一种新的光场表示方法

本文提出了一种新的光场表示方法。证明它可以导致整个光传播的波动理论取较为方便和完全的矩阵形式。给出了这一矩阵理论的某些普遍基础。还证明了作用矩阵在普遍情形下收敛。本文提出的场表示式能直观显示在垂直传播轴平面上场的轴对称性质和径向分布特征。它包含着仅有一个传播轴的一般单色标量波场的共同性质。依靠这个表示式,本文首次揭示出这类波在上述平面上场分布的普遍规律。关键词：

A NEW REPRESENTATION OF THE LIGHT FIELD

A new representation of the light field is proposed in this paper. It is shown that the wave theory of the light propagation can all be putted into a more convenient and more complete scheme of a matrix theory when the new representation is adopted. Some general fundamentals of this matrix theory are given, and the convergence of the action matrix is also proved in the general case.The expression of the light field proposed here involves the general characteristics of the monochromatic scalar wave field with only one propagation axis. It can also demonstrate explicitly the axial symmetry and the radial distribution features of this field on the plane which is perpendicular to the propagation axis. By virtue of this expression, some general laws of the distribution of the field on the plane, including the qualitative law of the distribution of the symmetries of the field along the radial direction, are obtained for the first time.