Band gap calculations of photonic crystals by singular boundary method

摘要

This paper applies the singular boundary method (SBM) to compute band gap structures of two-dimensional (2D) photonic crystals. By using the fundamental solutions, a linear eigenvalue equation is established to describe the relationship between the Block wave and frequency. For given frequencies, the solution of the equation yields the related Block wave vectors. The convergence, accuracy and efficiency are carefully examined through several benchmark cases.