Octonacci photonic quasicrystals
We study theoretically the transmission spectra in one-dimensional photonic quasicrystals, made up of iO2(A) and TiO2(B) materials, organized following the Octonacci sequence, where the nth-stage of the multilayer Sn is given by the rule Sn ¼ Sn1Sn2Sn1, for n P 3 and with S1 ¼ A and S2 ¼ B. The expr...
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ri-123456789-291252020-06-07T07:36:19Z Octonacci photonic quasicrystals Anselmo, Dory Hélio Aires de Lima Brandão, E. R. Costa, C. H. Vasconcelos, Manoel Silva de Mello, V. D. Photonic crystals Photonic band gaps Quasiperiodic system Optical properties We study theoretically the transmission spectra in one-dimensional photonic quasicrystals, made up of iO2(A) and TiO2(B) materials, organized following the Octonacci sequence, where the nth-stage of the multilayer Sn is given by the rule Sn ¼ Sn1Sn2Sn1, for n P 3 and with S1 ¼ A and S2 ¼ B. The expression for transmittance was obtained by employing a theoretical calculation based on the transfer-matrix method. For normally incident waves, we observe that, for a same generation, the transmission spectra for transverse electric (TE) and transverse magnetic (TM) waves are equal, at least qualitatively, and they present a scaling property where a self-similar behavior is obtained, as an evidence that these spectra are fractals. The spectra show regions where the omnidirectional band gaps emerges for specific generations of Octonacci photonic structure, except to TM waves. For TE waves, we note that all of them have almost the same width, for different generations. We also report the localization of modes as a consequence of the quasiperiodicity of the heterostructure 2020-06-03T12:40:20Z 2020-06-03T12:40:20Z 2015-05-09 article BRANDÃO, E.R.; COSTA, C.H.; VASCONCELOS, M.S.; ANSELMO, D.H. A. L.; MELLO, V.D.. Octonacci photonic quasicrystals. Optical Materials, [s.l.], v. 46, p. 378-383, ago. 2015. Elsevier. Disponível em: https://www.sciencedirect.com/science/article/pii/S0925346715002797?via%3Dihub. Acesso em: 03 Jun 2020. http://dx.doi.org/10.1016/j.optmat.2015.04.051. 0925-3467 https://repositorio.ufrn.br/jspui/handle/123456789/29125 10.1016/j.optmat.2015.04.051 en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf Elsevier |
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Photonic crystals Photonic band gaps Quasiperiodic system Optical properties |
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Photonic crystals Photonic band gaps Quasiperiodic system Optical properties Anselmo, Dory Hélio Aires de Lima Brandão, E. R. Costa, C. H. Vasconcelos, Manoel Silva de Mello, V. D. Octonacci photonic quasicrystals |
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We study theoretically the transmission spectra in one-dimensional photonic quasicrystals, made up of iO2(A) and TiO2(B) materials, organized following the Octonacci sequence, where the nth-stage of the multilayer Sn is given by the rule Sn ¼ Sn1Sn2Sn1, for n P 3 and with S1 ¼ A and S2 ¼ B. The expression for transmittance was obtained by employing a theoretical calculation based on the transfer-matrix method. For normally incident waves, we observe that, for a same generation, the transmission spectra for transverse electric (TE) and transverse magnetic (TM) waves are equal, at least qualitatively, and they present a scaling property where a self-similar behavior is obtained, as an evidence that these spectra are fractals. The spectra show regions where the omnidirectional band gaps emerges for specific generations of Octonacci photonic structure, except to TM waves. For TE waves, we note that all of them have almost the same width, for different generations. We also report the localization of modes as a consequence of the quasiperiodicity of the heterostructure |
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article |
author |
Anselmo, Dory Hélio Aires de Lima Brandão, E. R. Costa, C. H. Vasconcelos, Manoel Silva de Mello, V. D. |
author_facet |
Anselmo, Dory Hélio Aires de Lima Brandão, E. R. Costa, C. H. Vasconcelos, Manoel Silva de Mello, V. D. |
author_sort |
Anselmo, Dory Hélio Aires de Lima |
title |
Octonacci photonic quasicrystals |
title_short |
Octonacci photonic quasicrystals |
title_full |
Octonacci photonic quasicrystals |
title_fullStr |
Octonacci photonic quasicrystals |
title_full_unstemmed |
Octonacci photonic quasicrystals |
title_sort |
octonacci photonic quasicrystals |
publisher |
Elsevier |
publishDate |
2020 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29125 |
work_keys_str_mv |
AT anselmodoryhelioairesdelima octonacciphotonicquasicrystals AT brandaoer octonacciphotonicquasicrystals AT costach octonacciphotonicquasicrystals AT vasconcelosmanoelsilvade octonacciphotonicquasicrystals AT mellovd octonacciphotonicquasicrystals |
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1773961061069750272 |