我們成功的以兩面雷射鏡組成一非共平面多次再入射環型共振腔雷射系統，比其他商業化的環型共振腔系統，它具有體積小及無像差的優點。本篇論文中我們不僅推導出其多次再入射之條件並分析了此非共平面共振腔之穩定性，論文中針對此共振腔輸出光的極化特性也做了一系列之探討與模擬。藉由倒置(reciprocal)及非倒置(non-reciprocal)極化元件使雙方向行進的光由於損耗不同而達到單方向傳播之目的，此種多次再入射環型共振腔已被應用於單縱模雷射及被動式Q開關雷射。
單縱模雷射具有頻率穩定及雜訊小等優點因而被廣泛應用於精密量測、檢測定位等方面，一般單縱模雷射的產生以環型共振腔的雷射架構所輸出的效率最高也最穩定，利用此共振腔再入射的特性可以做出振幅雜訊低於0.3%的單縱膜雷射輸出及其腔內倍頻。
被動式Q開關雷射的優點在其效率高，不占空間且不需要複雜的高壓電路，它可以應用在非線性光學、微機械加工、材料製程及精密測距等。但是被動式Q開關雷射的缺點是嚴重的時序擾動問題，進而影響雷射輸出之穩定性，而此時序擾動之原因主要在共振腔內的光子動態不穩定性及腔內自發性輻射的影響所致。在我們的立體環型系統架構中提供了一個有效降低時序擾動的方法，因此得到一脈衝寬度63 ns，峰值功率250 W的脈衝雷射輸出，由於成功的消除了自發性輻射對飽和吸收體的影響及空間燒孔效應，在不同的激發功率下，累積超過52,000次脈衝時序擾動都可以維持在3 %以下。

A novel non-planar and multi-reentrant two-spherical-mirror ring cavity is demonstrated. It is compact and free of astigmatism compare to the commercial ring cavity systems. The multi-reentrant condition of the ring cavity is derived and the stability of the laser cavity is analyzed. The study of polarization evolution in this kind of ring cavity is also presented. Unidirectional operation is achieved by use of reciprocal and nonreciprocal polarization rotators to differentiate the round-trip loss. The multi-reentrant ring cavity has been utilized in single frequency laser and passively Q-switched laser.
Single frequency laser possesses the advantages of high coherence and low noise, which can be used to the applications such as precision measurement. In the methods of single frequency generation, ring cavity configuration was shown to be the most robust one. Using this ring cavity, an IR and its intra-cavity frequency doubled green laser were demonstrated which the amplitude noise is lower than 0.3%.
Passively Q-switched laser is an efficient and compact way to generate high-peak-power laser pulses because high voltages and fast driving electronics are not required. Its high power is useful for diverse applications including nonlinear optical processes, micromachining, material processing and range finders. But the major drawback of a passively Q-switched laser is its inherent large timing jitter, which is mainly originated from the photo dynamics in the cavity, environmental instabilities and spontaneous noise from the gain medium. In our study, we demonstrated the operation of a low-jitter, passively Q-switched laser by using the reentrant two-mirror unidirectional ring cavity, which generates a pulse width of 63ns, peak power of 250 W laser output. Due to the elimination of spontaneous noise and spatial hole burning effects, the timing jitter can be maintained below 3% over a wide range of pump powers with integrations of over 52,000 pulses.

Acknowledgments …..…………………………………………….……i
中文摘要 …………...…………………………………………….…….ii
ABSTRACTS …..…………………………………………….…….….iii
List of Contents …..…………………………………………….……… v
List of Tables …..…………………………………………….………vii
List of Figures ……..………………………………………….………viii
Chapter 1 Introduction ….……………………………………………..1
Chapter 2 Solid-state laser systems …..……………………………...11
2.1 Diode pumped solid-state lasers ...…………………………..11
2.2 High power laser diodes ……………………………………..12
2.3 Gain medium ………...………………………………………27
Chapter 3 Laser coating ………………………………………………33
3.1 Dielectric thin films …...……………………………………. 33
3.1.1 Fundamentals …...……………………………………37
3.1.2 The quarter-wave rule …...…………………………. 41
3.1.3 Characteristics of coating designs …………………. 48
3.1.4 Optical coating calibration ...……………………….. 64
3.2 Dielectric coating on crystal fiber …...……………………. 73
Chapter 4 Multi-reentrant ring laser ……………………………… 80
4.1 Unidirectional techniques …...…………………………….. 82
4.2 Experimental setup for single frequency laser ………….. 84
4.3 Figure “8” ring laser properties …………...………………86
4.3.1 L-I curve characteristics ………...……………………86
4.3.2 The stability of the ring laser……...…………………87
4.3.3 The transverse and longitudinal mode characteristics93
4.3.4 Frequency doubling ………...…………………………96
4.4 Polarization characteristics ……………..………...……….. 99
4.4.1 Polarization measurement of the linear cavity ……. 100
4.4.2 Jone’s matrix analysis on the ring cavity ………….. 106
4.4.3 Comparison between simulation and experiment …111
4.5 Reentrant condition and stability analysis ……………… 116
4.5.1 Reentrant condition …...……………………………. 118
4.5.2 Stability criterion ……...……………………………. 122
4.5.3 Experimental verification ………………………….. 133
4.6 Q-switched ring laser ………...………………………….... 139
4.6.1 Timing jitter problem ..……………………………... 139
4.6.2 Passively Q-switched ring laser ……………………. 141
Chapter 5 Conclusions …...………………………………………… 152
Appendix ……………………………………………………………. 154
References …………………………………………………………….157
Biography …………………………………………………………… 167
Publication List ………………………………………………………168

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