Resonant response of a thermalized ensemble of nonlinear oscillators

The analysis is carried out of the response of the center of gravity (dipole moment) of the distribution of noninteracting thermalized nonlinear oscillators to a sinusoidal driving force. Heat bath coupling is modeled by damping and noise. The driving is weak, but the frequency is resonant, so that there is a nonlinear resonance in the phase space. The response has a linear part that can be obtained from the perturbation analysis and a small nonlinear correction that is specific for the resonant structure.     

激光增益系数ζ(ν)和佛克脱函数的近似积分计算—兼论δ函数在近似计算中的应用

本文分析了激光增益系数ζ(υ)和佛克脱积分函数I(υ,υ_0).指出两函数的积分困难均来源于洛伦兹分布函数和多普勒分布函数的褶积.文中进一步分析了洛伦兹函数φ_N和多普勒函数φ_D,并引出函数的峰宽比α,指出当峰宽比α_N>>α_D时,可以把积分号内的φ_N当作δ函数来处理.反之也然.这样就很容易得到ζ(υ)和I(υ,υ_0)的近似积分.     

具有一层空气隙的矩形微带天线谱域导抗法

对具有一层空气隙的矩形微带天线进行了分析，利用谱域导抗矩阵推导出谱域中的并矢格林函数，利用伽略金法导出了谐振频率的本征方程，并从基片上表面切向电场分量的傅里叶变换直接得出辐射方向图．本文计算出的谐振频率和辐射方向图与其它的理论数值及文献中的测量结果相比较，其一致性很好．     

不共轴光学系统自动优化中的有关问题

描述不共轴光学系统计算机优化中坐标变换与逆变换、“入瞳”与光线坐标、像面基准与质量函数定义的一致性问题。     

武定县地域功能区划分方法研究

县级功能区划作为综合区划,既是落实省级主体功能区规划,又是编制县域空间发展规划的基础。首先探讨县级功能区划方法,然后以武定县为例运用主导因素法划分出城镇区、资源开发区、开发预留区、农业区、生态区等功能区。研究发现：(1)县级功能区划既要考虑县域资源环境本底与发展愿景,又要兼顾省级主体功能区对本县定位;(2)区划评价单元须考虑基础数据可获得性及各单项指标评价单元的统一;(3)指标体系选取以省级主体功能区划指标体系为参照,具有可行性;(4)单一区划方法无法合理区划县级各功能区单元,需多种方法相结合。     

一新型金属有机化合物在皮秒激光下的三阶非线性光学性质研究

利用皮秒激光光源,采用z扫描技术研究了一种新型金属有机化合物的三阶非线性光学性质以及光限幅特性.z扫描研究结果表明,这种化合物在1064 nm波长激光激发下的三阶非线性极化率χ(3)为3.8×１０-14 esu,并且存在双光子吸收.光限幅实验结果显示双光子吸收和非线性折射两种不同机制决定了该化合物的光限幅特性.     

Spinor Green’s functions via spherical means on products of space forms

We explicitly compute the Green’s function of the spinor Klein–Gordon equation on the Riemannian and Lorentzian manifolds of the form _M0×?×_MN$M_0\times ?\times M_N$, with each factor being a space of constant sectional curvature. Our approach is based on an extension of the method of spherical means to the case of spinor fields and on the use of Riesz distributions.     

Influence of Generalized (r, q) Distribution Function on Electrostatic Waves

Non-Maxwellian particle distribution functions possessing high energy tail and shoulder in the profile of distribution function considerably change the damping characteristics of the waves. In the present paper Landau damping of electron plasma (Langmuir) waves and ion-acoustic waves in a hot, isotropic, unmagnetized plasma is studied with the generalized (r,q) distribution function. The results show that for the Langmuir oscillations Landau damping becomes severe as the spectral index r or q reduces. However, for the ion-acoustic waves Landau damping is more sensitive to the ion temperature than the spectral indices.