干涉式光纤陀螺光路系统的物理模型

光路系统的偏振误差极大地制约着光纤陀螺精度的提高。利用相干矩阵和琼斯矩阵对光纤陀螺中光学器件和熔接点的光学参数进行描述,建立了干涉式光纤陀螺光路系统的物理模型。与之前相关文献报道相比,该模型所表达的光路系统更加接近于工程实际。在此基础上,提出一种分析光学器件和熔接点缺陷,以及光路损耗对光纤陀螺偏振误差影响的新方法。该方法可以有效地分析光路系统缺陷对零偏和标度因数的影响,在工程上可作为评价干涉式光纤陀螺光路系统性能的一个途径。     

一维磁光光子晶体的光学特性研究

详细推导了光在斜入射情况下通过磁光介质的4×4传输矩阵,研究了一维磁光光子晶体的光学特性.研究表明,由于光强主要局域在磁光介质层,波长位于光子禁带长波长带边的光通过磁光光子晶体所产生的法拉第旋转角比短波长带边产生的法拉第旋转角大得多.当光以TM偏振入射时,随着角度增大带边光产生的法拉第旋转角逐渐减小;而在TE偏振情况下,带边光产生的法拉第旋转角却随着角度的增大逐渐增大.     

Inverse-preserving Linear Maps Between Spaces of Matrices over Fields

Suppose F is a field different from F2, the field with two elements. Let Mn（F） and Sn（F） be the space of n × n full matrices and the space of n ×n symmetric matrices over F, respectively. For any G1, G2 ∈ {Sn（F）, Mn（F）}, we say that a linear map f from G1 to G2 is inverse-preserving if f（X）^-1 = f（X^-1） for every invertible X ∈ G1. Let L （G1, G2） denote the set of all inverse-preserving linear maps from G1 to G2. In this paper the sets .L（Sn（F）,Mn（F））, L（Sn（F）,Sn（F））, L （Mn（F）,Mn（F）） and L（Mn （F）, Sn （F）） are characterized.     

矩阵方程AXB+CY D=E的三对角中心对称极小范数最小二乘解

本文研究了矩阵方程AXB+CY D=E的三对角中心对称极小范数最小二乘解问题.利用矩阵的Kronecker积和Moore-Penrose广义逆方法,得到了矩阵方程AXB+CY D=E的三对角中心对称极小范数最小二乘解的表达式.     

构造单元刚度矩阵的双参数法

§1.引言 用位移法构造有限元单元刚度矩阵的常规方法如下:设单元为K,位移形函数空间是 ?(K)=Span{N_1,…,N_m}, (1.1)其中N_1,…,N_?是线性无关的多项式.     

Blind convolutive separation method for speech signals via joint block diagonalization

A blind speech source separation method for the overdetermined convolutive mixture model in time-domain is proposed via joint block-diagonalization based on the mutual- independence and short-time stationarity properties of the speech signals. Taking the sum of the F-norms of all off-diagonal sub-matrices as a criterion, a novel joint block-diagonalization method is proposed to estimate the whole mixture matrix through minimizing a sequence of quadratic sub-functions corresponding to mixture sub-matrices. Both theoretical analysis and simulations show that the proposed method has much lower complexity and faster convergence speed than the classical Jacobi-like method with no performance loss. In addition, there are almost no obvious impacts of the channel order and initialization values on the convergence speed.     

Spiking Behavior in Chua's Circuit

Chua ＇s circuit with a slow-fast effect is established under certain parameter conditions. The dynamics of this slow- fast system is investigated. A spiking phenomenon can be observed in the numerical simulation. By introducing slow-fast analysis and a generalized Jacobian matrix at the non-smooth boundaries, the bifurcation mechanism for the periodic spiking solution, different from the smooth case, is discussed.     

A Simple Method for Generating Discrete Multi-Component Integrable Hierarchy

For M×N spectral matrix, a kind of operation ？ which satisfies combination law （a？b）？c=a？（b？c） is introduced. The discrete multi？component zero-curvature equation is deduced by using the new operation ？, and a simple method for constructing discrete multi-component integrable hierarchy is proposed. As its application, the multi-component Toda hierarchy and its two kinds of integrable couplings are worked out.