用点扩展函数确定卫星反射后的脉冲强度

摘要

卫星激光测距系统是一个非相干成象光学系统。卫星形状效应是由于卫星上不同位置的反射器对光子反射的时间不同而引起的脉冲强度重新分布的现象。非相干成象系统在等晕区内是空间不变性的光强线性系统。成象光学系统中象强度等于输入物强度与光瞳点扩展函数的卷积。用卫星的点扩展函数描述卫星形状效应，能非常简便地计算出被卫星反射后的脉冲强度分布。讨论了激光测距卫星的点扩展函数的求解方法和表达形式，并分别推导和计算了Lageos卫星和自行设计卫星的点扩展函数以及点扩展函数作用后的脉冲强度分布。%Satellite laser ranging system is a incoherent imaging opticalsystem. Satellite form effect is a redistributing phenomenon of pulse intensity caused by different reflecting times of the reflector situated on different positions of satellite for photon. The incoherent imaging system in its isoplanatic region is a linear light intensity system with invariance in space. The image intensity in imaging optical system is equivalent to the convolution between the object intensity and the Point Spread Function (PSF) of the pupil. Description of satellite form effect with point spread function of satellite can calculate satellite reflected pulse intensity distribution in a simplified method. The solving methods and expression forms for point spread function of satellite laser ranging are discussed in the paper. The point spread functions of Lageos satellite and self-designed satellite as well as the intensity distribution of pulses acted by PSF are derived and calculated, respectively.