https://scholars.lib.ntu.edu.tw/handle/123456789/32552
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor | 石明豐 | en |
dc.contributor | 臺灣大學:物理研究所 | zh_TW |
dc.contributor.author | 林盈秀 | zh |
dc.contributor.author | Lin, Ying-Hsiu | en |
dc.creator | 林盈秀 | zh |
dc.creator | Lin, Ying-Hsiu | en |
dc.date | 2005 | en |
dc.date.accessioned | 2007-11-26T09:29:42Z | - |
dc.date.accessioned | 2018-06-28T09:43:23Z | - |
dc.date.available | 2007-11-26T09:29:42Z | - |
dc.date.available | 2018-06-28T09:43:23Z | - |
dc.date.issued | 2005 | - |
dc.identifier | en-US | en |
dc.identifier.uri | http://ntur.lib.ntu.edu.tw//handle/246246/54605 | - |
dc.description.abstract | Abstract This dissertation is mainly to present some interesting properties of the Modulation Instability(MI) in the non-instantaneous self-focusing incoherent cavity. Modulation instability, happening in many nonlinear wave systems, is a phenomenon that a small amplitude modulation of a carrier wave exponentially grows due to the nonlinear response of the medium. To form MI, the Lighthill criterion should be satisfied, that is, the non-linearity and the dispersion (diffraction) must work oppositely. Through theoretical analysis and computer simulation, we studied the evolution of MI patterns in a nonlinear cavity which is longer than the coherence length of the light circulating in it. The patterns exhibit spectral line narrowing as the feedback is increased, resembling the line narrowing in lasers. In chapter 1, we provide an introduction to the modulation instability and some important properties – non-linearity and non-instantaneity – which play important roles in our analysis and simulation. The theoretical analysis of the pattern formation in the optical cavity is discussed in chapter 2, and the intuition behind that is presented. Chapter 3 is devoted to the simulation methods and some results of our system. Finally, we give a summary and the future work in chapter 4. | en |
dc.description.tableofcontents | Contents Chapter 1 Introduction……………………………………………….1 1.1 Optical Modulation Instability……………………………………………..1 1.2 Optical Kerr Effect…………………………………………………………3 1.3 Photorefractive Materials………….……………………………………….6 Chapter 2 Theoretical Analysis……………………………………..10 2.1 MI in Non-instantaneous Self-focusing Medium……………………........10 2.2 MI in Instantaneous Self-focusing Incoherent Cavity…………………….13 Chapter 3 Computer Simulation……………………………………18 3.1 Split-Step Fourier Method………………...…………………….…………18 3.2 Simulation Process…………….………………………………….…….....21 3.3 Simulation Results of MI in Non-instantaneous Self-focusing Incoherent Cavity…...………………………………………………………………….28 Chapter 4 Summary and Future Works……………..……………..35 4.1 Summary…………………………………………………………………..35 4.2 Future Works……………………………………………………………...36 References…………………………… ………………………………...37 Appendix……………………………………………………………….38 | en |
dc.format.extent | 1429228 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language | en-US | en |
dc.language.iso | en_US | - |
dc.subject | 非即時 | en |
dc.subject | 自聚焦 | en |
dc.subject | 調變不穩定現象 | en |
dc.subject | non-instantaneous | en |
dc.subject | self-focusing | en |
dc.subject | modulation instability | en |
dc.title | 非立即反應之自聚焦非相干性空腔中的調變不穩定現象 | zh |
dc.title | Modulation Instability in Non-instantaneous Self-focusing Incoherent Cavity | en |
dc.type | thesis | en |
dc.identifier.uri.fulltext | http://ntur.lib.ntu.edu.tw/bitstream/246246/54605/1/ntu-94-R92222015-1.pdf | - |
dc.relation.reference | References [1] See, e.g., E. Infeld and G. Rowlands, Nonlinear waves, Solitons and Chaos (Cambridge University Press, Cambridge, United Kingdom, 2000) [2] Solitons in Action, edited by K. Lonngren and A. Scott (Academic Press, New York, 1978) [3] B.A. Kalinikos, N.G. Kovshikov, and A. Slavin, Sov. Phy. JEPT 67, 303 (1998) [4] B.A. Kalinikos, N.G. Kovshikov, and C.E. Patton, Phys. Rev. Lett. 80, 4301 (1998) [5] G. P. Agrawal, Nonlinear Fiber Optics, (Academic Press, San Diego, 1995) [6] M. J. Lighthill, J. Inst. Math. Appl. 1, 269 (1965) [7] M. Remoissent, Waves Called Solitons, (Springer-Verlag, Berlin, 1999) [8] Bahaa E. A. Saleh and Malvin Carl Teich, Foundamentals of Photonics, (New York: John Wiley & Sons, 1991), Sec. 18.1 [9] Ming-Feng Shih, “Photorefractive Screening Solitons, Their Induced Waveguides and Interactions”, (Ph.D. diss., Princeton University, 1998), Chapter 1.1 [10] A. Yariv, Optical Electronics, Saunders College Publishing, Philadelphia, 1991 [11] Ming-Feng Shih, “Photorefractive Screening Solitons, Their Induced Waveguides and Interactions”, (Ph.D. diss., Princeton University, 1998), Chapter 1.3 [12] Bahaa E. A. Saleh and Malvin Carl Teich, Foundamentals of Photonics, (New York: John Wiley & Sons, 1991), Sec. 18.4 [13] M.F. Shih and F.W. Sheu, Phys. Rev. Lett. 86, 2281 (2001) [14] M. Segev et al., Phys. Rev. Lett. 73, 3211 (1994) [15] M. Soljacic et al., Phys. Rev. Lett. 84, 467 (2000); D. Kip et al., Science 290, 495 (2000); C. Anastasia et al., Phys. Rev. Lett. 85, 4888 (2000) [16] M.F. Shih, C.C. Jeng, F.W. Sheu, and C.Y. Lin, Phys. Rev. Lett. 88, 133902 (2002) [17] A. Yariv, Quantum Electronics (Wiley, New York, 1998) [18] T. Carmon, M. Soljacic, and M. Segev, Phys. Rev. Lett. 89, 183902 (2002) | en |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.openairetype | thesis | - |
item.languageiso639-1 | en_US | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.fulltext | with fulltext | - |
顯示於: | 物理學系 |
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ntu-94-R92222015-1.pdf | 23.53 kB | Adobe PDF | 檢視/開啟 |
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