论文标题
在弯曲时空上的材料介质中的光子传播
Photon propagation in a material medium on a curved spacetime
论文作者
论文摘要
我们考虑围绕静态，带电和球体对称的身体的非线性介电介质，重力场是由一般相对性（GR）驱动的。考虑到介电介质上的传播波，我们将光的轨迹描述为Hadamard不连续性给出的有效几何形状上的大地测量。我们分析了在光传播中的有效几何形状的一些后果，与背景重力场的预测有关，其中包括对几何红移和光的重力偏转的校正。我们表明，背景电磁场极化材料介质，因此光的不同极化是通过这些数量上不同的校正来区分的。结果，我们有两种可能的途径，可以在这种构型中进行光轨迹，如果我们关闭电磁场或介电常数是恒定的，则可以重合。我们表明，对于介电介电常数的给定依赖性，与负极化相关的有效度量是合成的。
We consider a nonlinear dielectric medium surrounding a static, charged and spherically symmetric compact body which gravitational field is driven by General Relativity (GR). Considering the propagating waves on the dielectric medium, we describe the trajectory of light as geodesics on an effective geometry given by Hadamard's discontinuities. We analyze some consequences of the effective geometry in the propagation of light, with relation to the predictions of the background gravitational field, that includes corrections on the geometrical redshift and on the gravitational deflection of light. We show that the background electromagnetic field polarize the material medium, such that different polarizations of light are distinguished by different corrections on these quantities. As a consequence, we have two possible paths for the trajectory of light in such configuration, that coincide if we turn off the electromagnetic field or if the permittivity is constant. We show that the effective metric associated to the negative polarization, for a given dependence of the dielectric permittivity, is conformally flat.
