Characterization of omnidirectional bandgaps in the multiple frequency ranges of one-dimensional photonic crystals based on gap map diagrams is proposed. In the gap map, there is one maximum range of the omnidirectional gap in each region, which is divided by the half-wave lines. The occurrence of the maximum range of the omnidirectional gap can be obtained by the characteristics of these gap map diagrams, including the zero-gap points, the occurrence of midgaps, and the frequency ranges of midgaps, for normal and grazing incidences with transverse-electric and transverse-magnetic polarizations. Moreover, concise empirical schemes are proposed to approximately determine the center and gap width of the maximum omnidirectional gaps in multiple frequency ranges.
© 2010 Optical Society of America
Original Manuscript: February 10, 2010
Manuscript Accepted: March 5, 2010
Published: April 28, 2010
W. J. Hsueh, S. J. Wun, and T. H. Yu, "Characterization of omnidirectional bandgaps in multiple frequency ranges of one-dimensional photonic crystals," J. Opt. Soc. Am. B 27, 1092-1098 (2010)