Vectorial Numerical Analyses and Applications of Soliton Fission Process in Highly Nonlinear Fibers
Date Issued
2006
Date
2006
Author(s)
Tsai, Meng-Han
DOI
en-US
Abstract
This thesis investigates the phenomena of short-pulse propagation in highly nonlinear fibers. In nonlinear fiber optics, such kinds of phenomena have been studied extensively. With the development of short-pulsed laser and highly nonlinear photonic crystal fibers (PCF), more and more applications utilizing these kinds of light sources such as optical communication, frequency metrology, and biomedical images have been proposed. In time domain, the pulse evolution results may be dispersive waves or Raman solitons depending on their dispersion regime (normal dispersion or anomalous dispersion). In frequency domain, they may be supercontinuum (SC) or soliton self-frequency shift (SSFS).
Since continuously, numerical model such as nonlinear Schrödinger equation (NLSE) of scalar form has been developed to describe these phenomena. However, due to some reasons, we suspected that it would be more appropriate to use the NLSE of vector form in describing such phenomena. We introduce some NLSE in different forms and finally derive the generalized NLSE of vector form. Base on the vector NLSEs and symmetrized SSFM, we developed a simulation program to describe the short pulse evolution inside highly nonlinear fibers.
Using this program, we simulate two different cases of soliton fission processes, which are SC and SSFS in frequency domain, respectively. We then analyze the SOP of each soliton and their trend of changes. We also find that the polarization sensitivities are quite different for these two cases. Some possible reasons for such difference are proposed.
Since the simulation results can fit the experimental data, we try to use the program to analyze the PCF-based light sources. Such light sources are usually used on the applications of biomedical images. Thus the wavelength tuning capability is required. We propose two methods to tune the wavelengths and compare their advantages and disadvantages. Finally, we try to generate a light source with a pre-specified wavelength. We also show possible ways to improve the performance of such light sources.
Subjects
光孤子
向量型光孤子
非線性
非線性光學
數值分析
soliton
soliton fission
numerical analysis
nonlinear fiber optics
Type
thesis
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