We propose three dimensionless approximate expressions to predict the thickness filling factor, gap center, and gap width of the maximum omnidirectional gap (MODG) for various refractive indices in one-dimensional photonic crystals. These expressions are simple and do not include trigonometric or inverse trigonometric functions. It is easy to obtain the MODG from given refractive indices but also to estimate the refractive indices from the MODG based on the results.
© 2011 Optical Society of America
Original Manuscript: February 14, 2011
Revised Manuscript: March 27, 2011
Manuscript Accepted: March 28, 2011
Published: April 22, 2011
W. J. Hsueh and S. J. Wun, "Simple expressions for the maximum omnidirectional bandgap of bilayer photonic crystals," Opt. Lett. 36, 1581-1583 (2011)