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Research on the Effect Factor of Two-dimensional Photonic Crystal Band Gap

Author: SunJiaZhao
Tutor: XingHuaiZhong
School: Donghua University
Course: Plasma Physics
Keywords: Photonic crystal Photonic band gap Plane wave expansion method Defect
CLC: O734
Type: Master's thesis
Year: 2010
Downloads: 187
Quote: 1
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Abstract


One of the most fundamental characteristics of photonic crystal optical band gap, photonic band gap, the frequency falls will prohibit the dissemination of. Introduction of some kind of defect in the photonic crystal, there could be its photonic band gap defect states. Most photonic crystal is a man-made micro-structure, and its preparation method precision machining technology, colloidal self-organization Act, the law of inverse opal structure, layer by layer superposition approach. The main applications of the photonic crystal in the mirror of microwave antennas, photonic crystals, photonic crystal filter, photonic crystal waveguides, photonic crystal fiber. According to the spatial structure of photonic crystals can be divided into one-dimensional, two-dimensional and three-dimensional photonic crystal. Plane wave expansion method in photonic crystal research methods, finite difference time domain method, transfer matrix method. This paper plane wave expansion method, some of the main factors in the two-dimensional photonic crystal photonic bandgap. First, the study of the spatial structure of the photonic crystal, the shape, the dielectric constant of the media, filling than the band gap of the two-dimensional photonic crystal. Photonic crystal square the TE wave than TM wave photonic band gap is more prone to triangular photonic crystal square photonic crystal photonic band gap, honeycomb photonic crystal is the most prone to prone photonic band gap and produce a complete band . Medium, the shape of the forbidden band width, the number of the band gap of the center position has a certain impact. Under certain conditions, the width of the forbidden band is increased with the increase in the dielectric, the center position of the forbidden band is moved to the low frequency direction with the increase in the dielectric. TE wave ban width with increased with increasing filling ratio decreases, the the bandgap center position as the filling ratio increases to low-frequency mobile. Secondly, the study the cylindrical point defects on two-dimensional photonic crystal band gap. Found that the band gap of the two-dimensional photonic crystal, the center position, the number of band gap would be subject to the influence of point defects, but the impact is small. Two-dimensional photonic crystal band gap after the introduction of point defects appeared defect mode and defect mode of the center column of the dielectric constant increases gradually move toward lower frequency as the defective media, With defective media column, radius increases gradually moves to the low frequency direction gradually increase in the column position coordinate with the defective media is moved to the high-frequency direction. Finally, the line defect two-dimensional photonic crystal band gap. The results show that the radius of the defect layer cylindrical photonic crystal defect layer thickness with photonic crystal forbidden significant effect. TE wave band gap first increases and then decreases with the increase in the radius of the defect layer, the center position of the band gap decreases with increasing defect layer cylindrical radius, the number of band gap with increasing defect layer cylindrical radius rather significant change. In addition, the width of the forbidden band as the defective layer thickness with normal thickness difference increases and decreases.

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