調變不穩定現象於共振腔中之非立即反應反自聚焦介質中之行為與其於慢速光現象之應用

Modulation Instability in Noninstantaneous Self-defocusing Medium with Feedback and Its Application in Achieving Slow Light

朱汶涵(Wen-Han Chu)

指導教授 ： 石明豐

國立臺灣大學/理學院/物理研究所/博士(2009年)

https://doi.org/10.6342/NTU.2009.01133

摘要

無資料

關鍵字

非線性光學 ； 共振腔 ； 調變不穩定現象 ； 反自聚焦

並列摘要

Modulation instability (MI) is one of the mechanisms which results in pattern formation in the nonlinear wave system. While an incident wave with small amplitude perturbation passes through the nonlinear materials, some spatiotemporal frequencies may have the higher growth rate and grows up to form patterns. For MI to happen, the Lighthill criterion saying that the nonlinearity of material works in the opposite direction to the dispersion during the wave propagation must be satisfied. In optics, therefore MI is believed traditionally to exist in the self-focusing medium.

In this dissertation, we study and present the characteristic behaviors of MI in the non-instantaneous self-defocusing medium. In Chapter One, we first overview the formation of MI and introduce some fundamental backgrounds, such as nonlinearity and non-instantaneity of the material response. Then in Chapter Two, we demonstrate theoretically and experimentally that MI can exist in the self-defocusing medium with the growth rate being the function of the spatial and the temporal frequency if the non-instantaneity is taken into consideration. Furthermore, we put such system into a ring cavity in Chapter Three. Interestingly, we find that spontaneous MI pattern can happen if the amount of feedback exceeds a certain threshold and the corresponding spatiotemporal frequency of the pattern satisfies the phase matching condition similar to that of a laser. Then in Chapter Four, we try to apply such MI in non-instantaneous media to achieve slow light, since MI contributes not only to the growth of amplitude but also to the phase of the wave. Finally, we do a conclusion in Chapter Five.

並列關鍵字

nonlinear optics ； cavity ； modulation insatbility ； self-defocusing

參考文獻

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