Abstract
This paper presents a design of sharp transmission filters using band edge resonance effects in a hetero-structure composed of one-dimensional photonic crystals with different periods. Assuming that the photonic crystals are made of identical pairs of transparent materials, the band-edge resonance occurs when the periods are distributed in a geometrical progression with a common ratio, r=r c , where r c is a known function of refractive-index modulation, incident angle and the polarization of light. The band-edge resonance results in sharp resonant peaks in the transmission spectrum, with the full width at half maximum of the peaks increasing with an increase in the number of unit cells in each photonic crystal. Furthermore, if M photonic crystals are used to construct the hetero-structure, M−1 resonant peaks with the spacing between kth (1<k<M) and (k−1)th peaks equal to the band gap of the kth photonic crystal form in the transmission spectrum.
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Alagappan, G., Wu, P. Design of sharp transmission filters using band-edge resonances in one-dimensional photonic crystal hetero-structures. Appl. Phys. B 96, 709–713 (2009). https://doi.org/10.1007/s00340-009-3662-1
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DOI: https://doi.org/10.1007/s00340-009-3662-1