Two-dimensional and 3D- multi-component photonic crystals: theory and experiment

摘要

We report on an analytical study of the photonic band structure of 2D and 3D multi-component photonic crystals. It is found that both types of crystal demonstrate a quasiperiodic resonant behavior of (hkl) photonic stop-bands as a function of the reciprocal lattice vector, providing a selective ON/OFF switching of nonresonant (hkl) stop-bands. Our predictions are compared with the results of conventional numerical studies using the photonic Korringa-Kohn-Rostocker method. Experimental transmission spectra of α-SiO_2 synthetic opals show the OFF-switching of the {111} stop-bands at the filler permittivity of ～1.82, the {200} bands at ～1.63, the {220} bands at ～1.93, and the {311} bands at ～1.75. The (222) photonic stop-band, which is due to the second order diffraction from the (111) planes, cannot be switched OFF in a wide range of filler permittivity values, thus indicating a resonant behavior. The experimental data demonstrate an excellent agreement with the theoretical predictions.