Lee Lu, Chen He, Chen Siying, Zhang Yinchao
Key Laboratory of Photoelectronic Imaging Technology and System (Beijing Institute of Technology), Ministry of Education of China, Beijing, China.
Appl Opt. 2012 Jul 10;51(20):4622-6. doi: 10.1364/AO.51.004622.
Apodization is a mathematical tool used in Fourier transform spectrometry to reduce the spurious oscillation in the output spectrum. We investigate Norton-Beer apodizing functions and take advantage of the main series to introduce a family of new functions. They weigh the interferogram to zero continuously within the same optical path difference and, accordingly, improve the convergence property of the instrumental line shape (ILS) for the apodized spectrum. In the meantime, the range of spectral smearing is well reduced. Compared with the Norton-Beer functions, the new functions are more flexible in practice and are more applicable with regard to distinguishing the spectral lines, especially the weak lines, which are not too close to the center of a strong line but are still susceptible to the ringing of ILS.
变迹是傅里叶变换光谱学中用于减少输出光谱中虚假振荡的一种数学工具。我们研究了诺顿 - 比尔变迹函数，并利用其主级数引入了一族新函数。它们在相同光程差内将干涉图权重连续归零，从而改善了变迹光谱的仪器线型（ILS）的收敛特性。同时，光谱展宽范围也得到了很好的减小。与诺顿 - 比尔函数相比，新函数在实际应用中更灵活，在区分光谱线，特别是那些不太靠近强线中心但仍易受ILS振铃影响的弱线方面更适用。
