這篇論文包含三個部分:藉由不同同調程度的光來控制調變不穩定(MI)、藉由訊號光與背景光光強度比例來控制MI、藉由週期性調變外加偏壓控制MI能見度變化範圍。第一部分介紹外加偏壓與同調長度組成的相圖。可以觀察到MI1與MI2的兩種狀態與它們共存態、橫向不穩定、光汶流等狀態以外。兩不同週期與方向光調變不穩定條紋的共存行為可以藉由非等向性非線性係數來解釋。平面波與MI1、MI1與MI2轉換邊界可以被描繪在相圖上。第二個工作解釋MI在高光強的抑制行為: 折射率對光強度響應呈現飽和非線性。可以藉由不同訊號光與背景光比例來控制高對比度MI條紋落在訊號光的範圍。第三個工作施加不同頻率的調變偏壓來控制MI對比度震盪幅度。當非直覺MI對比度震盪頻率峰值被觀察到時，這方法有可能用來量測系統內部隨時間的微擾變化頻率。

This thesis covers three works: control Modulation instability (MI) by partial coherent light, control MI by background to signal beam intensity ratio, and control MI by periodically driving field. The first work introduces the phase diagram of biased voltage versus coherence length. MI1, MI1/MI2, MI2, Transverse Instability (TI), Optical turbulence (OT) states can be observed. MI1/MI2 mixed state can be explained by unisotropic nonlinear indexes and the transition boundaries of plain wave to MI1, MI1 to MI2 phases can be depicted on the phase diagram. The second work explains the MI suppression behavior in high intensity region which reveals saturable type refractive index to light intensity response. One can control the clear MI pattern range of signal light intensity via signal to background intensity ratio. The third work controls MI variation range using external periodic driving field with fast charge carriers dynamics assumed. MI with periodic driving could be a promising tool for measuring perturbation frequency when non-intuitive resonance peak is observed.

1 Introduction to Modulation Instability in Photorefractive Crystal............................... 1
1.1 Modulation Instability.............................1
1.2 Modulation Instability Analysis....................4
1.3 Transverse Instability Analysis....................6
1.4 Model for Photorefractive Medium: Band Transport Model..................................................10
1.5 Experimental Setup.................................14

2 Control Modulation Instability by Partial Coherent Light..................................................17
2.1 Introduction.......................................17
2.2 Perturbation theory for incoherent light...........18
2.3 Phase diagram for incoherent light.................21
2.4 Conclusion.........................................25

3 Control Modulation Instability by Background to Signal Beam Intensity Ratio...................................26
3.1 Introduction.......................................26
3.2 Model: Noninstantaneous Nonlinear Scrodinger Equation .......................................................27
3.3 Experimental Result................................33
3.4 Conclusion.........................................37

4 Control Modulation Instability by Periodically Driving Field..................................................38
4.1 Introduction.......................................38
4.2 Model for Square Wave Driving Field................39
4.3 Experiment.........................................45
4.4 Conclusion.........................................48
5 Summary and Outlook..................................49
5.1 Summary............................................49
5.2 Outlook............................................50

6 Appendix.............................................57

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