Abstract

The analytic expressions for frequency locations of the zero-effective-phase photonic band edge of the photonic multilayers containing single-negative materials are derived based on the effective medium theory. By adopting the derived band-edge formula, the properties, especially the thickness- and angular-dependence of the zero-effective-phase photonic bandgap are investigated in detail. The obtained results are consistent with the predictions in the transfer-matrix method. Moreover, the potential application of the band-edge formula in extending zero-effective-phase photonic bandgaps is proposed, which is verified in the photonic heterostructure realized by using composite right-/left-handed transmission line.

© 2011 Optical Society of America

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