论文标题

弯曲时空中的麦克斯韦方程:自旋光学近似

Maxwell equations in a curved spacetime: Spin optics approximation

论文作者

Frolov, Valeri P.

论文摘要

我们研究了弯曲的时空中高频电磁波的传播。我们演示了标准几何光学器件的修饰如何允许将螺旋依赖性校正包括到圆形辐射光束的运动方程中。结果,偏振光射线仍然为空,但不是地球曲线。为了实现这些结果,我们构建了与一组(非对数)空射线相关的空帧,并使用这些框架来描述高频波传播。我们称这种方法旋转光学近似。它是完全协变量的,可以在任意时间依赖的重力场中使用。

We study propagation of high-frequency electromagnetic waves in a curved spacetime. We demonstrate how a modification of the standard geometric optics allows one to include the helicity dependent corrections into the equations of motion of circularly polarized beams of radiation. As a result, polarized light rays are still null but not geodesic curves. To achieve these results we construct null frames associated with a set of (non-geodesic) null rays and use these frames for description of the high-frequency wave propagation. We call this approach spin optics approximation. It is completely covariant and it can be used in an arbitrary time-dependent gravitational field.

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