本研究提出了利用傅立葉轉換光譜儀量測光譜/單色史托克參數的三種方法。在第一種方法中，所設置的裝置中包括白光光源，偏振片設置0 °，四分之一波片和麥克森干涉儀，在所提中的方法中，參數的提取是利用四分之一波片旋轉四種角度分別以0°，22.5°，45°和-45°所產生的干涉圖分佈強度。第二種方法中應用到二維史托克檢測，透過像素化相位延遲片和偏振元件陣列上的高速CCD攝像機和一個並行讀出電路用多通道模擬到數字由從光子晶體中提取的轉換器。因此無任何轉動元件的全場和動態光譜式史托克儀可以被發展出來。最後在第三種方法中，白色光源被替換為單色光源，拿掉干涉儀，一個簡單的斯托克儀在本研究中引入，所提出方法的有效性，展示了數值模擬和實驗。據作者所知，這很有可能是在提取光譜史托克參數中最簡單的光學結構，更重要的是，後兩種方法避免元件在光學系統內旋轉，因此可提供更直接的方法量取光譜式史托克參數。
此外，本研究也提出麥克森干涉儀中補償因分光鏡而產生的相位畸變，利用Q、H、Q的補償原理進行相位上的補償，補償前可先用基因演算法確認此模型是否為可補償之模型，此方法可大大減少因分光鏡產生相位畸變上的誤差。

Three methods are proposed for measuring the spectroscopic/monochromatic Stokes parameters using a Fourier transform spectrometer. In the first method, the parameters are extracted using an optical setup comprising a white light source, a polarizer set to 0°, a quarter-wave plate and a scanning Michelson interferometer. In the proposed approach, the parameters are extracted from the intensity distributions of the interferograms produced with the quarter-wave plate rotated to 0°, 22.5°, 45° and -45°, respectively. In the second approach, the interferograms of two-dimensional detection also can be simultaneously extracted via a pixilated phase-retarder and polarizer array made from photonic crystal on a high-speed CCD camera and a parallel read out circuit with a multi-channel analog to digital converter. Thus, a full-field and dynamic spectroscopic Stokes polarimetry without any rotating components could be developed. Finally, in the third method, the white light source is replaced by a monochromatic light source, the interferometer is removed, and a simple Stokes polarimetry is introduced in this study. The validity of the proposed methods is demonstrated both numerically and experimentally. To the authors’ knowledge, this could be the simplest optical arrangement in extracting the spectral Stokes parameters. Importantly, the latter two methods avoid the need for rotating components within the optical system and therefore provide an experimentally straightforward means of extracting the spectral Stokes parameters.
In addition, the study is also proposed the compensation of phase distortion of beam splitter in Michelson interferometer. The method using Q, H, Q structure on the principle of compensation is proposed. Before phase errors is compensated you can confirm whether this model can be compensated using genetic algorithms, this method can greatly reduce the phase distortion errors of beam splitter.

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