# 具有介质柱缺陷的二维正方晶格光子晶体的带隙The Band Gaps of Two-Dimensional Tetragonal Lattice Photonic Crystals with Dielectric Column Defects

1. 引言

2. 折射率沿介质柱半径方向阶梯增加的二维光子晶体结构

Figure 1. Photonic crystal structure of square lattice of cylindrical medium with increasing refractive index step by step with radius

3. 折射率沿介质柱半径分3层增加的光子晶体设置的光子晶体的带隙

Figure 2. Light wave transmission of photonic crystals with dielectric column radius r = 0.6 μm, lattice constant a = 1.8 μm and refractive index n = 1.5 and n = 2.5, n = 4.0 respectively

Figure 3. Light wave transmission of photonic crystals with dielectric column radius r = 0.6 μm, lattice constant a = 1.8 μm and refractive index n = 1.0 and n = 2.5, n = 4.0 respectively, with an air column defect in the middle

Figure 4. The structure of photonic crystals with two separated air defect columns with dielectric column radius r = 0.6 μm, lattice constant a = 1.8 μm, refractive index n = 1.0, n = 2.5, and n = 4.0 along the dielectric column radius

Figure 5. The dielectric column radius r = 0.6 μm, the lattice constant a = 1.8 μm, the refractive index along the dielectric column radius is n = 1.0, n = 2.5, n = 4.0, respectively. The photonic wave transmission pattern of two separated air defect columns is set

Figure 6. The structure diagram of the photonic crystals with dielectric column radius r = 0.6 μm, the lattice constant a = 1.8 μm, the refractive index along the dielectric column radius n = 1.0, n = 2.5, n = 4.0, and three connected air defect columns are set

Figure 7. Transmission diagram of photonic crystals with three connected air defect columns with dielectric column radius r = 0.6 μm, lattice constant a = 1.8 μm, refractive index n = 1.0, n = 2.5, and n = 4.0, respectively

Table 1. Comparison of photonic crystal structure and light transmittance with radius r = 0.60 μm and lattice constant a = 1.80 μm

4. 折射率沿介质柱半径分4层阶梯增加的光子晶体的带隙

Figure 8. Light wave transmission diagram of a photonic crystal with Radius of dielectric column r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along dielectric column radius is n = 1.0, n = 2.0, n = 3.0, n = 4.0, respectively

Figure 9. Photonic crystal structure with radius of dielectric column r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along dielectric column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, respectively. an air defect column is set up

Figure 10. The light transmission diagram of photonic crystal with an air defect column is set, and radius of dielectric column r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along dielectric column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, respectively

Figure 11. Photonic crystal structure of two air defect columns with dielectric column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index n = 1.0, n = 2.0, n = 3.0, n = 4.0, respectively

Figure 12. Photonic crystal transmittance diagram of two air defect columns with dielectric column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index n = 1.0, n = 2.0, n = 3.0, n = 4.0, respectively

Figure 13. Photonic crystal structure diagram of dielectric column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along dielectric column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, setting 1 defect column n = 4.0

Figure 14. Light wave transmission diagram of photonic crystal with dielectric column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along dielectric column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, set 1 defect column n = 4.0

Figure 15. Photonic crystal structure of dielectric column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along the dielectric column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, and set two n = 4.0 interval defect columns

Figure 16. Light wave transmission diagram of a photonic crystal of radius of dielectric column r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along dielectric column radius n =1.0, n = 2.0, n = 3.0, n = 4.0, set 2 columns with n = 4.0 interval defect

Table 2. Comparison of photonic crystal structure and light transmittance with radius r = 0.80 μm and lattice constant a = 2.4 μm

5. 折射率沿介质柱半径分4层阶梯增加的光子晶体和设置缺陷柱的光子晶体的带隙

Figure 17. Photonic crystal structure of medium column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index along medium column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, setting 5 air defect columns n = 1.0

Figure 18. Light wave transmission diagram of photonic crystals with medium column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index n = 1.0, n = 2.0, n = 3.0, n = 4.0 along medium column radius respectively, and 5 air defect columns with n = 1.0

Figure 19. The structure diagram of photonic crystals with dielectric column radius r = 0.8 μm, the lattice constant a = 2.4 μm, the refractive index along the dielectric column radius n = 1.0, n = 2.0, n = 3.0, n = 4.0, and setting five defect columns n = 4.0

Figure 20. Light wave transmission of photonic crystals with medium column radius r = 0.8 μm, lattice constant a = 2.4 μm, refractive index n = 1.0, n = 2.0, n = 3.0, n = 4.0 along medium column radius, respectively. Five defect columns with n = 4.0 are set

Table 3. Comparison of photonic crystal structure and light transmittance with radius r = 0.80 μm and lattice constant a = 2.4 μm

6. 结论

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