用改进的Chebyshev函数提高干涉图切趾效果

Improved Chebyshev Function to Raise the Effect of Interferogram Apodization

针对Chebyshev切趾函数在低旁瓣衰减时功率泄漏率高以及旁瓣衰减的等波动性问题,提出了一种改进的Chebyshev切趾函数。首先通过仿真分析指出Chebyshev切趾函数在光谱复原中存在的缺陷;然后选取Blackman-Harris函数对其进行改进,并与改进前进行了对比分析;最后,用该函数对单色光干涉图进行切趾处理并仿真验证,仿真结果表明,改进后Chebyshev切趾函数能够较好地克服功率泄露率高及旁瓣衰减等波动性的问题,其应用能力也更加灵活。

In order to rectify the shortcomings of high power leakage rate at low side-lobe attenuation and identical fluctuation of side-lobe attenuation of Chebyshev apodization function, an improved Cheby- shev apodization function is put forward. Firstly, the defects of Chebyshev apodization function in spec- trum restoration is analyzed by simulation; and then, the Blackman-Harris function is selected to improve it and compared with the previous one; at last, the function is used for monochromatic interferogram apo- dization process and simulation. The simulation results show that the new Chebyshev apodization function can solve the problems of high power leakage rate at low side-lobe attenuation and identical fluctuation of side-lobe attenuation, and its application ability is more flexible.