新基下的棱镜作用矩阵

证明了通常在物空间坐标系或在像空间坐标系的基下写出的反射棱镜作用矩阵之复本征矢量的实部、虚部和实本征矢量正交而形成一组标准正交基。在这组标准正交基下，作用矩阵是一个显含“棱镜物像方向共轭定理”的转动矩阵。并解积了作用矩阵复本征矢量的物理意义。

A reflection matrix for prisms in the new base

This paper proves that the real and imaginary parts of the complex eigenvector of a reflection matrix given in the object space or in the image space coordinate system are orthogonal to each other and they are both orthogonal to the real eigenvector of the same reflection matrix. So the real and the imaginary parts of the complex elgenvector and the real eigenvector of a reflection matrix form a set of base. In this base the reflection matrix is a rotation matrix which manifests the theorem of image orientation for reflecting prisms and the physical meaning of the complex eigenvector of a reflection matrix is explained.