研究目的
Investigating the efficient and quantitative analysis of photon density of states for two-dimensional photonic crystals with omnidirectional light propagation, including both radiative and evanescent waves.
研究成果
The study demonstrates that the complete band gaps shown by previous work considering only the radiative modes will be closed by including the contributions of the evanescent modes. This finding is significant for understanding spontaneous emission or dipole radiation in 2D periodic structures and provides an efficient approach to identifying the existence of a complete photonic band gap in a 2D PC.
研究不足
The study is limited to 2D photonic crystals with translational symmetry in the longitudinal direction. The method does not account for 3D photonic crystals or those without translational symmetry.
1：Experimental Design and Method Selection:
The study extends the formerly developed 2D finite element analysis (FEA) of in-plane light propagation to include omnidirectional light propagation by adopting a wave-guiding theory under the consideration of translational symmetry.
2：Sample Selection and Data Sources:
The study considers 2D photonic crystals with complex geometry configurations, specifically a triangular lattice and a square lattice of air cylinders etched into silicon.
3：List of Experimental Equipment and Materials:
The materials include silicon with air cylinders, and the method involves adaptive FEA in real space.
4：Experimental Procedures and Operational Workflow:
The omnidirectional PDOS is calculated based on the in-plane dispersion relations within the irreducible Brillouin zone for both TE and TM modes.
5：Data Analysis Methods:
The contributions to the total PDOS from both the radiative and evanescent waves are calculated separately, and the results are compared with those obtained by the plane wave expansion method (PWEM).
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