机载激光测深后向散射光雷达方程

根据《海水中光束传播唯象模型》和水下辐射度反射率定律，将海水中任一深度的激光束，分为准直光部分和非准直光（散射）部分，并分别计算机载光学接收系统接收到的准直部分和非准直部分的后向散射功率，建立了机载激光测深系统后向散射光雷达方程。通过对该雷达方程的分析，得到了当海水深度以衰减长度的个数表示时，机载激光测深系统接收到的海水后向散射光功率最大值点对应的水深与海水的单粒子反照率有关，而与海水的衰减系数无关的结论，以此可测定海水散射系数、吸收系数。文中也分析了系统视场角对后向散射包络的影响，阐述了后向散射包络以有效衰减系数指数衰减，而不是以光束衰减系数指数衰减。

Airborne Laser Bathymetry Backscattering Lidar Equation

On the basis of the phenomenological model of beam spreading in ocean water and the reflecting law of underwater irradiance, dividing the underwater laser beam into collimated beam and scattering light in ocean water, the airborne laser bathymetry backscattering lidar equation is obtained. The equation shows that the backscattering envelope received by airborne detecting system increases to a maxmam point, then decreases exponentially. It is also proved that the backscattering envelope is attenuated by effective attenuatuion coefficient rather than beam attenuation coefficient. The sea depth where the backscattering envelope is the maximam is related with the albedo of the sea water rather than related with the attenuation coefficient of the sea water, if the sea depth is described by the numbers of attenuation length. A simple and accurate new method to remote the sea water absoption and scatting coefficients is obtained by the conclusion.