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运用平面波展开法,模拟计算了四种散射体横截面形状分别为圆柱形、沙漏形、元宝形和鸭式的二维光子晶体结构的带隙,并且四种散射体形状的对称性依次降低。结果表明,散射体形状为鸭式的二维光子晶体相比散射体为圆柱形、沙漏形、元宝形的光子晶体更容易产生较宽的完全带隙。并且还进一步研究了介电常数和散射体的大小半圆半径对鸭式二维光子晶体的完全带隙的影响,结果表明,当介电常数为26.6,大半圆半径为0.331μm,小半圆半径为大半圆半径的0.535倍时,完全带隙达到了最大值,该最大值为0.058(wa/2πc)。
By using the plane wave expansion method, the bandgaps of the four kinds of scatterers with cylindrical, hourglass, ingot and duckhape 2D photonic crystal structures are simulated and the symmetry of the four scatterers is successively reduced. The results show that the two-dimensional photonic crystal with a scatterer shape of canon is more likely to have a wider complete bandgap than the hourglass shape and the ingot-shaped photonic crystal. The influence of dielectric constant and the size of the semicircle of the scatterer on the complete bandgap of a two-dimensional (2D) photonic crystal is also studied. The results show that when the permittivity is 26.6, the radius of the large semicircle is 0.331μm and the radius of the semicircle is Full-circle radius of 0.535 times, the full bandgap reached a maximum, the maximum value of 0.058 (wa / 2πc).