Extreme narrow photonic passbands generated from defective two-segment-connected triangular waveguide networks

In this paper, we investigate the optical transmission properties of perfect and defective two-segment-connected triangular waveguide networks (2SCTWNs) and find that after introducing defects in networks, many groups of transparent extreme narrow photonic passbands (ENPPs) will be created in the middle of the transmission spectra, the number for each group and the group number of ENPPs can be adjusted by the matching ratios of waveguide length (MRWLs), the number of defects, and the number of unit cells of 2SCTWNs. The influences of MRWL, number of defects, and number of unit cells on the number, width, and position of these ENPPs are researched and a series of quantitative rules and properties are obtained. It may be useful for the designing of high-sensitive optical switches, wavelength division multiplexers, extreme-narrowband filters, and other correlative waveguide network devices. (electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics)