红外十字叉探测器的数学建模

Mathematic Simulation of Infrared Cross-detector

简要介绍了敏感红外辐射的十字叉探测器的物理结构和工作原理以及其吸收红外能量并转化为电信号形式的功能,在此基础之上,提出了一定的假设,利用付里叶级数理论,通过分析这种探测器吸收红外辐射能量及能量吸收率,给出了一种级数形式的数学模型,并利用MATLAB进行了仿真验证。对用到它的系统进行目标探测、信号分析、信号处理和系统仿真奠定了数学基础。

The structure and principle of the sensitive infrared cross-detector, as well as its function of transforming the absorbed infrared energy to electronic form, are concisely introduced. By analyzing its absorbed infrared energy and energy rate with Fourier series and some supposes, one of its series mathematic models is dealt with in this paper and validated to be right by applying the MATLAB program. It is the mathematic basement for detecting target and analyzing signal and simulating the system with it.