Research Article

Photonic Eigenmodes in a Photonic Crystal Membrane

Figure 2

Comparison of results for finite and infinite 2D structures. Symmetry is shown in Figure 1. Elementary cell parameters: 𝑑 1 𝑥 = 𝑑 1 𝑦 = 4 μm, 𝑑 2 𝑥 = 𝑑 2 𝑦 = 1 μm. (a) Plane wave calculation for infinite Si/SiO2 photonic crystal. Γ 𝑀 , diagonal 𝜃 1 = 4 5 ° direction, Γ 𝑀 1 , 𝜃 1 = 3 3 . 6 9 ° direction. Six lowest resonator modes are shown by corresponding colour points, beginning with Ω m i n 0 . 0 1 9 7  eV (arrows). Three lowest gaps are shown along 𝑀 1 vertical line. (b) Modes of the 8 × 8 Si/SiO2 2D rectangular lattice resonator. Angular mode diagram. Calculated by the SWE method 0-approach modes allocated in the polar diagram. Shown are 901 lowest energy existing branches in 14 colour gradation inside the total internal reflection area, energy interval (0, 0.15) eV, angular interval 1 7 . 1 < 𝜃 1 < 7 2 . 9 , lattice period 5.0 μm. The corresponding lowest modes along Γ 𝑀 direction are marked by arrows.
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373968.fig.002b
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