Based on the propagation law of the cross - spectral density function in the space - frequency domain , the properties of polychromatic vector gsm beams through a paraxial optical abcd system are studied . the analytical propagation expressions for the cross - spectral density matrix of vector gsm beams passing through a paraxial optical abcd system are derived , which permits us to study the propagation properties of vector gsm beams , including the propagation - induced polarization changes , effect of the spectrum bandwidth and irradiance distributions in a unique way . there are some applications of the theoretical results 基于空间一频率域中交叉谱密度函数的传输理论,研究了多色矢量gsm光束通过abcd光学系统传输时偏振特性的变化规律,首次推出了矢量高斯一谢尔模刑fgsm )光束通过近轴abcd光学系统交叉谱密度矩阵的传输公式,并对矢量gsm光束传输中偏振的变化、谱宽的影响和强度的分布等进行了统一研究。
In the paper , firstly , present the formulation and application of proper orthogonal decomposition of covariance and cross - power spectral density matrices are presented in the analysis of wind load effects on structures . then the dynamic response of linear structures subjected to random loads is analyzed by a technique called double modal transformation ( dmt ) that is expressed through a double series whose terms depend on structural and loading modes 本论文中首先通过求相关矩阵和互功率谱密度矩阵特征值问题给出了本征正交分解的公式,并利用pod与结构模态相结合的双模态方法来分析结构的动态响应,主要讨论了截断高阶荷载模态对风致响应的影响。
The inconsistent excitation can be decomposed into a series of irregular incident waves in terms of the spectral decomposition scheme of the hermitian matrix , with which the coherency function of the ground motions under the inconsistent excitation can be obtained numerical results are given to show its stability and rationality 该方法将随机输入下的波动分析问题转换为多个虚拟激励下的确定性波动分析组合问题,从而可以方便地获得场地波动观测量之间的谱密度矩阵,进而计算给出工程场地的地震动相干函数本文还用数值模拟的办法对所提出方法的合理性和稳定性进行了探讨。
谱: table; chart; register密度: density; thickness矩阵: matrix; array密度矩阵: density matrix辐射密度矩阵: radiation density matrix密度矩阵理论: density matrix theory自旋密度矩阵: spin density matrix二阶约化密度矩阵: second order reduced density matrix密度矩阵重整化群: density matrix renormalization group一阶约化密度矩阵: first order reduced density matrix密度矩: density matrix谱密度: ectral de ity; spectral density; spectraldensity; spectrum density刚度矩阵: rigidity matrix; stiffne matrix; stiffness matrix高度矩阵: altitude matrix劲度矩阵: stiffness matrix; stiffnessmatrix劲度矩阵法: stiffness matrix method挠度矩阵: flexibility matrix强度矩阵: intensity matrix柔度矩阵: flexibility matrix; matrix flexibility入度矩阵: in-degree matrix速度矩阵: velocity matrix梯度矩阵: gradient matrix协度矩阵: covarian matrix发射谱密度: emission spectral density功率谱密度: power spectral density (psd); psd ( power spectral density ); psd power spectral density; psd,power spectrum density; spectral density