Characterizing the gap eigenmode of shear Alfv′en waves(SAWs) and its interaction with energetic ions is important to the success of magnetically confined fusion. Previous studies have reported an experimental observ...Characterizing the gap eigenmode of shear Alfv′en waves(SAWs) and its interaction with energetic ions is important to the success of magnetically confined fusion. Previous studies have reported an experimental observation of the spectral gap of SAW on the on Large Plasma Device(LAPD)(Zhang et al. 2008 Phys. Plasmas 15 012103), a linear large plasma device(Gekelman et al. 1991 Rev. Sci. Instrum. 62 2875) possessing easier diagnostic access and lower cost compared with traditional fusion devices, and analytical theory and numerical gap eigenmode using ideal conditions(Chang 2014 Ph.D Thesis at Australian National University). To guide experimental implementation, the present work models the gap eigenmode of SAWs using exact LAPD parameters. A full picture of the wave field for previous experiment reveals that the previously observed spectral gap is not global but an axially local result. To form a global spectral gap, the number of magnetic mirrors has to be increased and stronger static magnetic field makes it clearer. Such a spectral gap is obtained for the magnetic field of B0(z) = 1.2 + 0.6 cos[2π(z-33.68)/3.63] with 7.74-m magnetic beach. By introducing two types of local defects(corresponding to Eθ(z0) = 0 and E’θ(z0) = 0 respectively), odd-parity and even-parity discrete eigenmodes are formed clearly inside the gap. The strength of these gap eigenmodes decreases significantly with collision frequency, which is consistent with previous studies. Parameter scans show that these gap eigenmodes can be even formed successfully for the field strength of B0(z) = 0.2 + 0.1 cos[2π(z-33.68)/3.63] and with only four magnetic mirrors, which are achievable by the LAPD at its present status. This work can serve as a strong motivation and direct reference for the experimental implementation of the gap eigenmode of SAWs on the LAPD and other linear plasma devices.展开更多
毫米波线性调频连续波(linear frequency modulated continuous wave,LFMCW)雷达进行低空风切变检测时,会严重受到地杂波信号干扰,并且风速估值模糊。针对该问题,本文提出强杂波背景下利用压缩感知实现低空风切变速度解模糊。该方法依...毫米波线性调频连续波(linear frequency modulated continuous wave,LFMCW)雷达进行低空风切变检测时,会严重受到地杂波信号干扰,并且风速估值模糊。针对该问题,本文提出强杂波背景下利用压缩感知实现低空风切变速度解模糊。该方法依据多重频脉组参差方式下雷达回波的非均匀欠采样特性在角度-多普勒域中构建无模糊冗余字典(感知矩阵),之后利用压缩感知技术提取杂波谱主要分量,估计杂波能量支撑区,建立杂波抑制矩阵,接着基于加权的最小l_(1)范数优化模型实现杂波抑制并恢复出低空风切变在角度-多普勒域中不模糊的稀疏向量,得到风场无模糊多普勒信息,最终求得准确的速度值。展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11405271)the China Postdoctoral Science Foundation(Grant No.2017M612901)+4 种基金the Fund from Chongqing Science and Technology Commission(Grant No.cstc2017jcyjAX0047)Chongqing Postdoctoral Special Foundation(Grant No.Xm2017109)the Fundamental Research Funds for Central Universities,China(Grant No.YJ201796)the Pre-research Key Laboratory Fund for Equipment(Grant No.61422070306)the Fund from the Laboratory of Advanced Space Propulsion(Grant No.LabASP-2017-10)
文摘Characterizing the gap eigenmode of shear Alfv′en waves(SAWs) and its interaction with energetic ions is important to the success of magnetically confined fusion. Previous studies have reported an experimental observation of the spectral gap of SAW on the on Large Plasma Device(LAPD)(Zhang et al. 2008 Phys. Plasmas 15 012103), a linear large plasma device(Gekelman et al. 1991 Rev. Sci. Instrum. 62 2875) possessing easier diagnostic access and lower cost compared with traditional fusion devices, and analytical theory and numerical gap eigenmode using ideal conditions(Chang 2014 Ph.D Thesis at Australian National University). To guide experimental implementation, the present work models the gap eigenmode of SAWs using exact LAPD parameters. A full picture of the wave field for previous experiment reveals that the previously observed spectral gap is not global but an axially local result. To form a global spectral gap, the number of magnetic mirrors has to be increased and stronger static magnetic field makes it clearer. Such a spectral gap is obtained for the magnetic field of B0(z) = 1.2 + 0.6 cos[2π(z-33.68)/3.63] with 7.74-m magnetic beach. By introducing two types of local defects(corresponding to Eθ(z0) = 0 and E’θ(z0) = 0 respectively), odd-parity and even-parity discrete eigenmodes are formed clearly inside the gap. The strength of these gap eigenmodes decreases significantly with collision frequency, which is consistent with previous studies. Parameter scans show that these gap eigenmodes can be even formed successfully for the field strength of B0(z) = 0.2 + 0.1 cos[2π(z-33.68)/3.63] and with only four magnetic mirrors, which are achievable by the LAPD at its present status. This work can serve as a strong motivation and direct reference for the experimental implementation of the gap eigenmode of SAWs on the LAPD and other linear plasma devices.
文摘毫米波线性调频连续波(linear frequency modulated continuous wave,LFMCW)雷达进行低空风切变检测时,会严重受到地杂波信号干扰,并且风速估值模糊。针对该问题,本文提出强杂波背景下利用压缩感知实现低空风切变速度解模糊。该方法依据多重频脉组参差方式下雷达回波的非均匀欠采样特性在角度-多普勒域中构建无模糊冗余字典(感知矩阵),之后利用压缩感知技术提取杂波谱主要分量,估计杂波能量支撑区,建立杂波抑制矩阵,接着基于加权的最小l_(1)范数优化模型实现杂波抑制并恢复出低空风切变在角度-多普勒域中不模糊的稀疏向量,得到风场无模糊多普勒信息,最终求得准确的速度值。
