本篇論文研究主要著重於探討雙折射晶體Cr:YVO4之光學特性。在第一章我們將會概述Cr:YVO4 線性與非線性(飽和吸收特性)的光學性質，因其具有雙折射特性我們在第二章設計一套量測系統藉以求得樣品的相位延遲(phase retardation)(P.30)；在第三章我們利用了 Z-scan 的技術進行樣品飽和吸收面積(saturable absorbption cross section)的量測，並將所得的結果在第四章整理歸納。
此外，在本文的附錄亦進行了利用光柵分析綠光雜訊的實驗，藉由光柵的解析我們可觀察到不同模態在空間中分佈的情形。

In this paper we are interested in Optical Properties of Birefringence Crystal Cr:YVO4. In chapter 1 we will describe the linear and nonlinear (saturable absorption) optical characteristics. Because the samples are with birefringence, we design a measuring system to measure the phase retardation of our samples. The detail of the phase retardation measurement will be discussed in chapter 2. In chapter 3 we will use Z-scan technique to find out the absorption cross sections, finally we make a conclusion of the result in chapter 4.

Using grating to analyze the multi-modes (green noise) in the laser cavity (CW laser) is presented in the appendix. We can observe the mode separations by using grating to spectrally resolve the incident laser beam.

[1.1] P. Hong, X. X. Zhang, R. E. Peale, H. Weidner, M. Bass, and B. H.T. Chai, “Spectroscopic characteristics of Nd -doped strontium fluorovanadateand their relationship to laser performance,” J. Appl. Phys.,vol. 77, pp. 94–299, 1995

[1.2] J. J. Zayhowski and C. Dill, “Diode-pumped passively Q-switched picosecond microchip lasers,” Opt. Lett., vol. 19, pp. 1427–1429, 1994.

[1.3] T. Kellner, F. Heine, G. Guber, and S. Kück, “Passive Q switching of a diode-pumped 946 nm Nd :YAG laser with 1.6 W average output power,” Appl. Opt., vol. 37, pp. 7076–7079, 1998.

[1.4] Y. Shimony, Z. Burshtein, A. Ben-Amar Baranga, Y. Kalisky, and M. Strauss, “Repetitive Q-switching of a CW Nd :YAG laser using Cr :YAG saturable absorbers,” IEEE J. Quantum Electron., vol. 32, pp. 305–310, 1996.

[1.5] A. E. Siegman, Laser. Mill Valley, CA: Univ. Science, 1986, p. 1012, 1024.

[1.6] S. Kuck, K. Petermann, and G. Huber, “Spectroscopic investigation ofthe Cr4+center in YAG,” in OSA Proc. Advanced Solid State Lasers,1991, vol. 10, pp. 92–94.

[1.7] H. Eilers, K. R. Hoffman,W. M. Denis, S. M. Jacobson, and W. M. Yen,“Saturation of 1.064 _m absorption in Cr, Ca:Y3Al5O12 crystals,” Appl. Phys. Lett., Vol. 61, pp. 2598–2960, 1992.

[1.8] A. V. Shestakov, N. I. Borodin, V. A. Zhitnyuk, A. G. Ohrimtchyuk,and V. P. Gaponstev, “Tunable Cr:YAG lasers,” in CLEO’91 Tech. Dig.,CPDP 11-1.

[1.9] Y. Shimony, Z. Burstein, and Y. Kalisky, “Cr:YAG as passive Q-switch and Brewster plate in a pulsed Nd:YAG laser,” IEEE J. Quantum Electron., vol. 31, pp. 1738–1741, 1995.

[1.10] Z. Burshtein, P. Blau, Y. Kalisky, Y. Shimony, and M. R. Kokta,“Excited-state absorption studies of Cr4+ ions in several garnet host crystals,” IEEE J. Quantum, Electron., vol. 34, pp. 292–299, Feb. 1998.

[1.11] J.M.Harris and N.J.Dovichi, ’’Thermal Lens alorimetry’’,ANALYTICAL CHEMISTRY, 52, pp.695A (1980).

[2.1] FUNDAMENTAL OF PHOTONICS, B.E.A Saleh & M.c. Teich, Wiley Series in Pure and Applied Optics J.W. Goodman, Editor.

[2.2] Pablo Velasqueza) Marı´a del Mar Sa´nchez-Lo´pez, Ignacio Moreno, Daniel Puerto, and Felipe Mateos, ‘Interference birefringent filters fabricated with low cost commercial Polymers,’ Am. J. Phys. 73 ~4!, April 2005

[3.1] J.M.Harris and N.J.Dovichi, ’’Thermal Lens alo rimetry’’,ANALYTICAL CHEMISTRY, 52, pp.695A (1980).

[3.2] Guohua Xiao, Student Member, IEEE, Jin Hong Lim, Sidney Yang, Eric Van Stryland,Michael Bass, Fellow, IEEE, and Lou Weichman, ‘Z-Scan Measurement of the Ground andExcited State Absorption Cross Sectionsof Cr4+ in Yttrium Aluminum Garnet,’ IEEE JOURNAL OF QUANTUM ELECTRONICS, VOL. 35, NO. 7, JULY 1999

[3.3] H. Eliers, U. Homerich, S. M. Jacobsen, and W. M. Yen, Spectrosco- picproperties of Cr4+:Lu3Al5O12,” Opt. Lett., vol. 18, pp.1928–1930,1993.

[3.4] A. G. Okhrimchuk and A. V. Shestakov, “Performance of YAG:Cr4+ laser crystal,” Opt. Mat., vol. 3, pp. 1–13, 1994.

[3.5] Kuck, K. Petermann, U. Pohlmann, and G. Huber, “Near infrared emission of Cr4+ doped garnets: Lifetimes, quantum efficiencies, and emission cross sections,” Phys. Rev. B, vol. 51, pp. 17323–17331, 1995.

[3.6] G. Xiao and M. Bass, “Additional experimental confirmation of the prediction of a model to optimize passively Q-switched lasers,” IEEEJ. Quantum Electronics, vol. 34, pp. 1142–1143, July 1998.

[3.7] G. Xiao and M. Bass, “A generalized model of passively Q-switched lasers including excited state absorption in the saturable absorber,” IEEE J. Quantum Electron., vol. 33, pp. 41–44, Jan. 1997

[3.8] M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron., vol. 26, pp. 760–769, Apr. 1990.

[3.9] T. H. Wei, D. J. Hagan, M. J. Sence, E. W. Van Stryland, J. W. Perry, and D. R. Coulter, “Direct Measurements of nonlinear absorption and reflection in solutions of Phthalocyanines,” Appl. Phys. B, vol. 54, pp. 46–51, 1992.

[3.10] T. J. Xia, D. J. Hagan, A. Dogariu, A. A. Said, and E. W. Van Stryland, “Optimization of optical limiting devices on excited-state absorption,” Appl. Opt., vol. 36, no. 18, pp. 4110–4122, 1997

[4.1] T. Baer ,”Large-amplitude fluctuation due to longitudinal mode coupling in diode-pumped intracavity-doubled Nd:YAG lasers”, J. Opt. Soc. Am. B3,1175~1180(1986).

[4.2] M. Oka and S. Kubota ,”Stable intracavity doubling of orthogonal linearly polarized modes in diode-pumped Nd:YAG lasers”, Opt. Lett. 13 ,805~807 (1988)

[4.3] G.E. James, E.M. Harrell II,”Intermittency and chaos in intracavity doubled lasers” , R. Roy, Phys. Rev. A41,2778~2790 (1990)

[4.4] OPTICS, Fourth Editor, Eugene Hecht, Addison Wesley