a new design of photonic crystal filter and power splitter based on ring resonators

here, we propose an optical filter and an optical power splitter based on two-dimensionalphotonic crystal all circular ring resonators. these structures are made of a square lattice ofsilicon rods with the refractive index n1=3.464 surrounded by air (with refractive indexn2=1). first, we have designed the filter and by using that, we designed a power splitter. thetransmission efficiency and quality factor for both, an optical filter and an optical powersplitter, respectively, are more than 90% and 1000. resonant modes of the all-circular ringresonator with their corresponding degenerated poles and the transmission spectra arecalculated using the pwe, and 2d-fdtd methods respectively.