LAGUERRE

作品数:218被引量:410H指数:11
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相关作者:胡传峰姬秀庄清渠李旭东张赋更多>>
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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 
Laguerre多项式求解分数阶Volterra-Fredholm积分-微分方程
《西安文理学院学报(自然科学版)》2024年第3期22-29,共8页李晓洁 陈豫眉 
四川省自然科学基金项目(2023NSFSC0073)
为求分数阶积分-微分方程的近似解,提出了一种基于Laguerre多项式求解分数阶Volterra-Fredholm积分-微分方程的近似方法.首先,在Caputo分数阶导数意义下,将分数阶积分-微分方程转化为Laguerre多项式空间上的矩阵形式.然后,利用配置点得...
关键词:Laguerre多项式 CAPUTO分数阶导数 分数阶Volterra-Fredholm积分-微分方程 矩阵方程 
基于模糊控制的机械臂故障识别改进
《自动化技术与应用》2024年第8期20-23,共4页王晶晶 
设计一套有效的故障检测与识别程序,是维护机器人机械臂健康、保证操作安全运行的必要条件。为了解决机器人机械臂故障检测和误差识别困难的问题,提出一种基于ARX-Laguerre模糊控制的鲁棒性观测器混合故障识别方法。将Takagi-Sugeno(T-S...
关键词:故障检测与识别 ARX-Laguerre模糊控制 T-S模糊算法 PI观测技术 
柱坐标系“分解”思想WLP-FDTD的PML实现
《计算物理》2024年第4期440-452,共13页朱大伟 陈海林 徐佳琛 周晓晓 徐博奥 
国家自然科学基金(61701221);南京工业职业技术大学引进人才科研启动基金(YK21-02-01)资助项目。
从柱坐标系下传统时域有限差分(FDTD)的基本方程出发,解决传统加权Laguerre多项式(WLP)-FDTD算法在计算上存在内存消耗大和计算效率低的问题。本文的“分解”思想分为两部分,首先,在频域上对电磁场方程进行第一次分解,并代入PML参数,将...
关键词:加权Laguerre-FDTD法 分解思想 LU分解 追赶法 降低求解规模 
Generation and characterization of customized Laguerre–Gaussian beams with arbitrary profiles
《Frontiers of physics》2024年第4期235-241,共7页Chengyuan Wang Yun Chen Jinwen Wang Xin Yang Hong Gao Fuli Li 
This work was supported by the National Natural Science Foundation of China(NSFC)(Nos.12104358,12104361,and 92050103);Shaanxi Fundamental Science Research Project for Mathematics and Physics(No.22JSZ004).
We experimentally demonstrate the generation of customized Laguerre–Gaussian(LG)beams whose intensity maxima are localized around any desired curves.The principle is to act with appropriate algebraic functions on the...
关键词:light manipulation wave propagation invariant optical fields 
Generation of tunable high-order Laguerre– Gaussian petal-like modes from a mid-infrared optical vortex parametric oscillator
《Advanced Photonics Nexus》2024年第3期113-119,共7页Yuxia Zhou Xining Yang Jianqiang Ye Yuanyuan Ma Ying Wan Jianxiang Wen Taximaiti Yusufu 
supported by the National Natural Science Foundation of China(Grant Nos.12264049 and 11664041);the Xinjiang Normal University Young Outstanding Talent Programme(Grant No.XJNUQB2022-17).
High-order Laguerre–Gaussian(LG)petal-like beams have become a topic of significant interest due to their potential application in next-generation optical trapping,quantum optics,and materials processing technologies...
关键词:high-order Laguerre-Gaussian petal-like modes optical parametric oscillator nonlinear optics KTiOAsO_(4) optical vortices. 
Asymmetric two-dimensional diffraction grating via a vortex field in an inverted-Ytype atomic system
《Communications in Theoretical Physics》2024年第5期77-85,共9页Duo Zhang Ke Wang Kunpeng Zhao Mei Wang Zhaoyu Sun 
supported by the National Natural Science Foundation of China (grant no. 12105210);the Knowledge Innovation Program of Wuhan-Basic Research (grant no. 2023010201010149)
We propose a theoretical scheme to realize a two-dimensional(2D)diffraction grating in a four-level inverted-Y-type atomic system coupled by a standing-wave(SW)field and a Laguerre-Gaussian(LG)vortex field.Owing to as...
关键词:asymmetric diffraction grating standing-wave field Laguerre-Gaussian vortex field diffraction property 
Properties of focused Laguerre–Gaussian beam propagating in anisotropic ocean turbulence被引量:1
《Chinese Physics B》2024年第2期386-393,共8页王新光 马洋斌 袁邱杰 陈伟 王乐 赵生妹 
This work was supported by the Science and Technology Innovation Training Program of Nanjing University of Posts and Telecommunications(Grant No.CXXZD2023080);the National Natural Science Foundation of China(Grant Nos.61871234 and 62001249);the Natural Science Foundation of Nanjing University of Posts and Telecommunications(Grant No.NY222133);the Open Research Fund of National Laboratory of Solid State Microstructures(Grant No.M36055).
We analyze the properties of a focused Laguerre–Gaussian(LG)beam propagating through anisotropic ocean turbulence based on the Huygens–Fresnel principle.Under the Rytov approximation theory,we derive the analytical ...
关键词:vortex beam orbital angular momentum focusing mirror anisotropic turbulence 
The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line
《American Journal of Computational Mathematics》2023年第4期505-511,共7页Maria Rosaria Capobianco Giuliana Criscuolo 
In this paper, the authors give a different and more precise analysis of the stability of the classical Gauss-Laguerre quadrature rule for the Cauchy P.V. integrals on the half line. Moreover, in order to obtain this ...
关键词:Gauss Quadrature Exponential Weights Cauchy P.V. Integrals Stability 
Tailoring OAM spectrum of high-order harmonic generation driven by two mixed Laguerre–Gaussian beams with nonzero radial nodes
《Chinese Physics B》2023年第12期80-89,共10页汪倍羽 韩嘉鑫 金成 
Project supported by the National Natural Science Foundation of China (Grant Nos.12274230,91950102,and 11834004);the Funding of Nanjing University of Science and Technology (Grant No.TSXK2022D005)。
The extreme ultraviolet(XUV)light beam carrying orbital angular momentum(OAM)can be produced via high-order harmonic generation(HHG)due to the interaction of an intense vortex infrared laser and a gas medium.Here we s...
关键词:orbital angular momentum(OAM)spectrum high-order harmonic generation Laguerre–Gaussian beam radial nodes PHASE-MATCHING 
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