Dimerlike positional correlation and resonant transmission of electromagnetic waves in aperiodic dielectric multilayers

Abstract

In this paper, we investigate transmission of electromagnetic wave through aperiodic dielectric multilayers. A generic feature shown is that the mirror symmetry in the system can induce the resonant transmission, which originates from the positional correlations ͑for example, presence of dimers͒ in the system. Furthermore, the resonant transmission can be manipulated at a specific wavelength by tuning aperiodic structures with internal symmetry. The theoretical results are experimentally proved in the optical observation of aperiodic SiO 2 /TiO 2 multilayers with internal symmetry. We expect that this feature may have potential applications in optoelectric devices such as the wavelength division multiplexing system.

Light wave states in two-dimensional quasiperiodic media

“…6 Interest in localized photonic states arises following the discovery of photonic band-gap materials. 5 It has been shown that local resonant cavities 7 as well as localized states inside the photonic gaps 8 are found in 1D aperiodic sequences. In fact, both of these modes are related to artificially introduced segment defects in the sequence structures.…”

Bragg-like interference in one-dimensional double-period quasicrystals

“…Since one-dimensional structures have attracted special attention because of their fundamental physics and their ease of fabrication for any wavelength scale, studies of onedimensional traditional photonic crystals, disordered structures, and quasicrystals, such as Fibonacci, double-period, and Thue-Morse superlattices, have been undertaken [18][19][20][21][22]. Recently, two quasi-Bragg conditions (QBCs) with significant reflectances due to interference, which are analogous to one traditional Bragg condition for periodic cases [23,24], that occur in a Fibonacci superlattice have been proposed [19].…”

High-Q filters with complete transmission by quasi-periodic dielectric multilayers

“…There have been several studies of the properties of onedimensional quasi-crystals, such as Fibonacci dielectric multilayers, symmetric Fibonacci dielectric multilayers, Thue-Morse dielectric multilayers (TMMLs), and others [10][11][12]. However, most studies of resonances in quasicrystals only focus on transmission lower than 1.…”

“…In this Letter, θ 0, for simplicity. The transmission spectra are calculated using the transfer matrix method, T 4∕∥M∥ 2), where ∥M∥ denotes the sum of the squares of the four elements of the global transfer matrix and the transmittance is given by T jtj 2 [10]. When T 1, the power of the incident electromagnetic wave is completely transmitted from one end of the bonding medium to the other, so complete transmission occurs.…”