非立即反應之自聚焦非相干性空腔中的調變不穩定現象

Modulation Instability in Non-instantaneous Self-focusing Incoherent Cavity

林盈秀(Ying-Hsiu Lin)

指導教授 ： 石明豐

國立臺灣大學/理學院/物理研究所/碩士(2005年)

https://doi.org/10.6342/NTU.2005.02444

摘要

無資料

關鍵字

非即時 ； 自聚焦 ； 調變不穩定現象

並列摘要

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.

並列關鍵字

non-instantaneous ； self-focusing ； modulation instability

參考文獻

[2] Solitons in Action, edited by K. Lonngren and A. Scott (Academic Press, New

York, 1978)

[4] B.A. Kalinikos, N.G. Kovshikov, and C.E. Patton, Phys. Rev. Lett. 80, 4301 (1998)

[7] M. Remoissent, Waves Called Solitons, (Springer-Verlag, Berlin, 1999)

[9] Ming-Feng Shih, “Photorefractive Screening Solitons, Their Induced Waveguides and Interactions”, (Ph.D. diss., Princeton University, 1998), Chapter 1.1