用张量光学方法定义了三维不可分离变量的椭圆平顶高斯光束(EFGB),导出了这种光束经过非轴对称光学系统的传输公式及相应的张量ABCD定律,并对EFGB经过自由空间的传输作了数值计算。结果表明,EFGB的传输特性依赖于阶次,而且耦合EFGB的光强分布在传输过程中会发生旋转。

The elliptical flattened Gaussian beam (EFGB) is defined by using tensor method.The propagation formula and corresponding tensor ABCD law of EFGB passing through nonsymmetrical paraxial optical system is derived through vector　integration.By using this formula,the propagation characteristics of EFGB through free-space are calculated and discussed.The results show that the propagation property is very different from those of circular flattened Gaussian beam or elliptical Gaussian beam,and is dependent on the order N.In the near field,the intensity　distribution remains flat.With the increase of propagation distance,the flattened part degenerates.In the far field,EFGB tends to be elliptical Gaussian beam.Furthermore,beam spots of coupled EFGB rotate with propagation distance z.