研究目的
To design the shape of unit cells, having low and wide band gaps, in two-dimension square lattice photonic crystals.
研究成果
The study successfully designed a novel structure by destroying the symmetry of the circle medium column and the unit cell to acquire low frequency and wide band gaps. The new unit cells with a 0.3*a vertical axis radius and a 15o horizontal rotating angle has both wide TE mode gaps and TM mode gaps. This provides favorable theoretical basis for designing photonic communication material.
研究不足
The study is limited to two-dimension square lattice photonic crystals and does not explore more complex lattice structures or the reverse problem.
1：Experimental Design and Method Selection:
The study uses the finite element method to solve the band-gap problem of two-dimension square lattice photonic crystals numerically. The numerical experiment was initialized by testing the structure with circle inner medium column, and then studied on changing the radius in vertical axis and rotating the medium column to acquire qualitative guiding theories in the design of unit cells with low frequency and wide gaps.
2：Sample Selection and Data Sources:
The study uses two-dimension square lattice photonic crystals with different geometrical shapes of the unit cells' inner medium column.
3：List of Experimental Equipment and Materials:
MATLAB 2012a and COMSOL
4：5 software were used for numerical experiments. Experimental Procedures and Operational Workflow:
The TE mode and TM mode 2D eigenfrequency analysis modules in COMSOL
5：5 were used to build unit cells, and then the models were imported into MATLAB 2012a to plot the band gaps figures. Data Analysis Methods:
The study analyzed the effects of changing the vertical axis radius and rotating the horizontal axis on the TE mode and TM mode band gaps.
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