直线加速Kinnersley黑洞中Dirac粒子的热辐射

在直线加速Kinnersley时空中，将相互耦合的Dirac方程化为二阶方程，采用新的乌龟坐标变换，在视界面附近消除二阶方程中的耦合化成了标准波动方程，得到辐射温度函数和Hawking热辐射谱.     

任意加速带电动态黑洞中Dirac粒子的Hawking辐射

在任意加速带电动态时空中，选取零标架、计算出旋系数，把四个耦合的Dirac方程中化成两个耦合的方程，采用Tortoise坐标变换将其两个耦合的方程变换成Tortoise坐标下的形式，在黑洞视界面附近化成了典型的波动方程，得到在视界面附近Dirac粒子的Hawking辐射温度，成功地导出了Hawking热谱公式. 关键词： Dirac方程 Hawking辐射 黑洞 Tortoise坐标变换     

新乌龟坐标变换下的动态Kinnersley黑洞的Hawking辐射

采用两种新的乌龟坐标变换,用改进的Damour-Ruffini方法研究了动态Kinnersley黑洞的Hawking辐射.在新乌龟坐标变换下,将Klein-Gordon方程在视界附近变换成平直时空的标准波动方程形式,得到了黑洞的表面引力及Hawking温度,该温度在黑洞表面不同点有不同的值.值得注意的是,旧的乌龟坐标变换存在量纲错误,新乌龟坐标变换没有量纲问题,选不同的旧乌龟坐标变换计算同一黑洞所得结果不同,但是采用不同的新乌龟坐标变换所得结果仍然不同. 关键词： 黑洞 乌龟坐标变换 Hawking辐射 Klein-Gorden方程     

电磁直线加速动态黑洞时空中Dirac粒子的Hawking辐射

研究了作直线加速运动的电磁黑洞视界面上Dirac粒子的Hawking 辐射.首先，构造对称化零 标架，计算旋系数，导出Dirac方程，并对其进行化简.然后，通过引入广义乌龟坐标，在视 界面上将Dirac方程退耦.利用Damour-Ruffini方法，求出了温度以及热谱公式，并对所得结 果进行了讨论. 关键词： 加速动态黑洞 Dirac粒子 Dirac方程 Hawking辐射     

用新乌龟坐标变换研究动态Kerr黑洞的Hawking辐射

本文用一种新的乌龟坐标变换和改进的Damour-Ruffini方法研究了动态Kerr黑洞的Hawking辐射,得到了随时间和纬度角而变化的局域温度和具有准黑体谱形式的Hawking辐射谱.其结果与采用通常的乌龟坐标变换所得结果有所不同,而通常的乌龟坐标变换在量纲上存在一定的问题,本文的结果也许更为合理. 关键词： Hawking辐射 动态Kerr黑洞 改进的Damour-Ruffini方法 新乌龟坐标变换     

变加速直线运动黑洞中Weyl中微子的Hawking辐射

利用推广的乌龟坐标变换法研究了作变加速直线运动的Kinnersley黑洞中Weyl中微子的量子 热效应，导出了局部的事件视界面方程和Hawking温度以及中微子的热辐射谱.结果表明视界 的位置和温度不仅随时间变化，而且明显依赖于方位角. 关键词： Hawking辐射 Weyl中微子 动态Kinnersley黑洞 广义乌龟坐标变换     

从乌龟坐标在动态Vaidya黑洞上的推广谈起

从一类参数未定的一般形式的乌龟坐标变换出发, 找出了在动态Vaidya黑洞背景下能将波动方程化为标准形式且无发散的乌龟坐标所满足的条件. 结果表明, 以乌龟坐标变换为主要特征的Damour-Ruffini方法, 用来计算动态黑洞的Hawking辐射时, 只适用于事件视界, 无法应用于表观视界.     

Vaidya-Bonner黑洞的费米子隧穿

运用费米子隧穿的理论,对Vaidya-Bonner黑洞的费米子Hawking辐射进行研究.使用随动坐标变换,并假设γ^μ矩阵的一个合理形式,从而得到了Vaidya-Bonner黑洞的自旋为1/2的粒子的隧穿辐射行为. 关键词： Vaidya-Bonner黑洞 Dirac方程 Hawking辐射 费米子隧穿     

Kerr-Newman时空中荷电Dirac粒子的Hawking辐射

本文研究任意Kerr-Newman黑洞视界曲面上荷电Dirac粒子的Hawking辐射,首先构造了一套“对称零标架”,用这套零标架计算了旋系数,导出了Dirac方程,在视界曲面附近解Dirac方程。得到荷电Dirac粒子四分量波函数的显示表式。利用解析延拓技巧,最后得到荷电Dirac粒子Hawking辐射的热谱公式。 关键词：     

一般加速带电带磁的动态黑洞中标量场的熵

在一般加速带电带磁的动态黑洞中,化简Klein-Gordon场方程,利用乌龟坐标变换,得到在视界面附近的辐射温度.用薄膜brick-wall模型,选择适当的截断因子和薄膜厚度,得到在视界面附近薄膜上的熵,结果表明黑洞熵与视界面积成正比. 关键词： 黑洞 Hawking温度 薄膜brick-wall模型 熵     

辐射换热的输运模拟研究

本文从辐时与传输的基本原理出发，引进辐射推动力及流热参数的概念，建立了一般情况下辐射传热的二阶微分方程的数学模型。该方程具有传输方程的特点，使得辐射传热的处理在方法上与导热、流动问题相一致。     

基于图像的飞行器红外辐射特性测量

通过将目标在一定波段内的红外辐射等效为红外成像系统前一定距离下黑体在对应波段内的红外辐射,建立了等效辐射方程。根据黑体辐射定标实验数据,利用非线性回归方法确定了在不同的积分时间条件下红外凝视成像系统输出红外图像的灰度值与在一定距离下的黑体温度之间的定量关系,建立了辐射定标方程。在Visual C++6.0平台下,在对红外目标图像进行SUSAN滤波等预处理后,分析了已知目标距离的红外图像的灰度均值。首先根据辐射定标方程计算出目标等效为黑体的温度,然后利用等效辐射方程反推目标的红外辐射强度,以达到根据跟踪的红外图像确定红外目标辐射特性的目的。此项研究不仅可以为目标识别提供目标分类、识别和辨认所必需的光谱数据库,而且还可以为红外预警提供重要的参考数据。     

Generation of tunable electromagnetic radiation by a dust ripple in dusty plasmas

It is shown that a pre-existing dust ripple in a dusty plasma may excite tunable electromagnetic radiation. For our purposes, we use the Maxwell equation and the electron equation of motion to derive a Mathieu equation in the presence of a spatially oscillating dust ripple. The Mathieu equation admits instability of an electromagnetic wave. Criteria under which instability occurs are presented. Explicit expression for the electromagnetic radiation frequency and the growth rate are obtained. The possible relevance of our investigation to nonthermal electromagnetic radiation sources from laboratory and cosmic dusty plasmas is considered.     

Inverse Problems of the Near-Field Radiothermometry

It is shown that the one-dimensional problem of near-field microwave radiometry in the case of a smoothly inhomogeneous medium can be reduced to an integral equation similar to the well-known solution of the radiation transfer equation. The kernel of this integral equation depends on only one parameter determined experimentally. This makes it possible to determine the subsurface temperature profiles by using a set of near-field antennas of arbitrary design for which the sounding-depth range is overlapped by the effective depth of formation of the radiation received by these antennas. In the case of near-field measurements, the previously obtained joint solution of the radiation transfer equation and the thermal diffusion equation can also be modified and applied for monitoring the subsurface temperature profile using the temporal dependence of the received signal.     

Time-dependent radiative transfer with automatic flux limiting

We discuss a simple method for solving the time-dependent transfer problem. This scheme is automatically flux-limited and affords physical insight into how flux limitation occurs. We then develop a second-order, time-dependent radiation energy equation that is similar in form to the diffusion limit radiation energy equation. This time-dependent energy equation approaches physically reasonable equations in optically thick and thin regions. Computational aspects of solving this energy equation are discussed.     

自由电子激光辐射场的经典理论分析

以经典电动力学分析自由电子激光辐射场,讨论辐射场的一般特性,并利用麦克斯韦方程组、波动方程、电子连续性方程以及相对论电子运动的洛伦兹力方程和能量方程一起系统地建立了自由电子激光辐射场的自洽解方法. 关键词：     

Theory of transfer with delay for trapping of nonstationary acoustic radiation in a resonant randomly inhomogeneous medium

The propagation of a quasimonochromatic wave packet of acoustic radiation in a discrete randomly-inhomogeneous medium under the condition that the carrier frequency of the packet is close to the resonance frequency of Mie scattering by an isolated scatterer is studied. The two-frequency Bethe-Salpeter equation in the form of an exact kinetic equation that takes account of the accumulation of the acoustic energy of the radiation inside the scatterers is taken as the initial equation. This kinetic equation is simplified by using the model of resonant point scatterers, the approximation of low scatterer density, and the Fraunhofer approximation in the theory of multiple scattering of waves. This leads to a new transport equation for nonstationary radiation with three Lorentzian delay kernels. In contrast to the well-known Sobolev radiative transfer equation with one Lorentzian delay kernel, the new transfer equation takes account of the accumulation of radiation energy inside the scatterers and is consistent with the Poynting theorem for nonstationary acoustic radiation. The transfer equation obtained with three Lorentzian delay kernels is used to study the Compton-Milne effect—trapping of a pulse of acoustic radiation diffusely reflected from a semi-infinite resonant randomly-inhomogeneous medium, when the pulse can spend most of its propagation time in the medium being “trapped” inside the scatterers. This specific albedo problem for the transfer equation obtained is solved by applying a generalized nonstationary invariance principle. As a result, the function describing the scattering of a diffusely reflected pulse can be expressed in terms of a generalized nonstationary Chandrasekhar H-function, satisfying a nonlinear integral equation. Simple analytical asymptotic expressions are found for the scattering function for the leading and trailing edges of a diffusely reflected δ-pulse as functions of time, the reflection angle, the mean scattering time of the radiation, the elementary delay time, and the parameter describing the accumulation of radiation energy inside the scatterers. These asymptotic expressions demonstrate quantitatively the retardation of the growth of the leading edge and the retardation of the decay of the trailing edge of a diffusely reflected δ-pulse when the conventional radiative transfer regime goes over to a regime of radiation trapping in a resonant randomly-inhomogeneous medium. Zh. éksp. Teor. Fiz. 113, 432–444 (February 1998)     

同步辐射的相对论推导

根据加速带电粒子在与其瞬时对静止的参考系中的辐射公式,通过场的相对论变换,直接导出同步辐射粒子的辐射公式。     

开口/封闭薄壳体声辐射和散射的统一边界积分方程解法

推导了在二维和三维空间下开口和封闭薄壳体在任意阻抗边界条件下声辐射和散射的统一边界积分方程.相对于以前的求解方法,该方程求解声辐射和散射问题具有相同的影响矩阵,能够同时求解薄壳体气动和振动噪声的辐射和散射现象,以及分析壳体声阻抗对声波传播的影响.推导的方程可以应用于叶轮机械、管道等噪声和消声器消声性能的预测等方面.在此方程基础上,可以进一步考虑运动边界和运动介质对声辐射和散射的影响. 关键词： 薄壳体 声阻抗 积分方程 边界元方法