Bandgap structure of optical Fibonacci lattices after light diffraction

Kaliteevski, M. A.; Nikolaev, V. V.; Abram, R. A.; Brand, S.

doi:10.1134/1.1388332

Cited by 40 publications

(28 citation statements)

References 11 publications

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“…In one dimension, the states in quasiperiodic multilayers and the evolution of spectrum with sample size have been extensively studied. [1][2][3][4] Many interesting phenomena such as critical states and singular continuous spectrum have been discovered. 1,2 In two dimensions, recently, it has been shown that large full band gaps can be opened in photonic quasicrystals with small dielectric contrast due to the high rotational symmetry of a quasiperiodic structure.…”

Section: Introductionmentioning

confidence: 99%

Anomalous properties of the band-edge states in large two-dimensional photonic quasicrystals

et al. 2007

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By using the sparse-matrix canonical-grid method, we performed large-scale multiple-scattering calculations to study band-edge states in large-sized two-dimensional photonic quasicrystals. We find that the band-edge states evolve in an abrupt and irregular way when the sample size is increased. New states with reduced symmetries can emerge at the band edge in large samples. Strong multifractal behaviors in the wave functions are also observed. Our findings unveil important differences between quasiperiodic and periodic systems at band edges.

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Section: Introductionmentioning

confidence: 99%

Anomalous properties of the band-edge states in large two-dimensional photonic quasicrystals

et al. 2007

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“…[1][2][3] In addition to the electronic and optical properties, the vibrational (acoustical) properties in these systems have been studied both experimentally 4 and theoretically. [5][6][7] Amongst the quasiperiodic systems, the Fibonacci 1 sequences have gained considerable attention both from theoretical and experimental points of view.…”

Section: Introductionmentioning

confidence: 99%

“…Although limited efforts have been made in the study of the lattice vibrational properties of periodic semiconductor superlattices both theoretically [6][7] and experimentally, [3][4][5] no effort has so far been made towards the investigation of the vibrational properties of quasiperiodic systems with latticemismatched components having various generating sequences known as "generation".…”

Section: Introductionmentioning

confidence: 99%

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Dispersion of Acoustic Phonons in Quasiperiodic Superlattices

2004

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The aim of this work is to present an up-to-date study of acoustic phonon excitations that can propagate in multilayered structure with constituents arranged in quasiperiodic fashion. In this paper, the dispersion relation of acoustic phonons for the quasiperiodic superlattice using different semiconducting materials, with the help of transfer matrix method, is derived at normal angle of incidence. Calculation is presented for (a) Ge/Si and (b) Nb/Cu semiconductor superlattices from 5th to 9th generations and dispersion diagrams are plotted using the famous Kronning-Penny model obtained from the transfer matrix of the structure. The concept of allowed and forbidden bands with the help of these dispersion curves in various generations of Fibonacci superlattices and the relation between imaginary value of propagation vector and the existence of forbidden bands is demonstrated.

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“…In spherical layered structures, the spatial dependence of the electromagnetic field, as well as the reflection and transmission coefficients, can be obtained by the transfer matrix technique [8], which also allows the investigation of the localization of light in spherical microcavities.…”

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confidence: 99%