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
Original Manuscript: September 28, 2010
Revised Manuscript: February 24, 2011
Manuscript Accepted: March 2, 2011
Published: April 20, 2011
Yuanjiang Xiang, Xiaoyu Dai, Shuangchun Wen, Zhixiang Tang, and Dianyuan Fan, "Zero-effective-phase bandgaps in photonic multilayers: analytic expressions for band-edge frequencies and broadband omnidirectional reflection," J. Opt. Soc. Am. B 28, 1187-1193 (2011)