相对论像差对光在运动参考系中反射规律及反射面形状的影响
Relativistic aberration effect on the the light reflection law and the form of reflecting surface in a moving reference frame
摘要：
考察了参考系的相对论运动对光反射规律的影响。该方法基于对入射光、法向光和反射光三种光信号施加相对论像差效应。移动参考系中的反射定律的形式被实质性地修改，并且包括作为参考系的速度矢量的附加参数。它示出的反射光线，由一个移动的观察者测量，一般不会在同一平面的入射和正常的光线。本文给出了三维空间中任意刚性曲面相对于参考系作任意方向相对运动时的形状变换的一般方法。该方法是基于光信号的处理和光速在洛伦兹变换下的不变性。它表明，一个移动的观察者将测量一个平面表面作为双曲面。那个观察者也会把球面当作椭球体来测量。平面上的一条直线在运动的观察者看来是一条双曲线。整个分析扩展到均匀介质的情况。
英文摘要：
The influence of the relativistic motion of the reference frame on the light reflection law is investigated. The method is based on applying the relativistic aberration affect for three light signals: incident, normal and reflected rays. The form of the reflection law in the moving reference frame is substantially modified and includes an additional parameter which is the velocity vector of the reference frame. It is shown that the reflected ray, as measured by a moving observer, would not in general be in the same plane as the incident and normal rays. A general method to transform the form of any rigid surface in 3-dimensional space with respect to the arbitrary directed relative motion of the reference frame is detailed. This method is based on the light signals processes and the invariance of the light velocity under Lorentz transformations. It is shown that a moving observer will measure a plane surface as a hyperboloid. That observer will also measure a spherical surface as an ellipsoid. A right line in the plane is seen by a moving observer as a hyperbola. The whole analysis is extended to the case of a uniform media.
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