Research of Dual-Photoelastic-Modulator-Based Beat Frequency Modulation and Fourier-Bessel Transform Imaging Spectrometer
WANG Zhi-bin1，2, ZHANG Rui1，2*, WANG Yao-li1，2, HUANG Yan-fei1，2, CHEN You-hua1，2, WANG Li-fu1，2, YANG Qiang1，2
1. Key Laboratory of Instrumentation Science and Dynamic Measurement，North University of China，Taiyuan 030051，China 2. Engineering Technology Research Center of Shanxi Province for Opto-Electronic Information and Instrument，North University of China，Taiyuan 030051，China
Abstract：As the existing photoelastic-modulator(PEM) modulating frequency in the tens of kHz to hundreds of kHz between, leading to frequency of modulated interference signal is higher, so ordinary array detector cannot effectively caprure interference signal. A new beat frequency modulation method based on dual-photoelastic-modulator (Dual-PEM) and Fourier-Bessel transform is proposed as an key component of dual-photoelastic-modulator-based imaging spectrometer (Dual-PEM-IS) combined with charge coupled device (CCD). The dual-PEM are operated as an electro-optic circular retardance modulator, Operating the PEMs at slightly different resonant frequencies ω1 and ω2 respectively, generates a differential signal at a much lower heterodyne frequency that modulates the incident light. This method not only retains the advantages of the existing PEM, but also the frequency of modulated photocurrent decreased by 2~3 orders of magnitude (10~500 Hz) and can be detected by common array detector, and the incident light spectra can be obtained by Fourier-Bessel transform of low frequency component in the modulated signal. The method makes the PEM has the dual capability of imaging and spectral measurement. The basic principle is introduced, the basic equations is derived, and the feasibility is verified through the corresponding numerical simulation and experiment. This method has potential applications in imaging spectrometer technology，and analysis of the effect of deviation of the optical path difference. This work provides the necessary theoretical basis for remote sensing of new Dual-PEM-IS and for engineering implementation of spectra inversion.
Key words：Dual-photoelastic-modulator;Imaging spectrometer;Fourier-Bessel transform;Beat frequency
王志斌1，2，张 瑞1，2*，王耀利1，2，黄艳飞1，2，陈友华1，2，王立福1，2，杨 强1，2 . 双弹光拍频调制型Fourier-Bessel变换成像光谱技术研究 [J]. 光谱学与光谱分析, 2014, 34(02): 569-573.
WANG Zhi-bin1，2, ZHANG Rui1，2*, WANG Yao-li1，2, HUANG Yan-fei1，2, CHEN You-hua1，2, WANG Li-fu1，2, YANG Qiang1，2. Research of Dual-Photoelastic-Modulator-Based Beat Frequency Modulation and Fourier-Bessel Transform Imaging Spectrometer. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2014, 34(02): 569-573.
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