研究目的
To investigate the effects on the photonic band structure of a regular 2D photonic crystal and with an H1 defect, due to the increase of both the applied hydrostatic pressure and the triangle's internal angles and orientation in the unit cell.
研究成果
The photonic band gap width increases with increases in the internal angle and rotation angle of the triangles, but remains constant with increases in hydrostatic pressure, which causes a shift to higher frequencies. For defective crystals, the number of defect modes increases with rotation angle, and defect modes shift to higher frequencies with pressure. These results could inform the development of tunable photonic devices.
研究不足
The study assumes that the applied hydrostatic pressure does not modify the structure of the 2D photonic crystal. It is limited to TE polarization and specific geometric parameters (e.g., fixed area of triangles, hexagonal lattice). The computational methods may have convergence issues, and the findings are based on numerical simulations without experimental validation.
1：Experimental Design and Method Selection:
The study uses the plane wave expansion (PWE) method and supercell technique to calculate photonic band structures for transverse electric (TE) polarization in a 2D hexagonal lattice photonic crystal with triangular air holes in a GaAs background. Theoretical models based on Maxwell's equations and Fourier transforms are employed.
2：Sample Selection and Data Sources:
The photonic crystal is composed of air holes with isosceles triangular cross-sections embedded in GaAs. The dielectric constant of GaAs depends on hydrostatic pressure and temperature, with specific values used (e.g., 12.66 at 0 kbar, 12.01 at 30 kbar, 11.21 at 70 kbar).
3：66 at 0 kbar, 01 at 30 kbar, 21 at 70 kbar).
List of Experimental Equipment and Materials:
3. List of Experimental Equipment and Materials: No specific experimental equipment or materials are mentioned; the study is computational, using numerical methods and software tools for diagonalization and calculations.
4：Experimental Procedures and Operational Workflow:
Numerical calculations involve diagonalizing eigenvalue equations for TE polarization using 500 plane waves for regular crystals and 2000 plane waves for defective crystals with a supercell size of L=5a. Parameters varied include hydrostatic pressure (0, 30, 70 kbar), internal angle φ (e.g., 45°, 54°, 63°), and rotation angle θ (e.g., 0°, 30°, 90°).
5：5a. Parameters varied include hydrostatic pressure (0, 30, 70 kbar), internal angle φ (e.g., 45°, 54°, 63°), and rotation angle θ (e.g., 0°, 30°, 90°).
Data Analysis Methods:
5. Data Analysis Methods: Data analysis includes plotting photonic band structures and identifying photonic band gaps and defect modes. Results are discussed in terms of shifts in frequency and changes in band gap width.
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