Classification of deformed photonic Dirac cones

Abstract

We investigate the classification of photonic band structures in relation to the perturbed effective Hamiltonian for the point eigenmodes and their eigenfrequencies. As an example, by top-down engineering the relative spectral distribution of monopole and dipole modes, we classify the modification of the Dirac dispersion. The behavior of wave phenomena inside the designed structure, such as anisotropic Dirac dispersion, will also be discussed.