Resonating characterizations of photonic-crystal cavity with triangular-arrayed rods of both dielectric and magnetic permeability functions

The modified frequency-domain method is used to simulate the photonic properties of triangular-arrayed rods which are surrounded with air and possess non-unity dielectric ε_rod and magnetic permeability μ_rod functions. It was found that the photonic band gap becomes broader for the TE mode when materials with higher magnetic permeability and lower dielectric permeability are used for rods as compared to that of purely dielectric rods with the same refractive index of rods n_rod(= ε_rod¹2/μ_rod¹2/ ) whereas the gap is reduced for the TM mode. We then further examine the photonic characterizations of the photonic-crystal cavity, wherein a point defect is introduced into the triangular-arrayed rods. Under a fixed n_rod, the resonant frequency of the TE mode in the first band gap is lower and electromagnetic energy concentration at the point defect is higher when materials with higher magnetic permeability and lower dielectric permeability are adopted for rods. But opposing results are obtained for the TM mode. All the details will be discussed.