BESSEL

作品数:257被引量:362H指数:9
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相关机构:华侨大学沈阳师范大学天津大学北京建筑大学更多>>
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一类带高振荡Bessel核函数的广义积分算法研究
《高校应用数学学报(A辑)》2025年第1期79-88,共10页李斌 曹美翠 李海峰 陈秋松 
国家地区基金项目(62464003);贵州省2022年度哲学社会科学规划重大项目(22GZZB09);贵州师范学院2022年大学生科研项目(2022DXS006)。
结合Hankel函数的渐近性和Gauss-Laguerre求积法,文中计算了一类带有对数函数的具有一般振荡子的高振荡无穷积分.首先通过改变积分路径将积分转化为复平面上的两个线积分,然后利用Gauss-Laguerre求积公式得到高精度近似值,最后给出了相...
关键词:HANKEL变换 高振荡 Gauss-Laguerre求积法 积分路径 
Modulation of Bessel-like vector vortex beam using the resonant magneto-optical effect in rubidium vapor
《Chinese Physics B》2025年第2期274-280,共7页Yan Ma Xin Yang Hong Chang Ming-Tao Cao Xiao-Fei Zhang Rui-Fang Dong Shou-Gang Zhang 
Project supported by the National Natural Science Foundation of China(Grant Nos.12033007,61801458,12103058,12203058,12074309,and 61875205);the Key Project of Frontier Science Research of the Chinese Academy of Sciences(Grant No.QYZDB-SSW-SLH007);the Strategic Priority Research Program of CAS(Grant No.XDC07020200);the Youth Innovation Promotion Association,CAS(Grant Nos.2021408,2022413,and 2023425);the Research on Highly Sensitive Long-Wave Receiver Based on Rydberg Atoms(Grant No.1P2024000059)。
The Bessel-like vector vortex beam(BlVVB)has gained increasing significance across numerous applications.However,its practical application is restricted by manufacturing difficulties and polarization manipulation.Thus...
关键词:Bessel-like vector vortex beam resonant magneto-optical effect polarization modulation Rb atomic ensemble 
Vortex clusters and their active control in a cold Rydberg atomic system with PT-symmetric Bessel potential
《Chinese Physics B》2024年第12期180-186,共7页Zhuo Fan Yi Shi Hang Wang Yuan Zhao Wei Peng Siliu Xu 
Project supported by the National Natural Science Foundation of China(Grant No.62275075);the Science and Technology Research Program of the Education Department of Hubei Province,China(Grant No.B2022188);the Natural Science Foundation of Hubei Province,China(Grant No.2023AFC042);the Training Program of Innovation and Entrepreneurship for Undergraduates of Hubei Province,China(Grant No.S202210927003);the Medical Project of Hubei University of Science and Technology(Grant No.2023YKY08)。
We propose an approach for generating robust two-dimensional(2D)vortex clusters(VCs)in a Rydberg atomic system by utilizing parity-time(PT)symmetric optical Bessel potential.We show that the system supports novel mult...
关键词:vortex clusters PT symmetry Bessel potential Rydberg-Rydberg interaction 
Bessel beam optical coherence microscopy enables multiscale assessment of cerebrovascular network morphology and function
《Light(Science & Applications)》2024年第12期3210-3223,共14页Lukas Glandorf Bastian Wittmann Jeanne Droux Chaim Glück Bruno Weber Susanne Wegener Mohamad El Amki Rainer Leitgeb Bjoern Menze Daniel Razansky 
funding from the Swiss National Science Foundation(310030_192757);the US National Institutes of Health(RF1-NS126102);Bjoern Menze is supported through a Helmut-Horten-Professorship for Biomedical Informatics by the Helmut Horten Foundation.Bastian Wittmann is supported through the Helmut Horten Foundation.Susanne Wegener acknowledges funding from the Swiss National Science Foundation(310030_200703);the UZH CRPP stroke.The authors appreciate the help of Paul-James Marchand with setting up the OCM system and the fruitful discussions.
Understanding the morphology and function of large-scale cerebrovascular networks is crucial for studying brain health and disease.However,reconciling the demands for imaging on a broad scale with the precision of hig...
关键词:BESSEL enable FUNCTION 
Characterizations of VMO and CMO Spaces in the Bessel Setting
《Acta Mathematica Sinica,English Series》2024年第12期3055-3078,共24页Qing Dong GUO Jorge J.BETANCOR Dong Yong YANG 
Supported by National Natural Science Foundation of China(Grant Nos.11971402 and 12171399);Spanish Government(Grant No.PID2019-106093GB-I00)。
Letλ>0 and △λ:=-dx^(2)/d^(2)-x/2λdx/d be the Bessel operator on ℝ+:=(0,∞).In this paper,the authors introduce and characterize the space VMO(ℝ+,dmλ)in terms of the Hankel translation,the Hankel convolution and a...
关键词:Bessel operator VMO(ℝ+ dmλ) CMO(ℝ+ dmλ) Riesz transform 
时滞忆租神经网络的(Q,S,R)-α-耗散性分析
《佳木斯大学学报(自然科学版)》2024年第12期176-180,共5页黎会兰 韦碧鹏 
2022年度广西高校中青年教师科研基础能力提升项目(2022KY1043),2021年度柳州职业技术学院科研项目(2021KB03)。
利用Bessel-Legendre不等式以及构造Lyapunov函数等技巧,以线性矩阵不等式的形式给出了保证时滞忆阻神经网络耗散性的充分条件.最后,通过数值拟合验证了所得结果的有效性和可行性.
关键词:神经网络 忆阻 Bessel-Legendre不等式 耗散性 
Super-stealth dicing technology opens a new era for nanofabrication oftransparent solids
《Science Bulletin》2024年第21期3314-3317,共4页Xixing Wen Sai-Wing Tsang Xiuwen Xu 
the support from the National Natural Science Foundation of China(62204129 and 62205154);the Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications(NY221112 and NY222001).
Laser manufacturing, capable of dicing materials (e.g., semiconductor wafers, transparent dielectric, etc.) into components or evenchips with intricate designs and precise patterns, underpinstoday’s semiconductor and...
关键词:TRANSPARENT OPTICS BESSEL 
High-efficiency generation of long-distance,tunable,high-order nondiffracting beams
《Photonics Research》2024年第10期2390-2400,共11页XUE YUN YANSHENG LIANG MINRU HE LINQUAN GUO XINYU ZHANG SHAOWEI WANG TIANYU ZHAO SHIQI KUANG MING LEI 
National Key Research and Development Program of China(2022YFF0712500,2023YFF0722600);National Natural Science Foundation of China(62135003,62205267);Natural Science Basic Research Program of Shaanxi Province(2022JZ-34,2024JC-YBMS494);Fundamental Research Funds for the Central Universities(xzy012023033)。
Nondiffracting beams(NDBs)have presented significant utility across various fields for their unique properties of self-healing,anti-diffraction,and high-localized intensity distribution.We present a versatile and flex...
关键词:methods BESSEL GENERATING 
Nonlinear Potential Analysis in Morrey Spaces on Carnot Groups
《Journal of Mathematical Research with Applications》2024年第5期669-680,共12页Pinhong LONG Huili HAN 
Supported by the Natural Science Foundation of Ningxia(Grant No.2023AAC03001);the National Natural Science Foundation of China(Grant No.12261068)。
In this paper,the nonlinear potential theory in the Morrey spaces on Euclidean spaces and the Lebesgue spaces on the Carnot group are studied.According to the methods of abstract harmonic analysis in Heisenberg group ...
关键词:Riesz potential Bessel potential Wolff potential Morrey space Carnot group 
考虑控制时滞的构网型逆变器稳定性分析
《国外电子测量技术》2024年第10期179-189,共11页龚砚 赵平 杜龙 李振兴 
国家自然科学基金(52077120)项目资助。
构网型控制能够为系统提供惯量支撑,提高系统稳定性,然而构网型控制依托于数字控制技术,存在控制时滞问题,会对系统稳定性造成一定影响。首先建立考虑控制时滞的构网型逆变器系统的状态空间模型,然后构造L-K(Lyapunov-Kra-sovskii)泛函...
关键词:控制时滞 构网 状态空间 二阶Bessel-Legendre积分不等式 时滞稳定裕度 
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