Tunable band structure in 2D Bravais–Moiré photonic crystal lattices

This work introduces the recent so called Bravais Moiré theory in the context of two dimensional photonic crystals. In particular, new periodic cells involving commensurable bilayer rotated square alignments of photonic crystals with different permittivity constants are considered. The corresponding...

Full description

Autores:

Tipo de recurso:

Fecha de publicación:: 2020

Institución:: Universidad de Medellín

Repositorio:: Repositorio UDEM

Idioma:: eng

id	REPOUDEM2_8072aa435311f7aad00139bbf1e4b29a
oai_identifier_str	oai:repository.udem.edu.co:11407/5748
network_acronym_str	REPOUDEM2
network_name_str	Repositorio UDEM
repository_id_str
dc.title.none.fl_str_mv	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
title	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
spellingShingle	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices 2D photonic crystals Bravais Moiré lattice Tunable band gap Crystal lattices Energy gap Permittivity 2-D photonic crystals Bravais Dielectric structure Permittivity constant Square lattices Tunable band structures Tunable Band-gap Two-dimensional photonic crystals Photonic band gap
title_short	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
title_full	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
title_fullStr	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
title_full_unstemmed	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
title_sort	Tunable band structure in 2D Bravais–Moiré photonic crystal lattices
dc.subject.none.fl_str_mv	2D photonic crystals Bravais Moiré lattice Tunable band gap Crystal lattices Energy gap Permittivity 2-D photonic crystals Bravais Dielectric structure Permittivity constant Square lattices Tunable band structures Tunable Band-gap Two-dimensional photonic crystals Photonic band gap
topic	2D photonic crystals Bravais Moiré lattice Tunable band gap Crystal lattices Energy gap Permittivity 2-D photonic crystals Bravais Dielectric structure Permittivity constant Square lattices Tunable band structures Tunable Band-gap Two-dimensional photonic crystals Photonic band gap
description	This work introduces the recent so called Bravais Moiré theory in the context of two dimensional photonic crystals. In particular, new periodic cells involving commensurable bilayer rotated square alignments of photonic crystals with different permittivity constants are considered. The corresponding band gaps are wider than those usually reported in literature for square lattice dielectric structures, and a practical comparison is carried out in the calculation in order to verify such assert. These photonic gaps can be adjusted by changing different lattice parameters, such as the commensurable angle, and the permittivities involved. © 2019 Elsevier B.V.
publishDate	2020
dc.date.accessioned.none.fl_str_mv	2020-04-29T14:53:52Z
dc.date.available.none.fl_str_mv	2020-04-29T14:53:52Z
dc.date.none.fl_str_mv	2020
dc.type.eng.fl_str_mv	Article
dc.type.coarversion.fl_str_mv	http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.none.fl_str_mv	info:eu-repo/semantics/article
dc.identifier.issn.none.fl_str_mv	304018
dc.identifier.uri.none.fl_str_mv	http://hdl.handle.net/11407/5748
dc.identifier.doi.none.fl_str_mv	10.1016/j.optcom.2019.125081
identifier_str_mv	304018 10.1016/j.optcom.2019.125081
url	http://hdl.handle.net/11407/5748
dc.language.iso.none.fl_str_mv	eng
language	eng
dc.relation.isversionof.none.fl_str_mv	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076262194&doi=10.1016%2fj.optcom.2019.125081&partnerID=40&md5=c22cc1905eb402db914a7de7549e5fda
dc.relation.citationvolume.none.fl_str_mv	459
dc.relation.references.none.fl_str_mv	Joannopoulos, J.D., Photonic Crystals, Molding the Flow of Light (2007), Princeton University Press Anderson, C.M., Giapis, K.P., Larger two-dimensional photonic band gaps (1996) Phys. Rev. Lett., 77, pp. 2949-2952 Kushwaha, M.S., Djafari-Rouhani, B., Band-gap engineering in two-dimensional periodic photonic crystals (2000) J. Appl. Phys., 88, pp. 2877-2884 Qiu, M., He, S., Optimal design of a two-dimensional photonic crystal of square lattice with a large complete two-dimensional bandgap (2000) J. Opt. Soc. Amer. B, 17, pp. 1027-1030 David, S., Chelnokov, A., Lourtioz, J.-M., Wide angularly isotropic photonic bandgaps obtained from the two-dimensional photonic crystals with archimedean-like tilings (2000) Opt. Lett., 25, pp. 1001-1003 David, S., Chelnokov, A., Lourtioz, J.-M., Isotropic photonic structures: Archimedean-like tilings an quasi-crystals (2001) Opt. Quantum. Electron., 37, pp. 1427-1434 Ye, Z., Shen, L., He, S., Design for 2D anisotropic photonic crystal with large absolute band gaps by using a genetic algorithm (2004) Eur. Phys. J. B, 37, pp. 417-419 Preble, S., Lipson, M., Lipson, H., Two-dimensional photonic crystals designed by evolutionary algorithms (2005) Appl. Phys. Lett., 86 Zarei, S., Shahabadi, M., Mohajerzadeh, S., Symmetry reduction for maximization of higher-order stop-bands in two-dimensional photonic crystals (2008) J. Modern Opt., 55, pp. 2971-2980 Sigmund, O., Hougaard, K., Geometric properties of optimal photonic crystals (2008) Phys. Rev. Lett., 100 Dyogtyev, A.V., Sukhoivanov, I.A., De La Rue, R.M., Photonic band-gap maps for different two dimensionally periodic photonic crystal structures (2010) J. Appl. Phys., 107 Men, H., Nguyen, N.C., Freund, R.M., Lim, K.M., Parrilo, P.A., Peraire, J., Design of photonic crystals with multiple and combined band gaps (2011) Phys. Rev. E, 83 Men, H., Nguyen, N.C., Freund, R.M., Lim, K.M., Parrilo, P.A., Peraire, J., (2012) Phys. Rev. E, 85, p. 049909. , (erratum) Shi, P., Huang, K., Li, Y.-P., Photonic crystal with complex unit cell for large complete band gap (2012) Opt. Commun., 285, pp. 3128-3132 Cheng, X.-L., Yang, J., Maximizing band gaps in two-dimensional photonic crystals in square lattices (2013) J. Opt. Soc. Amer. A, 30, pp. 2314-2319 Meng, F., Li, Y., Li, S., Lin, H., Jia, B., Huang, X., Achieving large band gaps in 2D symmetric and asymmetric photonic crystals (2017) J. Lightwave Technol., 35, p. 1670 Cerjan, A., Fan, S., Complete photonic band gaps in supercell photonic crystals (2017) Phys. Rev. A, 96 Li, S., Lin, H., Meng, F., Moss, D., Huang, X., Jia, B., On-demand design of tunable complete photonic band gaps based on bloch mode analysis (2018) Sci. Rep., 8, p. 14283 Li, W., Meng, F., Chen, Y., Li, Y., Huang, X., Topology optimization of photonic and phononic crystals and metamaterials: A review (2019) Adv. Theory Simul., 2, p. 1900017 Bravais, A., Mémoire sur les systèmes formés par les points distribués régulièrement sur un plan ou dans l'espace (1850) J. Ecole Polytech., 33 (19), pp. 1-128 Balci, S., Karabiyik, M., Kosabas, A., Kosabas, C., Aydinli, A., Coupled plasmonic cavities on Moiré surfaces (2010) Plasmonics, 5, p. 429 Balci, S., Kocabas, A., Kocabas, C., Aydinli, A., Localization of surface plasmon polaritons in hexagonal arrays of Moiré cavities (2011) Appl. Phys. Lett., 98 Lubin, S.M., Hryn, A.J., Huntington, M.D., Engel, C.J., Odom, T.W., Quasiperiodic Moiré plasmonic crystals (2011) ACS Nano, 98 Cao, Y., Fatemi, V., Fang, S., Watanabe, K., Taniguchi, T., Kaxiras, E., Jarillo-Herrero, P., Unconventional superconductivity in magic-angle graphene superlattices (2018) Nature, 556, pp. 43-50 Shallcross, S., Sharma, S., Pankratov, O.A., Document quantum interference at the twist boundary in graphene (2008) Phys. Rev. Lett., 101 Shallcross, S., Sharma, S., Kandelaki, E., Pankratov, O.A., Electronic structure of turbostratic graphene (2010) Phys. Rev. B, 81 (16) Shallcross, S., Sharma, S., Pankratov, O.A., Erratum: Electronic structure of turbostratic graphene (2010) Phys. Rev. B, 81 Caro-Lopera, F.J., Bravais-Moiré Theory: Technical Report (2017), University of Medellin Tiutiunnyk, A., Duque, C.A., Caro-Lopera, F.J., Mora-Ramos, M.E., Correa, J.D., Opto-electronic properties of twisted bilayer graphene quantum dots (2019) Physica E, 112, pp. 36-43 Yokota, M., Sesay, M., Two-dimensional scattering of a plane wave from a periodic array of dielectric cylinders with arbitrary shape (2008) J. Opt. Soc. Amer. A, 25, pp. 1691-1696 Zhu, N., Liu, W., Zhang, N., Wang, J., Cheng, C., Photonic band gap failure in photonic crystal devices (2011) Optik, 122, pp. 1625-1627 Solli, D.R., Hickmann, J.M., Study of the properties of 2d photonic crystal structures as a function of the air-filling fraction and refractive index contrast (2011) Opt. Mater., 33, pp. 523-526 Gaji?, R., Jovanovi?, D., Hingerl, K., R, J., Meisels, C., Kuchar, F., 2D photonic crystals on the Archimedean lattices (tribute to Johannes Kepler (1571-1630)) (2008) Opt. Mater., 30, pp. 1065-1069 Jovanovi?, D., Gaji?, R., Hingerl, K., Refraction and band isotropy in 2D square-like Archimedean photonic crystal lattices (2008) Opt. Express, 16, pp. 4048-4058 Berman, O.L., Boyko, V.S., Ya. Kezerashvili, R., Kolesnikov, A.A., Yu. E. Lozovik, C., Graphene-based photonic crystal (2018) Phys. Lett. A, 374, pp. 4784-4786 Berman, O.L., Boyko, V.S., Ya. Kezerashvili, R., Kolesnikov, A.A., Lozovik, Y.E., On transmittance and localization of the electromagnetic wave in two-dimensional graphene-based photonic crystals (2018) Phys. Lett. A, 382, p. 429 Taflove, A., Hagness, S.G., Computational Electrodynamics: The Finite-Difference Time Domain Method (2005), third ed. Artech House Boston Sözüer, H.S., Haus, J.W., Inguva, R., Photonic bands: Convergence problems with the plane-wave method (1992) Phys. Rev. B., 45, pp. 13962-13972 Sukhoivanov, I.A., Guryev, I.V., Photonic Crystals, Physics and Practical Modeling (2009), first ed. Springer-Verlag Berlin Heidelberg Ung, B., Study of the interaction of surface waves with a metallic nano-slit via the finite-difference time-domain method (2007), (M.Sc. thesis) https://refractiveindex.info/
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_16ec
rights_invalid_str_mv	http://purl.org/coar/access_right/c_16ec
dc.publisher.none.fl_str_mv	Elsevier B.V.
dc.publisher.program.none.fl_str_mv	Facultad de Ciencias Básicas
dc.publisher.faculty.none.fl_str_mv	Facultad de Ciencias Básicas
publisher.none.fl_str_mv	Elsevier B.V.
dc.source.none.fl_str_mv	Optics Communications
institution	Universidad de Medellín
repository.name.fl_str_mv	Repositorio Institucional Universidad de Medellin
repository.mail.fl_str_mv	repositorio@udem.edu.co
_version_	1814159105822031872
spelling	20202020-04-29T14:53:52Z2020-04-29T14:53:52Z304018http://hdl.handle.net/11407/574810.1016/j.optcom.2019.125081This work introduces the recent so called Bravais Moiré theory in the context of two dimensional photonic crystals. In particular, new periodic cells involving commensurable bilayer rotated square alignments of photonic crystals with different permittivity constants are considered. The corresponding band gaps are wider than those usually reported in literature for square lattice dielectric structures, and a practical comparison is carried out in the calculation in order to verify such assert. These photonic gaps can be adjusted by changing different lattice parameters, such as the commensurable angle, and the permittivities involved. © 2019 Elsevier B.V.engElsevier B.V.Facultad de Ciencias BásicasFacultad de Ciencias Básicashttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85076262194&doi=10.1016%2fj.optcom.2019.125081&partnerID=40&md5=c22cc1905eb402db914a7de7549e5fda459Joannopoulos, J.D., Photonic Crystals, Molding the Flow of Light (2007), Princeton University PressAnderson, C.M., Giapis, K.P., Larger two-dimensional photonic band gaps (1996) Phys. Rev. Lett., 77, pp. 2949-2952Kushwaha, M.S., Djafari-Rouhani, B., Band-gap engineering in two-dimensional periodic photonic crystals (2000) J. Appl. Phys., 88, pp. 2877-2884Qiu, M., He, S., Optimal design of a two-dimensional photonic crystal of square lattice with a large complete two-dimensional bandgap (2000) J. Opt. Soc. Amer. B, 17, pp. 1027-1030David, S., Chelnokov, A., Lourtioz, J.-M., Wide angularly isotropic photonic bandgaps obtained from the two-dimensional photonic crystals with archimedean-like tilings (2000) Opt. Lett., 25, pp. 1001-1003David, S., Chelnokov, A., Lourtioz, J.-M., Isotropic photonic structures: Archimedean-like tilings an quasi-crystals (2001) Opt. Quantum. Electron., 37, pp. 1427-1434Ye, Z., Shen, L., He, S., Design for 2D anisotropic photonic crystal with large absolute band gaps by using a genetic algorithm (2004) Eur. Phys. J. B, 37, pp. 417-419Preble, S., Lipson, M., Lipson, H., Two-dimensional photonic crystals designed by evolutionary algorithms (2005) Appl. Phys. Lett., 86Zarei, S., Shahabadi, M., Mohajerzadeh, S., Symmetry reduction for maximization of higher-order stop-bands in two-dimensional photonic crystals (2008) J. Modern Opt., 55, pp. 2971-2980Sigmund, O., Hougaard, K., Geometric properties of optimal photonic crystals (2008) Phys. Rev. Lett., 100Dyogtyev, A.V., Sukhoivanov, I.A., De La Rue, R.M., Photonic band-gap maps for different two dimensionally periodic photonic crystal structures (2010) J. Appl. Phys., 107Men, H., Nguyen, N.C., Freund, R.M., Lim, K.M., Parrilo, P.A., Peraire, J., Design of photonic crystals with multiple and combined band gaps (2011) Phys. Rev. E, 83Men, H., Nguyen, N.C., Freund, R.M., Lim, K.M., Parrilo, P.A., Peraire, J., (2012) Phys. Rev. E, 85, p. 049909. , (erratum)Shi, P., Huang, K., Li, Y.-P., Photonic crystal with complex unit cell for large complete band gap (2012) Opt. Commun., 285, pp. 3128-3132Cheng, X.-L., Yang, J., Maximizing band gaps in two-dimensional photonic crystals in square lattices (2013) J. Opt. Soc. Amer. A, 30, pp. 2314-2319Meng, F., Li, Y., Li, S., Lin, H., Jia, B., Huang, X., Achieving large band gaps in 2D symmetric and asymmetric photonic crystals (2017) J. Lightwave Technol., 35, p. 1670Cerjan, A., Fan, S., Complete photonic band gaps in supercell photonic crystals (2017) Phys. Rev. A, 96Li, S., Lin, H., Meng, F., Moss, D., Huang, X., Jia, B., On-demand design of tunable complete photonic band gaps based on bloch mode analysis (2018) Sci. Rep., 8, p. 14283Li, W., Meng, F., Chen, Y., Li, Y., Huang, X., Topology optimization of photonic and phononic crystals and metamaterials: A review (2019) Adv. Theory Simul., 2, p. 1900017Bravais, A., Mémoire sur les systèmes formés par les points distribués régulièrement sur un plan ou dans l'espace (1850) J. Ecole Polytech., 33 (19), pp. 1-128Balci, S., Karabiyik, M., Kosabas, A., Kosabas, C., Aydinli, A., Coupled plasmonic cavities on Moiré surfaces (2010) Plasmonics, 5, p. 429Balci, S., Kocabas, A., Kocabas, C., Aydinli, A., Localization of surface plasmon polaritons in hexagonal arrays of Moiré cavities (2011) Appl. Phys. Lett., 98Lubin, S.M., Hryn, A.J., Huntington, M.D., Engel, C.J., Odom, T.W., Quasiperiodic Moiré plasmonic crystals (2011) ACS Nano, 98Cao, Y., Fatemi, V., Fang, S., Watanabe, K., Taniguchi, T., Kaxiras, E., Jarillo-Herrero, P., Unconventional superconductivity in magic-angle graphene superlattices (2018) Nature, 556, pp. 43-50Shallcross, S., Sharma, S., Pankratov, O.A., Document quantum interference at the twist boundary in graphene (2008) Phys. Rev. Lett., 101Shallcross, S., Sharma, S., Kandelaki, E., Pankratov, O.A., Electronic structure of turbostratic graphene (2010) Phys. Rev. B, 81 (16)Shallcross, S., Sharma, S., Pankratov, O.A., Erratum: Electronic structure of turbostratic graphene (2010) Phys. Rev. B, 81Caro-Lopera, F.J., Bravais-Moiré Theory: Technical Report (2017), University of MedellinTiutiunnyk, A., Duque, C.A., Caro-Lopera, F.J., Mora-Ramos, M.E., Correa, J.D., Opto-electronic properties of twisted bilayer graphene quantum dots (2019) Physica E, 112, pp. 36-43Yokota, M., Sesay, M., Two-dimensional scattering of a plane wave from a periodic array of dielectric cylinders with arbitrary shape (2008) J. Opt. Soc. Amer. A, 25, pp. 1691-1696Zhu, N., Liu, W., Zhang, N., Wang, J., Cheng, C., Photonic band gap failure in photonic crystal devices (2011) Optik, 122, pp. 1625-1627Solli, D.R., Hickmann, J.M., Study of the properties of 2d photonic crystal structures as a function of the air-filling fraction and refractive index contrast (2011) Opt. Mater., 33, pp. 523-526Gaji?, R., Jovanovi?, D., Hingerl, K., R, J., Meisels, C., Kuchar, F., 2D photonic crystals on the Archimedean lattices (tribute to Johannes Kepler (1571-1630)) (2008) Opt. Mater., 30, pp. 1065-1069Jovanovi?, D., Gaji?, R., Hingerl, K., Refraction and band isotropy in 2D square-like Archimedean photonic crystal lattices (2008) Opt. Express, 16, pp. 4048-4058Berman, O.L., Boyko, V.S., Ya. Kezerashvili, R., Kolesnikov, A.A., Yu. E. Lozovik, C., Graphene-based photonic crystal (2018) Phys. Lett. A, 374, pp. 4784-4786Berman, O.L., Boyko, V.S., Ya. Kezerashvili, R., Kolesnikov, A.A., Lozovik, Y.E., On transmittance and localization of the electromagnetic wave in two-dimensional graphene-based photonic crystals (2018) Phys. Lett. A, 382, p. 429Taflove, A., Hagness, S.G., Computational Electrodynamics: The Finite-Difference Time Domain Method (2005), third ed. Artech House BostonSözüer, H.S., Haus, J.W., Inguva, R., Photonic bands: Convergence problems with the plane-wave method (1992) Phys. Rev. B., 45, pp. 13962-13972Sukhoivanov, I.A., Guryev, I.V., Photonic Crystals, Physics and Practical Modeling (2009), first ed. Springer-Verlag Berlin HeidelbergUng, B., Study of the interaction of surface waves with a metallic nano-slit via the finite-difference time-domain method (2007), (M.Sc. thesis)https://refractiveindex.info/Optics Communications2D photonic crystalsBravais Moiré latticeTunable band gapCrystal latticesEnergy gapPermittivity2-D photonic crystalsBravaisDielectric structurePermittivity constantSquare latticesTunable band structuresTunable Band-gapTwo-dimensional photonic crystalsPhotonic band gapTunable band structure in 2D Bravais–Moiré photonic crystal latticesArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Gómez-Urrea, H.A., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia; Ospina-Medina, M.C., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia; Correa-Abad, J.D., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia; Mora-Ramos, M.E., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia, Centro de Investigación en Ciencias-IICBA, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Morelos, Cuernavaca CP 62209, Mexico; Caro-Lopera, F.J., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombiahttp://purl.org/coar/access_right/c_16ecGómez-Urrea H.A.Ospina-Medina M.C.Correa-Abad J.D.Mora-Ramos M.E.Caro-Lopera F.J.11407/5748oai:repository.udem.edu.co:11407/57482021-02-02 14:53:08.996Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co

Tunable band structure in 2D Bravais–Moiré photonic crystal lattices

Publicaciones similares