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Quantitative Measurements of Second-Order Nonlinear Susceptibility with Collinear Reflective Second Harmonic Generation
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作者 Xuan Zhao Li-geng Yan Wen-kai Zhang 《Chinese Journal of Chemical Physics》 SCIE EI CAS CSCD 2024年第2期171-176,I0101,共7页
Polarization-dependent second harmonic generation is a widely utilized technique for characterizing symmetry.However,in collinear reflective geometry,the essential beam-splitting device significantly influences both t... Polarization-dependent second harmonic generation is a widely utilized technique for characterizing symmetry.However,in collinear reflective geometry,the essential beam-splitting device significantly influences both the polarization state of the fundamental and harmonic beams,thereby affecting the accuracy of the obtained second-order nonlinear susceptibility.Here,we propose a data correction method to solve this problem to obtain accurate secondorder nonlinear susceptibility.The feasibility and generality of the method are demonstrated through theoretical and experimental validation. 展开更多
关键词 Second harmonic generation Polarization distortion Beam-splitting device Second-order nonlinear susceptibility
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Second Harmonic Generation in Microwave Regime
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作者 Ke Li Fu Liu 《Journal of Beijing Institute of Technology》 2025年第2期175-194,共20页
Second harmonic generation(SHG),a fundamental and widely-studied phenomenon in nonlinear optics,has attracted significant attention for its ability to convert fundamental frequencies into their second harmonics.While ... Second harmonic generation(SHG),a fundamental and widely-studied phenomenon in nonlinear optics,has attracted significant attention for its ability to convert fundamental frequencies into their second harmonics.While the dominant SHG research has been focused on the optical and infrared regimes,its investigation in the microwave range presents challenges due to the requirements of materials with higher nonlinear coefficients and high-power microwave sources.Here,we provide an overview of methods together with underlying mechanisms for SHG in microwave frequencies,and discuss prospects and insights into the future developments of SHG-based technologies.The discussions on both numerical analyses and experimental studies will offer guidance for further SHG research and communication advancements in microwave regime. 展开更多
关键词 second harmonic generation(SHG) MICROWAVE nonlinear methodS
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High-order harmonic generations in tilted Weyl semimetals
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作者 Zi-Yuan Li Qi Li Zhou Li 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第12期242-251,共10页
We investigate high-order harmonic generations(HHGs)under comparison of Weyl cones in two types.Due to the hyperboloidal electron pocket structure,strong noncentrosymmetrical generations in high orders are observed ar... We investigate high-order harmonic generations(HHGs)under comparison of Weyl cones in two types.Due to the hyperboloidal electron pocket structure,strong noncentrosymmetrical generations in high orders are observed around a single type-ⅡWeyl point,especially at zero frequency.Such a remarkable DC signal is proved to have attributions from the intraband transition after spectral decomposition.Under weak pulse electric field,the linear optical response of a nontilted Weyl cone is consistent with the Kubo theory.With extensive numerical simulations,we conclude that the non-zero chemical potential can enhance the even-order generations,from the slightly tilted system to the over-tilted systems.In consideration of dynamical symmetries,type-Ⅰand type-ⅡWeyl cones also show different selective responses under the circularly polarized light.Finally,using a more realistic model containing two pairs of Weyl points,we demonstrate that paired Weyl points with opposite chirality can suppress the overall even-order generations. 展开更多
关键词 high order harmonic generation nonlinear optics Weyl semimetals
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APb_(2)(C_(7)H_(3)NO_(4))_(2)I(A=K,Rb,Cs):rare stable nonlinear optical crystals with second-harmonic generation response and highly distorted lead core coordination polyhedra†
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作者 Zi-Long Geng Zi-Qi Zhou +3 位作者 Hong-Xin Tang Wen-Xiu Bao Rui-Biao Fu Xin-Tao Wu 《Inorganic Chemistry Frontiers》 2022年第22期5783-5787,共5页
The development of nonlinear optical(NLO)crystals with excellent performance has been the goal of numerous researchers.Herein,iodide has been successfully introduced into lead 2,6-pyridinedicarboxylates to rationally ... The development of nonlinear optical(NLO)crystals with excellent performance has been the goal of numerous researchers.Herein,iodide has been successfully introduced into lead 2,6-pyridinedicarboxylates to rationally synthesize a series of new stable NLO crystals,APb_(2)(C_(7)H_(3)NO_(4))_(2)I(A=K,Rb,Cs),via a mild mix-solvothermal method. 展开更多
关键词 lead pyridinedicarboxylates second harmonic generation iodide mix solvothermal method nonlinear optical crystals stable crystals
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Ultraviolet nonlinear optical crystals A_(3)SrBi(P_(2)O_(7))_(2) (A = K,Rb) with large second harmonic generation responses
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作者 Shiwei Liu Bingbing Zhang +4 位作者 Hongping Wu Hongwei Yu Zhanggui Hu Jiyang Wang Yicheng Wu 《Inorganic Chemistry Frontiers》 2021年第8期2061-2067,共7页
Ultraviolet nonlinear optical (UV NLO) crystals are the key and basic materials for solid-state lasers.Phosphates as UV NLO crystals are limited in practical applications due to their weak second-harmonic generation (... Ultraviolet nonlinear optical (UV NLO) crystals are the key and basic materials for solid-state lasers.Phosphates as UV NLO crystals are limited in practical applications due to their weak second-harmonic generation (SHG) response.In this work,two non-centrosymmetric pyro-phosphates of K_(3)SrBi(P_(2)O_(7))_(2) and Rb_(3)SrBi(P_(2)O_(7))_(2) have been synthesized by a high-temperature solution method.Systematic property measurements show that they both have short UV cut-off edges (∼240 nm) and large SHG responses (4 × KDP for K_(3)SrBi(P_(2)O_(7))_(2) and 2.1 × KDP for Rb_(3)SrBi(P_(2)O_(7))_(2)).Thus,they are both promising UV NLO candidates.In particular,K_(3)SrBi(P_(2)O_(7))_(2) shows the strongest SHG response in the family of A_(3)BBi(P_(2)O_(7))_(2) (A = K,Rb,B = Sr;A = Rb,Cs,B = Ba,Pb),which is about twice higher than that of isomorphic Rb_(3)SrBi(P_(2)O_(7))_(2).The study of the structure–property relationship shows that the synergistic effect of P_(2)O_(7) dimers and BiO6 polyhedra is the main contribution to their excellent NLO properties.And better orientations of P_(2)O_(7) dimers and larger distortion of BiO6 units play important roles in enhancing the SHG response of K_(3)SrBi(P_(2)O_(7))_(2). 展开更多
关键词 property measurements ultraviolet nonlinear optical crystals second harmonic generation uv nlo pyrophosphates structure property relationship high temperature solution method ultraviolet nonlinear optical
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RbNa(HC_(3)N_(3)O_(3))·2H_(2)O exhibiting a strong second harmonic generation response and large birefringence as a new potential UV nonlinear optical material
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作者 Yunxia Song Donghong Lin +3 位作者 Min Luo Chensheng Lin Qiaoling Chen Ning Ye 《Inorganic Chemistry Frontiers》 2020年第1期150-156,共7页
A new mixed alkali hydro-isocyanurate,RbNa(HC_(3)N_(3)O_(3))·2H_(2)O,with the noncentrosymmetric space group Pna21(No.33),has been successfully grown by a hydrothermal method.The structure can be described as 2D ... A new mixed alkali hydro-isocyanurate,RbNa(HC_(3)N_(3)O_(3))·2H_(2)O,with the noncentrosymmetric space group Pna21(No.33),has been successfully grown by a hydrothermal method.The structure can be described as 2D wavy[Na(HC_(3)N_(3)O_(3))O_(4)]∞layers separated by Rb atoms.The UV-vis diffuse reflection measurement revealed that RbNa(HC_(3)N_(3)O_(3))·2H_(2)O has a large band gap of 5.10 eV,corresponding to the UV cutoff edge of 241 nm.The polarizing microscope measurement of a micron-sized single crystal shows that RbNa(HC_(3)N_(3)O_(3))·2H_(2)O has a large birefringence of 0.194.The powder SHG measurement indicated that RbNa(HC_(3)N_(3)O_(3))·2H_(2)O exhibits a strong SHG effect that is 5.3 times that of KH_(2)PO_(4)(KDP)and can realize phase-matching in the visible and UV region.Moreover,the differences in the SHG responses between RbNa(HC_(3)N_(3)O_(3))·2H_(2)O and two isostructural compounds have been investigated,which depend heavily on the structural modulation of the(HC_(3)N_(3)O_(3))2-group by cations.Meanwhile,the electronic structures and optical properties were well analyzed using DFT methods. 展开更多
关键词 polarizing microscope measurement mixed alkali hydro isocyanurate uv cutoff second harmonic generation noncentrosymmetric structure hydrothermal method hydrothermal methodthe UV nonlinear optical material
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Constructing ultraviolet nonlinear optical crystals with large second harmonic generation and short absorption edges by using polar tetrahedral S_(2)O_(3)groups
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作者 Shixian Ke Huixin Fan +2 位作者 Chensheng Lin Ning Ye Min Luo 《Inorganic Chemistry Frontiers》 2023年第9期2811-2817,共7页
It is generally considered difficult for traditional sulfates to exhibit strong second harmonic generation(SHG)responses and large birefringence values because SO_(4)groups are nonpolar tetrahedral structures.However,... It is generally considered difficult for traditional sulfates to exhibit strong second harmonic generation(SHG)responses and large birefringence values because SO_(4)groups are nonpolar tetrahedral structures.However,by theoretical calculations,we found that polar tetrahedral S_(2)O_(3)shows great improvements in anisotropy and second order polarizability compared to SO_(4)while the wide band gap can be preserved. 展开更多
关键词 wide band gap theoretical calculationswe ultraviolet nonlinear optical crystals second harmonic generation large birefringence values traditional sulfates second order polarizability polar tetrahedral s o
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Incorporating rare-earth cations with moderate electropositivity into iodates for the optimized second-order nonlinear optical performance
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作者 Lin Lin Longhua Li +3 位作者 Chao Wu Zhipeng Huang Mark G.Humphrey Chi Zhang 《Inorganic Chemistry Frontiers》 2020年第15期2736-2746,共11页
Infrared(IR)nonlinear optical(NLO)materials have attracted tremendous interest for civil and military applications,but it remains a great contemporary challenge to develop high-effciency NLO crystals that possess suff... Infrared(IR)nonlinear optical(NLO)materials have attracted tremendous interest for civil and military applications,but it remains a great contemporary challenge to develop high-effciency NLO crystals that possess suffciently high second-harmonic generation(SHG)effciencies coupled to wide transparency ranges and high laser damage thresholds.A series of new hydrous rare-earth iodates RE(IO_(3))_(3)·(H_(2)O)(RE=Y 1,Eu 2)and La_(2)(IO_(3))_(6)(H_(2)O)(3)have been synthesized through facile hydrothermal methods.1 and 2 are isostructural,crystallizing in the polar space group P21,while 3 crystallizes in the polar space group Pc.1-3 feature three-dimensional(3D)frameworks composed of alternately connected corner-shared dis torted[REO_(x)]polyhedra(RE=Y,Eu,and La;x=8,9)and[IO_(3)]^(−)groups.Optical studies showed that 1–3 exhibit good NLO properties,including strong SHG intensities(3.0×(1),4.5×(2),and 1.5×KH_(2)PO_(4)(3)),large band gaps(4.12(1),4.36(2),and 4.24 eV(3),with 2 possessing the largest band gap among the known SHG-active rare-earth-based iodates,high laser damage thresholds(LDT)(53×(1),43×(2),and 44×AgGaS_(2)(3)),and wide transparency ranges(ca.3.0–11.3μm)in the mid-IR region covering two criti cal IR transparency windows;1–3 are therefore potential candidate NLO materials.Density functional theory calculations on 1–3 confirm that their strong SHG responses and large band gaps are mainly derived from the synergistic effect of[IO_(3)]^(−)groups and rare-earth oxide polyhedra[REOx]in their 3D frameworks.We conclude that the introduction of rare-earth cations with moderate electropositivity into iodates may optimize the balance between SHG effciency and optical band gaps,the key requirement for high-performance NLO materials for practical applications. 展开更多
关键词 moderate electropositivity iodates infrared nonlinear optical materials second order nonlinear optical performance hydrous rare earth iodates second harmonic generation efficiency facile hydrothermal methods rare earth cations
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AAg_(2)PS_(4)(A=K,Na/K):the first-type of noncentrosymmetric alkali metal Ag-based thiophosphates exhibiting excellent second-order nonlinear optical performances
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作者 Wenfeng Zhou Bingxuan Li +1 位作者 Wenlong Liu Sheng-Ping Guo 《Inorganic Chemistry Frontiers》 2022年第19期4990-4998,共9页
The exploration of new infrared(IR)nonlinear optical(NLO)crystals with large second-harmonic generation(SHG)responses and high laser-induced damage thresholds(LIDTs)concurrently is urgently needed and challenging.Here... The exploration of new infrared(IR)nonlinear optical(NLO)crystals with large second-harmonic generation(SHG)responses and high laser-induced damage thresholds(LIDTs)concurrently is urgently needed and challenging.Herein,the first-type of noncentrosymmetric(NCS)alkali metal Ag-based thiophosphates KAg_(2)PS_(4)(1)and(Na_(0.30)K_(0.70))Ag_(2)PS_(4)(2)were successfully synthesized using a high-temperature solid-state method. 展开更多
关键词 large second harmonic generation noncentrosymmetric second order nonlinear optical alkali metal ag based thiophosphates infrared nonlinear optical high laser induced damage thresholds
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First polar quaternary sulphide CsLiGa_(6)S_(10) with mixed ordered alkali cations displaying excellent infrared nonlinear optical properties
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作者 Zi Wang Bin-Wen Liu Guo-Cong Guo 《Inorganic Chemistry Frontiers》 2022年第24期6554-6560,共7页
Infrared(IR)nonlinear optical(NLO)materials with simultaneous strong NLO coefficient and high laserinduced damaged threshold(LIDT)are the urgently desired optical performance NLO materials in laser application.Here,tw... Infrared(IR)nonlinear optical(NLO)materials with simultaneous strong NLO coefficient and high laserinduced damaged threshold(LIDT)are the urgently desired optical performance NLO materials in laser application.Here,two different electropositive alkali elements are concurrently incorporated into a tetrahedral GaS_(4) anionic framework,affording the first polar quaternary sulphide CsLiGa_(6)S_(10)(CLGS)with mixed ordered alkali cations through the solid-state method.CLGS displays a wide band gap(3.25 eV)originating from the GaS_(4) anionic framework and assistant of the‘dimensional reduction’effect by involving two alkali cations.This merit,accompanied by extremely small anisotropy of the thermal expansion of crystal CLGS(0.05)enhances the LIDT(51.0 MW cm^(2))of 4.5 times that of benchmark AgGaS_(2)(11.3 MW cm^(2))at 1064 nm with the pulse width of 10 ns.Phase CLGS adopts a diamond-like anionic framework in which all tetrahedra are arranged in a highly oriented manner,providing a critical contribution to modest second-harmonic generation 0.7 times that of AgGaS_(2) with a phase-matchable behaviour at the 1910 nm laser.These attributes,along with broad transmittance,warrant the further exploration of potential IR NLO chalcogenides containing multiple alkali cations. 展开更多
关键词 mixed ordered alkali cations second harmonic generation polar quaternary sulphide infrared nonlinear optical materials alkali cations laser induced damaged threshold electropositive alkali elements chalcogenides
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非线性谐波法在叶轮机械非定常计算中的应用 被引量:11
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作者 药晓江 董景新 +2 位作者 尚捷 祝昭 隋俊友 《推进技术》 EI CAS CSCD 北大核心 2016年第4期632-639,共8页
非线性谐波法(NLH)进行叶轮机械非定常计算,具有占用资源少、计算时间短等优点,本文探讨了该方法在叶轮机械三维瞬态非定常流场计算中的应用。采用非线性谐波法和传统双时间步法对跨风速风扇和液力涡轮分别进行非定常计算分析。分析表明... 非线性谐波法(NLH)进行叶轮机械非定常计算,具有占用资源少、计算时间短等优点,本文探讨了该方法在叶轮机械三维瞬态非定常流场计算中的应用。采用非线性谐波法和传统双时间步法对跨风速风扇和液力涡轮分别进行非定常计算分析。分析表明,在相同计算机硬件条件下,两种方法达到相同的计算精度,非线性谐波法可节省40%的计算时间。探讨了关键参数谐波阶次对计算精度的影响,结果表明,对于高雷诺数进口条件下的跨风速风扇采用三阶谐波逼近即可达到与传统双时间步法相当的计算精度;对于低雷诺数进口条件下的不可压缩液力涡轮,采用二阶谐波逼近即可达到与双时间步法相当的计算精度。 展开更多
关键词 非定常 非线性谐波法 谐波阶次 叶轮机械
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±800kV换流变压器阀侧干式套管的损耗分析 被引量:25
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作者 张施令 彭宗仁 吴昊 《电网技术》 EI CSCD 北大核心 2014年第7期1758-1764,共7页
换流变压器阀侧用干式直流套管的电、热性能相互影响,因此实际运行中发生的电气绝缘失效与其热性能有直接联系。基于此,有必要对特高压换流变压器干式套管的损耗进行定量分析。换流变压器干式套管的总体损耗主要由载流结构涡流发热和套... 换流变压器阀侧用干式直流套管的电、热性能相互影响,因此实际运行中发生的电气绝缘失效与其热性能有直接联系。基于此,有必要对特高压换流变压器干式套管的损耗进行定量分析。换流变压器干式套管的总体损耗主要由载流结构涡流发热和套管芯体介质焦耳发热2部分构成,且实际承受的电流和电压波形均含有大量高次谐波成分。首先通过高压换流变干式套管的具体结构建立了芯子介质和载流结构涡流发热的理论计算模型,然后在实验室条件下获取了干式套管芯子用环氧浸纸复合绝缘的温变、频变非线性特性。进一步,基于频域有限元法,提出了换流变干式套管损耗的数值计算方法。最后,应用上述数值计算结果,分析了换流变压器干式套管在实际运行中发生绝缘失效的可能起因。研究结果可用于换流变套管的热性能计算,对高压干式套管现场运行、维护和事故分析具有一定指导意义。 展开更多
关键词 干式直流套管 损耗 高次谐波 非线性 频域有限元
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一维非线性声波传播特性 被引量:10
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作者 张世功 吴先梅 +1 位作者 张碧星 安志武 《物理学报》 SCIE EI CAS CSCD 北大核心 2016年第10期130-137,共8页
针对一维非线性声波的传播问题进行了有限元仿真和实验研究.首先推导了一维非线性声波方程的有限元形式,含有高阶矩阵的非线性项导致声波具有波形畸变、谐波滋生、基频信号能量向高次谐波传递等非线性特性.编制有限元程序对一维非线性... 针对一维非线性声波的传播问题进行了有限元仿真和实验研究.首先推导了一维非线性声波方程的有限元形式,含有高阶矩阵的非线性项导致声波具有波形畸变、谐波滋生、基频信号能量向高次谐波传递等非线性特性.编制有限元程序对一维非线性声波进行了计算并对仿真得到的畸变非线性声波信号进行处理,分析其传播性质和物理意义.为验证有限元计算结果,开展了水中的非线性声波传播的实验研究,得到了不同输入信号幅度激励下和不同传播距离的畸变非线性声波信号.然后对基波和二次谐波的传播性质进行详细讨论,分析了二次谐波幅度与传播距离和输入信号幅度的变化关系及其意义,拟合出二次谐波幅度随传播距离变化的方程并阐述了拟合方程的物理意义.结果表明,数值仿真信号及其频谱均与实验结果有较好的一致性,证实计算方法和结果的正确性,并提出了具有一定物理意义的二次谐波随传播距离变化的简单数学关系.最后还对固体中的非线性声波传播性质进行了初步探讨.本研究工作可为流体介质中的非线性声传播问题提供理论和实验依据. 展开更多
关键词 非线性声波 二次谐波 有限元
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用THG法测量液体三阶非线性极化率X^(3) 被引量:2
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作者 贾振红 李劬 周骏 《量子电子学报》 CAS CSCD 1997年第3期248-253,共6页
本文首次提出了一种测量液体三阶极化率的实验方法.它克服了以往测量方法中实验装置复杂的缺点,消除了空气和容器的三次谐波信号对测量结果的影响,从而排除了实验中的系统误差.在实验上对推拉到偶氛有机材料的三阶极化率X(3)进行... 本文首次提出了一种测量液体三阶极化率的实验方法.它克服了以往测量方法中实验装置复杂的缺点,消除了空气和容器的三次谐波信号对测量结果的影响,从而排除了实验中的系统误差.在实验上对推拉到偶氛有机材料的三阶极化率X(3)进行了测量. 展开更多
关键词 THG法 三阶 非线性极化率 非线性光学
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静电场对强激光场中氢原子产生高次谐波的影响 被引量:2
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作者 金成 周效信 赵松峰 《量子电子学报》 CAS CSCD 北大核心 2007年第2期194-201,共8页
利用分裂算符方法数值求解了真实氢原子在强激光场和静电场作用下的含时薛定谔方程,研究了静电场对强激光场中氢原子产生高次谐波的影响。研究表明,静电场加入后,奇次谐波的强度有所降低,并且谐波谱中出现偶次谐波和双平台结构。利用小... 利用分裂算符方法数值求解了真实氢原子在强激光场和静电场作用下的含时薛定谔方程,研究了静电场对强激光场中氢原子产生高次谐波的影响。研究表明,静电场加入后,奇次谐波的强度有所降低,并且谐波谱中出现偶次谐波和双平台结构。利用小波变换,观察了高次谐波在不同时刻的发射情况。借助于半经典理论,解释了在静电场作用下高次谐波发生变化的机制。 展开更多
关键词 非线性光学 高次谐波 分裂算符方法 小波变换 强激光场 静电场
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基于速度势分离法的波物相互作用完全非线性数值模拟 被引量:1
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作者 周斌珍 滕斌 +1 位作者 宁德志 齐江辉 《水动力学研究与进展(A辑)》 CSCD 北大核心 2015年第4期433-439,共7页
该文基于势流理论和高阶边界元方法,建立了开敞水域波浪与三维物体相互作用的完全非线性数值模型。采用速度势分离技术,将总速度势分离成入射势和散射势,入射势通过理论解给定。采用混合欧拉-拉格朗日方法追踪流体瞬时水面,引进虚拟函... 该文基于势流理论和高阶边界元方法,建立了开敞水域波浪与三维物体相互作用的完全非线性数值模型。采用速度势分离技术,将总速度势分离成入射势和散射势,入射势通过理论解给定。采用混合欧拉-拉格朗日方法追踪流体瞬时水面,引进虚拟函数耦合求解波浪力和运动方程,自由水面网格仅在初始时刻生成一次,随后采用弹簧近似法在不改变网格节点排列的情况下对瞬时水面进行网格重构。利用所建立模型模拟完全非线性波浪对固定圆柱的绕射作用,并对规则浪三倍频作用下漂浮圆柱的共振响应进行了研究。 展开更多
关键词 高阶边界元方法 完全非线性 速度势分离 波物相互作用 三阶共振
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KNa_(2)La_(2)(BO_(3))_(3):a shortite-type lanthanide borate exhibiting strong nonlinear optical activity induced by isolated[BO_(3)]triangles and distorted[LaO_(9)]polyhedra
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作者 Jie Song Conggang Li +6 位作者 Jinmiao Jiao Yuheng She Wenli Zhao Fei Liang Ning Ye Zhanggui Hu Yicheng Wu 《Inorganic Chemistry Frontiers》 2023年第18期5488-5495,共8页
The targeted synthesis of ultraviolet(UV)nonlinear optical(NLO)materials with strong second-harmonic generation(SHG)activity and wide transparency window remains a formidable challenge.Herein,a prospective rare-earth ... The targeted synthesis of ultraviolet(UV)nonlinear optical(NLO)materials with strong second-harmonic generation(SHG)activity and wide transparency window remains a formidable challenge.Herein,a prospective rare-earth borate UV NLO crystal,KNa_(2)La_(2)(BO_(3))_(3),was extracted by spontaneous crystallization using a flux method. 展开更多
关键词 nonlinear optical activity flux method second harmonic generation targeted synthesis shortite type ultraviolet lanthanide borate spontaneous crystallization
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用BOXCARS结构的简并四波混频法和三次谐波法测量叶绿素有机聚合物的三阶极化率
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作者 贾振红 周骏 傅冠久 《新疆大学学报(自然科学版)》 CAS 1999年第1期54-56,共3页
报道了利用BOXCARS结构的简并四波混频法(DFWM)和改进的三次谐波法(THG),分别测量一种叶绿素/PVA有机聚合物的三阶非线性极化率.其结果为χ(3)1111(-ω;ω,ω,-ω)=0.4×10-12es... 报道了利用BOXCARS结构的简并四波混频法(DFWM)和改进的三次谐波法(THG),分别测量一种叶绿素/PVA有机聚合物的三阶非线性极化率.其结果为χ(3)1111(-ω;ω,ω,-ω)=0.4×10-12esu.和χ(3)1111(-3ω;ω,ω,ω)=0.7×10-12esu. 展开更多
关键词 简并四波混频 三次谐波 极化率 叶绿素 聚合物
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高阶非线性非自治系统分析研究
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作者 胡建超 王忠 张维 《通信技术》 2009年第12期226-228,共3页
为了更有效的解决高阶非线性非自治系统的求解问题,提出基于等效小参数法的高阶非线性非自治系统的求解方法,应用分解法原理,通过引入谐波平衡和同阶小量相等,建立一类非线性动态系统周期解的逆算符表达的递推算法,将高阶非线性非自治... 为了更有效的解决高阶非线性非自治系统的求解问题,提出基于等效小参数法的高阶非线性非自治系统的求解方法,应用分解法原理,通过引入谐波平衡和同阶小量相等,建立一类非线性动态系统周期解的逆算符表达的递推算法,将高阶非线性非自治系统转化成一个通用方程,然后利用Matlab开发出相应的软件系统,实现计算机自动求解。对包含sin(t)或cos(t)的非线性非自治GENESIO系统和非线性非自治COULLET系统使用等效小参数法进行详细推导,分别求解非自治GENESIO系统和非自治COULLET系统的周期解,该算法具有较高的计算精度和较大的普适性,是求解一类非线性非自治系统周期解的有效方法。 展开更多
关键词 非线性系统 周期解 等效小参数法 谐波平衡 同阶小量
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磁光克尔效应中二阶非线性极化率χ^(2)的研究
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作者 蔡晃 黄志高 赖恒 《福建师范大学学报(自然科学版)》 CAS CSCD 1999年第1期55-60,共6页
在对称性理论的基础上,导出了不同晶体结构类型、不同的表面和界面、不同的磁化强度M取向下的二阶非线性极化率χ(2)的形式.通过输入和输出光极化强度的合适组合,不同的二阶非线性极化率χ(2)可以通过表面SHG技术来测量.
关键词 对称性 非线性极化率 极化强度 磁光克尔效应
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