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Remote sensing image encryption algorithm based on novel hyperchaos and an elliptic curve cryptosystem
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作者 田婧希 金松昌 +2 位作者 张晓强 杨绍武 史殿习 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第5期292-304,共13页
Remote sensing images carry crucial ground information,often involving the spatial distribution and spatiotemporal changes of surface elements.To safeguard this sensitive data,image encryption technology is essential.... Remote sensing images carry crucial ground information,often involving the spatial distribution and spatiotemporal changes of surface elements.To safeguard this sensitive data,image encryption technology is essential.In this paper,a novel Fibonacci sine exponential map is designed,the hyperchaotic performance of which is particularly suitable for image encryption algorithms.An encryption algorithm tailored for handling the multi-band attributes of remote sensing images is proposed.The algorithm combines a three-dimensional synchronized scrambled diffusion operation with chaos to efficiently encrypt multiple images.Moreover,the keys are processed using an elliptic curve cryptosystem,eliminating the need for an additional channel to transmit the keys,thus enhancing security.Experimental results and algorithm analysis demonstrate that the algorithm offers strong security and high efficiency,making it suitable for remote sensing image encryption tasks. 展开更多
关键词 hyperchaotic system elliptic curve cryptosystem(ECC) 3D synchronous scrambled diffusion remote sensing image unmanned aerial vehicle(UAV)
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Lie symmetry analysis and invariant solutions for the(3+1)-dimensional Virasoro integrable model
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作者 胡恒春 李雅琦 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期249-254,共6页
Lie symmetry analysis is applied to a(3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators.Invariant solutions with a... Lie symmetry analysis is applied to a(3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators.Invariant solutions with arbitrary functions for the(3+1)-dimensional Virasoro integrable model,including the interaction solution between a kink and a soliton,the lump-type solution and periodic solutions,have been studied analytically and graphically. 展开更多
关键词 (3+1)-dimensional Virasoro integrable model Lie symmetry invariant solutions
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Interaction solutions for the second extended(3+1)-dimensional Jimbo–Miwa equation
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作者 马红彩 毛雪 邓爱平 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第6期112-121,共10页
Based on the Hirota bilinear method,the second extended(3+1)-dimensional Jimbo–Miwa equation is established.By Maple symbolic calculation,lump and lump-kink soliton solutions are obtained.The interaction solutions be... Based on the Hirota bilinear method,the second extended(3+1)-dimensional Jimbo–Miwa equation is established.By Maple symbolic calculation,lump and lump-kink soliton solutions are obtained.The interaction solutions between the lump and multi-kink soliton,and the interaction between the lump and triangular periodic soliton are derived by combining a multi-exponential function or trigonometric sine and cosine functions with quadratic functions.Furthermore,periodiclump wave solution is derived via the ansatz including hyperbolic and trigonometric functions.Finally,3D plots,2D curves,density plots,and contour plots with particular choices of the suitable parameters are depicted to illustrate the dynamical features of these solutions. 展开更多
关键词 Hirota bilinear method second extended(3+1)-dimensional Jimbo–Miwa equation lump solution interaction solution
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Correg-Yolov3:a Method for Dense Buildings Detection in High-resolution Remote Sensing Images
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作者 Zhanlong CHEN Shuangjiang LI +3 位作者 Yongyang XU Daozhu XU Chao MA Junli ZHAO 《Journal of Geodesy and Geoinformation Science》 CSCD 2023年第2期51-61,共11页
The exploration of building detection plays an important role in urban planning,smart city and military.Aiming at the problem of high overlapping ratio of detection frames for dense building detection in high resoluti... The exploration of building detection plays an important role in urban planning,smart city and military.Aiming at the problem of high overlapping ratio of detection frames for dense building detection in high resolution remote sensing images,we present an effective YOLOv3 framework,corner regression-based YOLOv3(Correg-YOLOv3),to localize dense building accurately.This improved YOLOv3 algorithm establishes a vertex regression mechanism and an additional loss item about building vertex offsets relative to the center point of bounding box.By extending output dimensions,the trained model is able to output the rectangular bounding boxes and the building vertices meanwhile.Finally,we evaluate the performance of the Correg-YOLOv3 on our self-produced data set and provide a comparative analysis qualitatively and quantitatively.The experimental results achieve high performance in precision(96.45%),recall rate(95.75%),F1 score(96.10%)and average precision(98.05%),which were 2.73%,5.4%,4.1%and 4.73%higher than that of YOLOv3.Therefore,our proposed algorithm effectively tackles the problem of dense building detection in high resolution images. 展开更多
关键词 high resolution remote sensing image Correg-YOLOv3 corner regression dense buildings object detection
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Airborne sparse flight array SAR 3D imaging based on compressed sensing in frequency domain
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作者 TIAN He DONG Chunzhu +1 位作者 YIN Hongcheng YUAN Li 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第1期56-67,共12页
In airborne array synthetic aperture radar(SAR), the three-dimensional(3D) imaging performance and cross-track resolution depends on the length of the equivalent array. In this paper, Barker sequence criterion is used... In airborne array synthetic aperture radar(SAR), the three-dimensional(3D) imaging performance and cross-track resolution depends on the length of the equivalent array. In this paper, Barker sequence criterion is used for sparse flight sampling of airborne array SAR, in order to obtain high cross-track resolution in as few times of flights as possible. Under each flight, the imaging algorithm of back projection(BP) and the data extraction method based on modified uniformly redundant arrays(MURAs) are utilized to obtain complex 3D image pairs. To solve the side-lobe noise in images, the interferometry between each image pair is implemented, and compressed sensing(CS) reconstruction is adopted in the frequency domain. Furthermore, to restore the geometrical relationship between each flight, the phase information corresponding to negative MURA is compensated on each single-pass image reconstructed by CS. Finally,by coherent accumulation of each complex image, the high resolution in cross-track direction is obtained. Simulations and experiments in X-band verify the availability. 展开更多
关键词 three-dimensional(3D)imaging synthetic aperture radar(SAR) sparse flight INTERFEROMETRY compressed sensing(CS)
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Reduced Imaging Time and Improved Image Quality of 3D Isotropic T2-Weighted Magnetic Resonance Imaging with Compressed Sensing for the Female Pelvis
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作者 Hao Mei Feng Xiao Ming Deng 《Journal of Beijing Institute of Technology》 EI CAS 2023年第5期579-585,共7页
This study is to compare three-dimensional(3D)isotropic T2-weighted magnetic resonance imaging(MRI)with compressed sensing-sampling perfection with application optimized contrast(CS-SPACE)and the conventional image(3D... This study is to compare three-dimensional(3D)isotropic T2-weighted magnetic resonance imaging(MRI)with compressed sensing-sampling perfection with application optimized contrast(CS-SPACE)and the conventional image(3D-SPACE)sequence in terms of image quality,estimated signal-to-noise ratio(SNR),relative contrast-to-noise ratio(CNR),and the lesions’conspicuous of the female pelvis.Thirty-six females(age:51,28-73)with cervical carcinoma(n=20),rectal carcinoma(n=7),or uterine fibroid(n=9)were included.Patients underwent magnetic resonance(MR)imaging at a 3T scanner with the sequences of 3D-SPACE,CS-SPACE,and twodimensional(2D)T2-weighted turbo-spin echo(TSE).Quantitative analyses of estimated SNR and relative CNR between tumors and other tissues,image quality,and tissue conspicuity were performed.Two radiologists assessed the difference in diagnostic findings for carcinoma.Quantitative values and qualitative scores were analyzed,respectively.The estimated SNR and the relative CNR of tumor-to-muscle obturator internus,tumor-to-myometrium,and myometrium-to-muscle obturator internus was comparable between 3D-SPACE and CS-SPACE.The overall image quality and the conspicuity of the lesion scores of the CS-SPACE were higher than that of the 3D-SPACE(P<0.01).The CS-SPACE sequence offers shorter scan time,fewer artifacts,and comparable SNR and CNR to conventional 3D-SPACE,and has the potential to improve the performance of T2-weighted images. 展开更多
关键词 compressed sensing sampling perfection with application-oriented contrasts(SPACE)using variable flip angle evolutions three-dimensional(3D)imaging magnetic resonance imaging(MRI) PELVIS
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A 3-DIMENSIONAL DATA MODEL FOR VISUALIZING CLOVERLEAF JUNCTION IN A CITY MODEL 被引量:6
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作者 Chen Jun Sun Min Zhou Qiming 《Geo-Spatial Information Science》 1999年第1期9-15,共7页
The research work has been seldom done about cloverleaf junction expression in a 3-dimensional city model (3DCM). The main reason is that the cloverleaf junction is often in a complex and enormous construction. Its ma... The research work has been seldom done about cloverleaf junction expression in a 3-dimensional city model (3DCM). The main reason is that the cloverleaf junction is often in a complex and enormous construction. Its main body is bestraddle in air,and has aerial intersections between its parts. This complex feature made cloverleaf junction quite different from buildings and terrain, therefore, it is difficult to express this kind of spatial objects in the same way as for buildings and terrain. In this paper,authors analyze spatial characteristics of cloverleaf junction, propose an all-constraint points TIN algorithm to partition cloverleaf junction road surface, and develop a method to visualize cloverleaf junction road surface using TIN. In order to manage cloverleaf junction data efficiently, the authors also analyzed the mechanism of 3DCM data management, extended BLOB type in relational database, and combined R-tree index to manage 3D spatial data. Based on this extension, an appropriate data 展开更多
关键词 3-dimensional CITY MODEL (3DCM) GIS cloverleaf JUNCTION DATA STRUCTURE DATABASE
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Evaluation of Airway Obstruction at Soft Palate Level in Male Patients with Obstructive Sleep Apnea/Hypopnea Syndrome:Dynamic 3-Dimensional CT Imaging of Upper Airway 被引量:10
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作者 肖英 陈雄 +4 位作者 史河水 杨阳 何烈纯 董家琪 孔维佳 《Journal of Huazhong University of Science and Technology(Medical Sciences)》 SCIE CAS 2011年第3期413-418,共6页
This study examined the dynamic characteristics of upper airway collapse at soft palate level in patients with obstructive sleep apnea/hypopnea syndrome(OSAHS) by using dynamic 3-Dimensional(3-D) CT imaging.A tota... This study examined the dynamic characteristics of upper airway collapse at soft palate level in patients with obstructive sleep apnea/hypopnea syndrome(OSAHS) by using dynamic 3-Dimensional(3-D) CT imaging.A total of 41 male patients who presented with 2 of the following symptoms,i.e.,daytime sleepiness and fatigue,frequent snoring,and apnea with witness,were diagnosed as having OSAHS.They underwent full-night polysomnography and then dynamic 3-D CT imaging of the upper airway during quiet breathing and in Muller's maneuver.The soft palate length(SPL),the minimal cross-sectional area of the retropalatal region(mXSA-RP),and the vertical distance from the hard palate to the upper posterior part of the hyoid(hhL) were compared between the two breathing states.These parameters,together with hard palate length(HPL),were also compared between mild/moderate and severe OSAHS groups.Association of these parameters with the severity of OSAHS [as reflected by apnea hypopnea index(AHI) and the lowest saturation of blood oxygen(LSaO2)] was examined.The results showed that 31 patients had severe OSAHS,and 10 mild/moderate OSAHS.All the patients had airway obstruction at soft palate level.mXSA-RP was significantly decreased and SPL remarkably increased during Muller's maneuver as compared with the quiet breathing state.There were no significant differences in these airway parameters(except the position of the hyoid bone) between severe and mild/moderate OSAHS groups.And no significant correlation between these airway parameters and the severity of OSAHS was found.The position of hyoid was lower in the severe OSAHS group than in the mild/moderate OSAHS group.The patients in group with body mass index(BMI)≥26 had higher collapse ratio of mXSA-RP,greater neck circumference and smaller mXSA-RP in the Muller's maneuver than those in group with BMI26(P0.05 for all).It was concluded that dynamic 3-D CT imaging could dynamically show the upper airway changes at soft palate level in OSAHS patients.All the OSAHS patients had airway obstruction of various degrees at soft palate level.But no correlation was observed between the airway change at soft palate level and the severity of OSAHS.The patients in group with BMI≥26 were more likely to develop airway obstruction at soft palate level than those with BMI26. 展开更多
关键词 obstructive sleep apnea/hypopnea syndrome upper airway obstruction soft palate level dynamic computed tomography 3-dimensional imaging
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电极厚度和粒径对In_(2)O_(3)氨气传感器性能的影响
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作者 吴春平 杨琳 +1 位作者 张毅然 林赫 《传感器与微系统》 CSCD 北大核心 2024年第4期28-32,共5页
采用自蔓延燃烧(SHS)法合成了纳米敏感材料一氧化铟(In_(2)O_(3)),以氧化钇稳定的氧化锆(YSZ)为固体电解质,铂(Pt)为参比电极,制备了混合电位型氨气(NH_(3))传感器。采用X射线衍射(XRD)、扫描电镜(SEM)和透射电子显微镜(TEM)对敏感电极... 采用自蔓延燃烧(SHS)法合成了纳米敏感材料一氧化铟(In_(2)O_(3)),以氧化钇稳定的氧化锆(YSZ)为固体电解质,铂(Pt)为参比电极,制备了混合电位型氨气(NH_(3))传感器。采用X射线衍射(XRD)、扫描电镜(SEM)和透射电子显微镜(TEM)对敏感电极形貌进行表征。研究发现,随着电极厚度的增加,更多的NH_(3)被吸附到表面参与电化学过程,传感性能增强;若电极层过厚,大部分NH_(3)在穿过电极层到达三相界面(TPB)区域之前,被气固多相催化反应消耗,传感性能降低;SEM表征结果显示,最优的电极厚度为104.20μm。同时研究了粒径对性能的影响,在煅烧温度为900℃时,传感器表现出最高的灵敏度(-64.20 mV/decade),TEM表征结果显示,此时晶粒的平均粒径为75.92 nm。通过极化曲线测试验证了传感器响应机理符合混合电位理论。 展开更多
关键词 氧化铟 氨气传感器 电极厚度 粒径 敏感性能
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NOVEL 6-SPS PARALLEL 3-DIMENSIONAL PLATFORM MANIPULATOR AND ITS FORCE/MOTION TRANSMISSION ANALYSIS 被引量:2
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作者 Jin Zhenlin School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaGao Feng Hebei University of Technology 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2002年第4期298-302,共5页
The unique design for a novel 6-SPS parallel 3-dimensional platformmanipulator with an orthogonal configuration is investigated. The layout feature of the parallelmanipulator is described. Its force/motion transmissio... The unique design for a novel 6-SPS parallel 3-dimensional platformmanipulator with an orthogonal configuration is investigated. The layout feature of the parallelmanipulator is described. Its force/motion transmission capability, evaluation criteria arepresented. At the orthogonal configuration, the criteria and the relationships between the criteriaand the link lengths are analyzed, which is important since it can provide designer a piece ofvaluable information about how to choose the linear actuators. From the analysis of the results itis shown that the force/motion transmission capabilities of the parallel manipulator arecharacterized by isotropy at the orthogonal configuration. The manipulator is particularly suitablefor certain applications in 6-DOF micromanipulators and 6-axis force/moment transducers. 展开更多
关键词 6-SPS parallel manipulator 3-dimensional platform manipulator ISOTROPY
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Residual symmetry, CRE integrability and interaction solutions of two higher-dimensional shallow water wave equations
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作者 刘希忠 李界通 俞军 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第11期313-319,共7页
Two(3+1)-dimensional shallow water wave equations are studied by using residual symmetry and the consistent Riccati expansion(CRE) method. Through localization of residual symmetries, symmetry reduction solutions of t... Two(3+1)-dimensional shallow water wave equations are studied by using residual symmetry and the consistent Riccati expansion(CRE) method. Through localization of residual symmetries, symmetry reduction solutions of the two equations are obtained. The CRE method is applied to the two equations to obtain new B?cklund transformations from which a type of interesting interaction solution between solitons and periodic waves is generated. 展开更多
关键词 (3+1)-dimensional shallow water wave equation residual symmetry consistent Riccati expansion
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Thermal effect on endurance performance of 3-dimensional RRAM crossbar array 被引量:2
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作者 卢年端 孙鹏霄 +4 位作者 李泠 刘琦 龙世兵 吕杭炳 刘明 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第5期253-257,共5页
Three-dimensional(3D) crossbar array architecture is one of the leading candidates for future ultra-high density nonvolatile memory applications. To realize the technological potential, understanding the reliability... Three-dimensional(3D) crossbar array architecture is one of the leading candidates for future ultra-high density nonvolatile memory applications. To realize the technological potential, understanding the reliability mechanisms of the3 D RRAM array has become a field of intense research. In this work, the endurance performance of the 3D 1D1 R crossbar array under the thermal effect is investigated in terms of numerical simulation. It is revealed that the endurance performance of the 3D 1D1 R array would be seriously deteriorated under thermal effects as the feature size scales down to a relatively small value. A possible method to alleviate the thermal effects is provided and verified by numerical simulation. 展开更多
关键词 3-dimensional resistive random access memory(RRAM) thermal effect endurance performance
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The first quantitative remote sensing of ocean internal waves by Chinese GF-3 SAR satellite 被引量:5
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作者 YANG Jingsong WANG Juan REN Lin 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2017年第1期118-118,共1页
Quantitative analysis and retrieval is given by the State Key Laboratory of Satellite Ocean Environment Dynamics(SOED),Second Institute of Oceanography(SIO),State Oceanic Administration(SOA),China,from the first... Quantitative analysis and retrieval is given by the State Key Laboratory of Satellite Ocean Environment Dynamics(SOED),Second Institute of Oceanography(SIO),State Oceanic Administration(SOA),China,from the first batch of GF-3 synthetic aperture radar(SAR)data with ocean internal wave features in the Yellow Sea. 展开更多
关键词 SAR The first quantitative remote sensing of ocean internal waves by Chinese GF-3 SAR satellite GF
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Rota-Baxter Operators on 3-dimensional Lie Algebras and Solutions of the Classical Yang-Baxter Equation 被引量:1
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作者 Cheng Yong-sheng Wu Lin-li +1 位作者 Wang Pan-yin Du Xian-kun 《Communications in Mathematical Research》 CSCD 2019年第1期81-96,共16页
In this paper,we compute Rota-Baxter operators on the 3-dimensional Lie algebra g whose derived algebra’s dimension is 2.Furthermore,we give the corresponding solutions of the classical Yang-Baxter equation in the 6-... In this paper,we compute Rota-Baxter operators on the 3-dimensional Lie algebra g whose derived algebra’s dimension is 2.Furthermore,we give the corresponding solutions of the classical Yang-Baxter equation in the 6-dimensional Lie algebras g ■ _(ad~*) g~* and some new structures of left-symmetric algebra induced from g and its Rota-Baxter operators. 展开更多
关键词 Rota-Baxter OPERATORS 3-dimensional Lie ALGEBRA classical Yang-Baxter equation left-symmetric ALGEBRA
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Ab-initio density functional theory study of a WO_3 NH_3-sensing mechanism 被引量:1
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作者 胡明 张洁 +1 位作者 王巍丹 秦玉香 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第8期161-168,共8页
WO3 bulk and various surfaces are studied by an ab-initio density functional theory technique. The band structures and electronic density states of WO3 bulk are investigated. The surface energies of different WO3 surf... WO3 bulk and various surfaces are studied by an ab-initio density functional theory technique. The band structures and electronic density states of WO3 bulk are investigated. The surface energies of different WO3 surfaces are compared and then the (002) surface with minimum energy is computed for its NH3 sensing mechanism which explains the results in the experiments. Three adsorption sites are considered. According to the comparisons of the energy and the charge change between before and after adsorption in the optimal adsorption site Olc, the NH3 sensing mechanism is obtained. 展开更多
关键词 WO3 density functional theory NH3 sensing density of state
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Preparation of polythiophene/WO_3 organic-inorganic hybrids and their gas sensing properties for NO_2 detection at low temperature 被引量:2
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作者 Jing Huan~ Yanfei Kang +2 位作者 Taili Yang Yao Wang Shurong Wang 《Journal of Natural Gas Chemistry》 EI CAS CSCD 2011年第4期403-407,共5页
Polythiophene/WO3(PTP/WO3)organic-inorganic hybrids were synthesized by an in situ chemical oxidative polymerization method,and char- acterized by X-ray diffraction(XRD),transmission electron microscopy(TEM)and ... Polythiophene/WO3(PTP/WO3)organic-inorganic hybrids were synthesized by an in situ chemical oxidative polymerization method,and char- acterized by X-ray diffraction(XRD),transmission electron microscopy(TEM)and thermo-gravimetric analysis(TGA).The Polythiophene/ WO3 hybrids have higher thermal stability than pure polythiophene,which is beneficial to potential application as chemical sensors.Gas sensing measurements demonstrate that the gas sensor based on the Polythiophene/WO3 hybrids has high response and good selectivity for de- tecting NO2 of ppm level at low temperature.Both the operating temperature and PTP contents have an influence on the response of PTP/WO3 hybrids to NO2.The 10 wt%PTP/WO3 hybrid showed the highest response at low operating temperature of 70-C.It is expected that the PTP/WO3 hybrids can be potentially used as gas sensor material for detecting the low concentration of NO2 at low temperature. 展开更多
关键词 polythiophene/WO3 organic-inorganic hybrids gas sensing properties NO2 detection low temperature
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高热稳定CaGdAlO_(4)∶Er^(3+)/Yb^(3+)荧光粉的上转换发光及其温度传感性能
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作者 李玉强 杨健 +4 位作者 王帅 郑基源 赵炎 周恒为 刘玉学 《人工晶体学报》 CAS 北大核心 2024年第4期649-655,共7页
获得具有良好热稳定性和发光性能的非接触式光学温度传感材料是目前的研究热点之一,本工作通过高温固相法制备了Er^(3+)/Yb^(3+)共掺CaGdAlO_(4)∶Er_(x),Yb_(0.10)(x=0.006、0.008、0.010、0.012、0.014)荧光粉,尺寸大小分布在0.6~4.2... 获得具有良好热稳定性和发光性能的非接触式光学温度传感材料是目前的研究热点之一,本工作通过高温固相法制备了Er^(3+)/Yb^(3+)共掺CaGdAlO_(4)∶Er_(x),Yb_(0.10)(x=0.006、0.008、0.010、0.012、0.014)荧光粉,尺寸大小分布在0.6~4.2μm。在980 nm激光激发下,该荧光粉在500~700 nm发射谱由两个发射带组成,528和550 nm处两个较强的绿光发射带,归属于Er^(3+)的^(2)H_(11/2)→^(4)I_(15/2)、^(4)S_(3/2)→^(4)I_(15/2)能级跃迁,663 nm处较弱的红光发射带,归属于Er^(3+)的^(4)F_(9/2)→^(4)I_(15/2)能级跃迁。上转换发光强度最大组分为CaGdAlO_(4)∶Er_(0.010),Yb_(0.10)。300~573 K变温发射谱表明,基于荧光强度比FIR_(528/550)参数,温度传感绝对灵敏度S_(A)从44.4×10^(-4) K^(-1)(@300 K)先增大到52.0×10^(-4) K^(-1)(@445 K)随后减小到49.0×10^(-4) K^(-1)(@573 K)。相对灵敏度S_(R)则从0.95×10^(-2) K^(-1)(@300 K)单调减小到0.27×10^(-2) K^(-1)(@573 K)。冷热循环实验表明该材料的热重复性优于98%。结果表明,CaGdAlO_(4)∶Er_(0.010),Yb_(0.10)荧光粉在光学温度传感领域具有潜在的应用前景。 展开更多
关键词 稀土离子 荧光粉 Er^(3+)/Yb^(3+)共掺 上转换 荧光强度比 温度传感 高温固相法
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Extended symmetry transformation of (3+1)-dimensional generalized nonlinear Schrdinger equation with variable coefficients 被引量:1
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作者 荆建春 李彪 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第1期77-83,共7页
In this paper, the extended symmetry transformation of (3+1)-dimensional (3D) generalized nonlinear Schrodinger (NLS) equations with variable coefficients is investigated by using the extended symmetry approach... In this paper, the extended symmetry transformation of (3+1)-dimensional (3D) generalized nonlinear Schrodinger (NLS) equations with variable coefficients is investigated by using the extended symmetry approach and symbolic computation. Then based on the extended symmetry, some 3D variable coefficient NLS equations are reduced to other variable coefficient NLS equations or the constant coefficient 3D NLS equation. By using these symmetry transformations, abundant exact solutions of some 3D NLS equations with distributed dispersion, nonlinearity, and gain or loss are obtained from the constant coefficient 3D NLS equation. 展开更多
关键词 3+1)-dimensional nonlinear Schrodinger equation extended symmetry exact solution symbolic computation
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Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation 被引量:1
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作者 张雯婷 戴朝卿 陈未路 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期196-199,共4页
With the help of a modified mapping method and a new mapping method, we re-study the (3+1)-dimensional Burgers equation, and derive two families of variable separation solutions. By selecting appropriate functions ... With the help of a modified mapping method and a new mapping method, we re-study the (3+1)-dimensional Burgers equation, and derive two families of variable separation solutions. By selecting appropriate functions in the variable separation solution, we discuss the interaction behaviors among taper-like, plateau-type rings, and rectangle-type embed-solitons in the periodic wave background. All the interaction behaviors are completely elastic, and no phase shift appears after interaction. 展开更多
关键词 3+1)-dimensional Burgers equation modified mapping method interaction between special embed-solitons
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Symmetry analysis and explicit solutions of the (3+1)-dimensional baroclinic potential vorticity equation 被引量:1
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作者 胡晓瑞 陈勇 黄菲 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第8期35-45,共11页
This paper investigates an important high-dimensional model in the atmospheric and oceanic dynamics-(3+1)- dimensional nonlinear baroclinic potential vorticity equation by the classical Lie group method. Its symmet... This paper investigates an important high-dimensional model in the atmospheric and oceanic dynamics-(3+1)- dimensional nonlinear baroclinic potential vorticity equation by the classical Lie group method. Its symmetry algebra, symmetry group and group-invariant solutions are analysed. Otherwise, some exact explicit solutions are obtained from the corresponding (2+1)-dimensional equation, the inviscid barotropic nondivergent vorticy equation. To show the properties and characters of these solutions, some plots as well as their possible physical meanings of the atmospheric circulation are given out. 展开更多
关键词 3+1)-dimensional nonlinear baroclinic potential vorticity equation symmetry group group-invariant solution explicit solution
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