一种改进的高斯波束解  

An Improved Solution of Gaussian Beam

作　　者：李应乐[1] 唐高峰[1] 王明军[1] 

机构地区：[1]咸阳师范学院电波传播与散射研究所,陕西咸阳712000

出　　处：《海南大学学报（自然科学版）》2009年第4期346-349,共4页Natural Science Journal of Hainan University

基　　金：国家自然科学基金资助课题(60971079;60801047);陕西省自然科学基金资助课题(2009JM8020);陕西省教育厅自然科学基金资助课题(09JK800)

摘　　要：得出了高斯波束场的改进型表达式及其平面波谱展开,发现波束的等效传播常数ke不等于波动方程中的传播常数k,但随着传播距离的增加,等效传播常数迅速地接近于k,从工程应用的角度给出了等效传播常数的取值范围,表明文献结果是本文结果的一个特例;仿真发现高斯波束在近区传播时,其强度剧烈地随空间变化,传播波数对能量有显著的影响.An improved expression of Gaussian beam and its plane wave spectrum expansion were presented respectively. It was discovered that the equivalent propagating constant ke for the beam is unequal to the constant k in the wave equation, but with the increase of propagating distance, this equivalent constant ke quickly close to k. The range of size of ke was determined from the point of view of application, which showed that the e in the literatures is a special case of the solution derived in this article. Simulations results showed that xpression the beam intensity varies exquisitely with space position in the near area, and the beam energy is affected distinctly by the propagating constant.

关 键 词：高斯波束 激光 平面波谱 

分 类 号：O441[理学—电磁学]