The existence of quasi-Bragg conditions (QBCs) in Thue–Morse dielectric multilayers (TMDMs), based on high reflectance and large forbidden gap regions in its transmission spectra, is presented. In contrast to a single traditional Bragg condition (TBC) in periodic bilayers, there are three QBCs in TMDMs. The formula for each of these QBCs is derived. The results show that one of these QBCs just overlaps the TBC. However, a singular point with perfect transmission exists in this QBC at the quarter-wave stack, at which high reflection exists in the periodic bilayers.
© 2013 Optical Society of America
Original Manuscript: August 28, 2013
Revised Manuscript: October 1, 2013
Manuscript Accepted: October 1, 2013
Published: November 5, 2013
C. W. Tsao, W. J. Hsueh, C. H. Chang, and Y. H. Cheng, "Quasi-Bragg conditions in Thue–Morse dielectric multilayers," Opt. Lett. 38, 4562-4565 (2013)