Highly Efficient and Accurate Calculation of Local Density of States in Two-Dimensional Photonic Crystals

We present an efficient method for calculating the orientation-dependent local density of states (ODLDOS) or local density of states (LDOS) in two-dimensional photonic crystals by combining the lattice point group transformation of the vector field and the special point integral with an interpolation method. This method can swiftly compute LDOS or ODLDOS and acquire the same results as those computed based on a larger number of $\mathbf{k}$ points in the first Brillouin zone. Our method improves the calculation speed by about 1000 times.