摘要
针对目前激光远场能量密度估计模型比较简单,不具有评估任意环围面积远场能量密度功能的问题,从激光的大气传输原理出发,建立了更加精确的多重积分模型。首先,基于功率谱反演法构建了瞬时远场功率密度分布函数;其次,结合高斯过程构建了瞬时远场光斑位置轨迹模型;再次,将瞬时远场光斑沿着轨迹模型进行线积分,构建了远场能量密度模型,并提出了简化模型以及求解方法;最后,进行了仿真计算。结果表明:当该简化模型与传统简化模型的环围面积相等时,远场能量密度保持一致;该模型可以求解任意面积的平均能量密度,计算耗时仅为0.2s,具备实用价值。
At present,the laser far-field energy density estimation model is relatively simple and is u-nable to evaluate the far-field energy density of an arbitrary annular area.A more accurate and reliable mathematical multi-integration model was established based on the atmospheric transmission principle of laser.Firstly,the instantaneous far-field power density distribution function was constructed based on the power spectrum inversion method.Secondly,the instantaneous far-field spot position trajecto-ry model was constructed by combining the Gaussian process.Thirdly,the instantaneous far-field spot was line-integrated along the trajectory model,the far-field energy density model was construc-ted,and model simplification and solution method were proposed.Finally,simulation calculation was conducted.Simulation results show that the far-field energy density remains the same when the annu-lar area of the new simplified model is equal to the traditional simplified one.In addition,the new model is of more practical value because it can solve the average energy density of any area while the computation consumes only 0.2 s.
作者
石教炜
孙世岩
石章松
SHI Jiaowei;SUN Shiyan;SHI Zhangsong(Naval Univ.of Engineering,Wuhan 430033,China)
出处
《海军工程大学学报》
北大核心
2025年第4期86-90,105,共6页
Journal of Naval University of Engineering
基金
国家部委基金资助项目(2019-JCJQ-JJ-049)。
关键词
远场能量密度
随机误差
高斯过程
多重积分
far-field energy density
stochastic error
Gaussian process
multiple integration
