One-dimensional photonic crystal bandpass filters

One-dimensional photonic crystals (PC) are periodic multilayer structures consisting of dielectric layers with different refractive indices and thicknesses comparable with electromagnetic wavelengths in a certain frequency range. The synthesized filter contains three half wave-length resonators and four mirrors with quarter wave-length layers. The interior mirrors consist of three layers each, and the exterior ones, of one layer. Thus, the filter comprises 11 layers. In addition, it was demonstrated that, at the pass band frequencies, the half wavelength resonator layers accumulate the energies exceeding by far those of the quarter wavelength mirror layers. Therefore, the Q factor of the mirror material affects the loss in the filter passband much more weakly than the Q factor of the resonator material.