表明,在典型非均匀介质条件下,该算法能够精确地重构复数域折射率的空间分布,并在存在测量噪声的情况下表现出良好的鲁棒性. 展开更多
关键词 反折射率问题 最优控制 梯度下降法 数值实验
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