Abstract
In this work, we designed a narrow-band filter based on a one-dimensional photonic crystal heterostructure featuring an angle-adjustable single-channel. The design presented here is based on a quarter-wave reflector with a mirror defect layer in the middle of the structure. By combining two defective one-dimensional photonic crystals (PCs), we obtained a heterostructure in which the two sub-PCs had the wavelengths of their defect modes, that is, the same at one incident angle and different at all other incident angles. This structure possessed the single-channel resonant peak in the transmission spectrum under either a normal or an oblique incident angle, and the angle-adjustability was related to the two modifying parameters. The filter based on this heterostructure possessed not only a narrow passband but also a sharp angular pass breadth. These properties have potential applications in angular tunable, single-channel narrow-band filters.
Highlights
Because of their properties of photonic bandgap (PBG) and localization,1 photonic crystals (PCs) have attracted a great deal of interest as the new type of optical materials used for developing novel mirrors,2–4 waveguides,5 cavities,6 filters,7–9 and sensors.10 Recently, much attention has been paid to the properties of localized modes at defects of PCs
In the case of conventional PCs made of dielectric materials with a positive refractive-index, as the incident wave changes from normal to oblique incidence, the PBG and defect modes of the PCs all shift to a shorter wavelength
The defect modes have been used for filters only under the limit of the normal incidence being at a particular wavelength; otherwise, transmission peaks appear at the other wavelengths under oblique incidence
Summary
Because of their properties of photonic bandgap (PBG) and localization, photonic crystals (PCs) have attracted a great deal of interest as the new type of optical materials used for developing novel mirrors, waveguides, cavities, filters, and sensors. Recently, much attention has been paid to the properties of localized modes at defects of PCs. In the case of conventional PCs made of dielectric materials with a positive refractive-index, as the incident wave changes from normal to oblique incidence, the PBG and defect modes of the PCs all shift to a shorter wavelength.. In the case of conventional PCs made of dielectric materials with a positive refractive-index, as the incident wave changes from normal to oblique incidence, the PBG and defect modes of the PCs all shift to a shorter wavelength.15 For this reason, the defect modes have been used for filters only under the limit of the normal incidence being at a particular wavelength; otherwise, transmission peaks appear at the other wavelengths under oblique incidence..
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