本論文專注在利用純相位型空間光調制器產生具有軌道角動量光束之研究。純相位型空間光調制器相比於振幅型空間光調制器的應用更加廣泛，在過去的研究中常使用純相位型空間光調制器對雷射光波前和光斑分布的整形。不同於以往，此論文將此純相位型空間光調制器的面板區分成左右兩螢幕，利用左半和右半螢幕的兩個自由度，可以各自調制入射雷射光之垂直和水平方向偏振，再配合外加波板元件，本實驗能產生許多具有軌道角動量之光束。本論文的實驗主要分成兩個部分。
第一部分為產生具有軌道角動量之向量光束。首先利用空間光調制器的左半和右半螢幕各自產生正交偏振的Laguerre-Gaussian (LG) 模態，再將這兩個LG模態做同軸疊加，我們可以產生出偏振態和軌道角動量可獨立調控的向量光束。為了進一步分析此向量光束的特性，本實驗先後使用Stokes polarimetry和Shack-Hartmann波前分析儀來分析光束的偏振態分布和軌道角動量，測量結果皆和理論模擬結果相當符合。
第二部分實驗為將空間光調制器改成傳統類似液晶q-plate元件的光束整形器。此似q-plate的光束整形系統相比於傳統的q-plate，最大好處是不需要製程，因此可快速切換各種複雜的q 值分布，在未來光整形應用上更具潛力。為了進一步分析光束整形的效果，本實驗額外將數位全像術和此似q-plate光束整形器之系統合併，利用數位全像重建技巧，實驗上能夠分析各調制光束的光強度、相位、自旋和軌道角動量的空間分布，此部分的重建結果皆和理論模擬結果高度符合。
本論文所採用的光束整型方式，具有高度潛力應用於各領域，如光鉗系統，光通訊和光學感測等。

This dissertation mainly studies the method of beam shaping based on the scheme of double reflections from a phase-only spatial light modulator (SLM), in which the panel of the SLM is divided into two equal areas, and each of them is responsible for modulating the phase of x- and y-polarized components of incident light, respectively. This double modulation system allows us modulate not only the polarization distribution but the orbital angular momentum (OAM) distribution. This dissertation has two parts, which are summarized as follows.
In the first experiment, OAM-carrying vectorial vortex beams are constructed by superimposing two orthogonally polarized OAM eigenstates. To analyze the optical properties of modulated beams, two measurement procedures are applied in turn. First, we use Stokes polarimetry to study the polarization patterns of generated beams. Second, we use a Shack–Hartmann wavefront sensor to measure the OAM charge. Theoretical and experimental results pertaining to polarizations and OAM charges are in good agreement.
In the second experiment, we extend the function of the double modulation scheme to imitate typical q-plates. This programmable q-plate-like system allows us to have the real-time configuration of an arbitrary q-plate without the need for fabrication. Therefore, various high-order cylindrical vector beams can be rapidly generated when the incident beam is a linearly polarized, and OAM-carrying light can be generated when the incident beam is circularly polarized. The method proposed in the dissertation has high potential in optical tweezers, optical communication, and remote sensing.

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