藉由三面鏡系統在c-cut的Nd:YVO4雷射產生圓柱向量偏振，而輸出環形模態上各角度位置之偏振比皆須達10以上。在泵源調製下，訊號由倍週期路徑進入混沌，我們選取環形模態上不同位置比較，可以發現其非線性動態行為與空間分布位置相關。由於圓柱向量偏振可由兩正交線偏振的Laguerre-Gaussian模態，LG01與LG10疊加而成，利用此特性我們予以程式模擬解釋其非線性動態行為與空間的相關性。

We produce cylindrical vector laser beam in three mirror Nd:YVO4 system. On the output ring mode, the polarization ratio of every part must have the quality 10. When the modulation frequency of pumping laser is comparable with the relaxation oscillation frequency of output laser mode, period-doubling chaos occurs. We compared different parts on the ring mode, observing that the nonlinear dynamics is related with space distribution. Because cylindrical vector beam can be constituted by Laguerre-Gaussian modes, LG01 and LG10 having orthogonal linear polarization, we can explain the relation between nonlinear dynamics and space distribution.

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