Analysis of the shape rod dependence in finite-size two-dimensional photonic crystals

The investigation of the propagation characteristics of photonic bandgap structure is provided. Method of boundary integral equations combined with method of analytical regularization and conformal mapping technique is used to study structures with triangular lattice of dielectric rods of arbitrary polygonal cross-section. In particular, it is examined how the changing of the rods shape affects the transmission characteristics. Results indicate a strong dependence of propagation characteristics on the rod shape with increasing the normalized frequency parameter and decreasing the number of angles in cross-section contour of rods.