一种新的过零单边干涉图切趾加权函数

A Novel Apodization Function of Single Sided Interferogram

提出一种新的切趾函数,用此切趾函数对过零单边干涉图加权,使具有相同光程差的两点光强与旋转因子的乘积之和为它们的平均值,减小了由于计算过程中零光程差点附近的数据被利用两次造成的误差.研究结果表明:与Mertz提出的切趾函数相比,本文提出的切趾函数对非对称性较严重的过零单边干涉图数据处理有更好的加权效果,能够有效减小光谱失真,同时计算效率得到了一定程度的提高,可广泛应用到傅里叶变换光谱仪中的过零单边干涉图处理中.

A novel apodization function is proposed.The new apodization function multiplied by zero-crossing single sided interferogram can average the product of twiddle factor and intensity of two points having the same optical path difference,and reduce the error due to the data around zero optical path difference used twice.The simulation results show that the new apodization function fits better in some serious unsymmetrical interferograms than the Mertz apodization function and can minish the spectral distortion.Moreover,the computational complexity can be reduced significantly.The new apodization function can be widely applied to zero-crossing single sided interferogram data processing of fourier transform spectrometer.