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Dispersion Characteristics and Regulation Mechanism Study of Two-dimension Photonic Crystal

Author: DongHuiMin
Tutor: FanDianYuan
School: Hunan University
Course: Information and Communication Engineering
Keywords: Photonic crystals Group velocity dispersion Metallic photonic crystals Pulse transmission FDTD method
CLC: O734
Type: Master's thesis
Year: 2010
Downloads: 92
Quote: 0
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Abstract


There are two types of photonic crystal dispersion phenomena, one is spatial dispersion, associated with a single-frequency electromagnetic waves that can produce negative refraction, super prism autocollimation other spatial dispersion effects; another time domain dispersion, with many frequency electromagnetic waves related, also known as pulse dispersion. Pulse dispersion photonic crystal reaches the maximum, the value equivalent to the ordinary single-mode fiber pulse dispersion in two orders of magnitude. Coupled photonic crystal devices such as small size and light weight advantages, making pulse dispersion photonic crystal research in recent years become a hot spot. In this thesis, photonic crystal dispersion characteristics for the study, the main research dimensional photonic crystal dispersion characteristics and regulatory mechanisms, the main research contents and results are as follows: First, elaborated in photonic crystals and metal dispersion photonic crystal research status and characteristics , detailed description of the photonic crystal to handle numerical methods, including the calculation of the band structure of the plane wave expansion method to analyze the dispersion characteristics of photonic crystal parabolic approximation method and the least square fitting method to simulate conventional dispersive media when the media and FDTD method. Secondly, the theoretical and numerical simulation of two-dimensional photonic crystal dispersion parameters. Established a theoretical model, elaboration and analysis of the formation mechanism of photonic crystal dispersion and variety. The use of high precision spline least square fitting analysis of photonic crystal band structure of photonic crystals obtained dispersion parameters. Introduction of frequency weighting factor, the use of finite difference time domain analysis of various factors on pulse propagation. Finally, the study of two-dimensional photonic crystal dispersion control mechanism. Through the conventional photonic crystal dielectric cylinder radius and analyzed to find the radius when the photonic crystal is gradually increased and the dielectric constant, the energy band structure corresponding to curve down, resulting in the center frequency of the pulse may be on to a higher The can take; the contrary, when the cylindrical radius, and the dielectric constant decreases when the center frequency of the pulse, there may fall within the forbidden band, resulting pulses are not transmitted in the photonic crystal. In addition, through embedding of different radii embedded copper (Cu) metal photonic crystals for analysis, found that when the embedded radius increases, the pulse width increases to a certain extent, and get a better suppression order dispersion; And when the radius further increased to a certain size, but somewhat compressed pulse width, order dispersion increasing trend also appeared; if it continues to increase embedding radius because the metal strong dispersion effect, but this time the pulse splitting.

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CLC: > Mathematical sciences and chemical > Crystallography > Crystal physics > The optical properties of the crystal
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