Abstract Intensity-modulated linear imaging spectropolarimetry can measure a two-dimensional distribution of spectrally-resolved linear Stokes parameters in a single-shot polarization modulation. However, the state-of-art reconstruction method, Fourier transform method (FTM), usually transforms the modulated spectrum into the frequency domain for further processing. As a result, there is channel crosstalk issue that limits available frequency bandwidth. Then recovered spectra have artificial signals and the corresponding spectral resolutions are lower than the native resolution of the used spectrometer. In addition, FTM needs extra phase calibration to decode final spectra. In this paper, we present a continuous slide iterative method (CSIM) in the spectral domain for reconstruction to avoid the use of the Fourier transform and phase calibration. CSIM combines a sliding unit cell kernel in the spectral domain that provides unit cell tracking and a loop of two-step least-squares fit that estimates spatially-resolved polarized spectra. Both the simulations and experiments show that CSIM is more accurate and robust to noise perturbation, and can maintain the intrinsic resolution of the used spectrometer.

中文翻译：

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没有傅立叶变换和相位校准的快照强度调制线性成像光谱偏振法的迭代重建

摘要 强度调制线性成像光谱偏振法可以测量单次偏振调制中光谱分辨线性斯托克斯参数的二维分布。然而，最先进的重建方法，傅立叶变换方法 (FTM)，通常将调制频谱转换到频域中以进行进一步处理。结果，存在限制可用频率带宽的信道串扰问题。然后恢复的光谱具有人工信号，相应的光谱分辨率低于所用光谱仪的原始分辨率。此外，FTM 需要额外的相位校准来解码最终光谱。在本文中，我们在谱域中提出了一种连续滑动迭代方法 (CSIM) 进行重建，以避免使用傅立叶变换和相位校准。CSIM 结合了光谱域中的滑动晶胞内核，提供晶胞跟踪和两步最小二乘拟合循环，用于估计空间分辨偏振光谱。仿真和实验都表明，CSIM 对噪声扰动更加准确和鲁棒，并且可以保持所用光谱仪的固有分辨率。