在本論文中，主要探討了在具泵源條制的Nd:YVO4雷射系統中的非線性動力學及極端事件。我們在固定的共振腔體長度下，透過不同的調制頻率，將雷射輸出的光學渦流加以調制，並且透過調制後訊號的處理，整理出由週期進入混沌之路徑分岔圖、極端事件比例、kurtosis值等。我們透過這些實驗數據，觀察到了調制頻率遠離雷射的鬆弛震盪頻率時，具有更高的極端事件比例，且進入混沌的路徑也有所不同，並以此了解系統的非線性動力行為對調制訊號的影響。此外，我們也討論了不同空間上渦流光束的調制訊號，得知了在此系統裡的光學渦流存在不只一種模態，而我們對於泵源的調制作用於此兩個模態的調制能力也有所不同，造成了在不同的空間位置下非線性動態行為也有所不同。

In this thesis, nonlinear dynamics and extreme events were explored in a Nd:YVO4 laser with pump modulation. At the fixed resonant cavity length, we adjusted modulation frequency to obtain the modulation signal in different conditions. Next, we sorted out the bifurcation, extreme event ratio, kurtosis value, etc. Through these experimental data, we observed that when the modulation frequency is far from the relaxation oscillation frequency, there is a higher ratio of extreme events, and the path towards chaos is also different. Also, by analyzed the modulation signals between different parts of vortex, we observed that there is more than one mode in this system, and nonlinear dynamic acting on these modes are also different.

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