The research of apodization method of Fourier transform spectrometer

Peng Zhang; Zhi-hui Zhang; Shun-li Han

doi:10.1117/12.2031730

30 August 2013 The research of apodization method of Fourier transform spectrometer

Peng Zhang, Zhi-hui Zhang, Shun-li Han

Proceedings Volume 8910, International Symposium on Photoelectronic Detection and Imaging 2013: Imaging Spectrometer Technologies and Applications; 89100A (2013) https://doi.org/10.1117/12.2031730
Event: ISPDI 2013 - Fifth International Symposium on Photoelectronic Detection and Imaging, 2013, Beijing, China

Abstract

Apodization function is very important to the spectral accuracy in the phase error correction procession of Fourier transform spectrometer. So a novel apodization function and a high efficient phase error correction method are developed in this paper. The short double sided interferogram data and zero-crossing single sided interferogram data are gained by sampling and this data need zero-padding in order to have the same resolution. Then we reconstruct a complex number sequence, which the real part is the data of zero-crossing single sided interferogram and the imaginary part is the data of short double sided interferogram. The complex number sequence multiplied by the new apodization function and then the discrete Fourier transform is used to attain time domain data. We can obtain high precision spectrum based on the conjugate symmetry properties of discrete Fourier transform in the end. The results of experiments and theory analyzing demonstrate that proposed apodization function could suppress sidelobe and decrease the error due to the short double sided interferogram data have been used twice effectively, and the spectral inversion algorithm based on the new apodization function has not need interpolation computing, only has once fourier transform and once apodization, so the efficiency is improved greatly. Theory analysis and experiments shows the method is reasonable and efficient.

Citation Download Citation

Peng Zhang, Zhi-hui Zhang, and Shun-li Han "The research of apodization method of Fourier transform spectrometer", Proc. SPIE 8910, International Symposium on Photoelectronic Detection and Imaging 2013: Imaging Spectrometer Technologies and Applications, 89100A (30 August 2013); https://doi.org/10.1117/12.2031730

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KEYWORDS

Apodization

Fourier transforms

Spectroscopy

Error analysis

Analytical research

Distortion

Algorithms

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