构建一个矢量场高斯光束的尝试

The Construction of a Vector Field of Gaussion Optical Beam

文章提出一个横向激化的矢量场的高斯光束。它在一定条件下 ,满足时谐电磁波传输的Helmholtz方程 ,它严格满足自由空间场量的无源场条件 ;它的模 |E|,而不是它的任意直角分量Ei,有高斯光束标量场解的完全相同数学形式 ,模也是归一化的 ,从而具有高斯光束标量场解的特征 ;这样一个解 ,与标量场解一样 ,都是Helmholtz方程的近似解。与标量场比较 ,它含有激化形式的信息 ,在必须涉及激化的研究或应用领域 ,有一定意义 ,是对标量解的一个合理的补充。

In this paper the author suggests a Gaussion optical beam in a transverse polarized vector field,which,under certain conditions,can satisfy the Helmholtz Equation on time harmonic electromagnetic transmission and also the source free conditions in a free space vector field,and whose mode is ｜E｜,instead of any of its ectangular sub vector E i . Besides,the identical mathematical mode with asolution by Gaussion optical beam in a scalar field is also integrated, thus bearing the properties of a solution by a Gaussion scalar field. [WT5HZ]