We calculated the phase index np, group index ng, and chromatic dispersion D from photonic band structures in two-dimensional (2D) photonic crystals consisting of triangular-arrayed cylindrical rods. We found that both the np and ng increase rapidly as the frequency of a propagating electromagnetic wave approaches the gap-band edges due to Bragg reflection, thus causing D to be large. The chromatic dispersion D is evaluated to be four to five orders of magnitude greater than the conventional single-mode fiber dispersion and should be useful as dispersion compensation for fiber-optic communications. In addition, the np, ng, and D of the 2D photonic crystals for E- and H-polarized waves are also examined.
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Yang et al. (2005) studied this question.
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