Photonic band structure in a one-dimensional distributed Bragg reflector pillar
This paper aims to calculate the photonic band structure in a distributed Bragg reflector pillar. The one-dimensional periodic photonic pillar consists of alternating layers of GaAs and air. We consider the dependence of the GaAs dielectric constant on the hydrostatic pressure at a fixed temperature...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | Materials Research Express |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2053-1591/abd135 |
| _version_ | 1797746810575388672 |
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| author | Francis Segovia-Chaves Erik Navarro Barón Herbert Vinck-Posada |
| author_facet | Francis Segovia-Chaves Erik Navarro Barón Herbert Vinck-Posada |
| author_sort | Francis Segovia-Chaves |
| collection | DOAJ |
| description | This paper aims to calculate the photonic band structure in a distributed Bragg reflector pillar. The one-dimensional periodic photonic pillar consists of alternating layers of GaAs and air. We consider the dependence of the GaAs dielectric constant on the hydrostatic pressure at a fixed temperature value. The guided-mode expansion method is employed in the case of the photonic pillar; on expanding the magnetic field of the pillar into the basis of guided modes of a homogeneous waveguide, a linear eigenvalue problem is obtained. It is observed that the photonic band structure consists of true-guided modes outside the light dispersion in the effective core, and the radiative modes are located above the light dispersion. When the pressure is increased at a given temperature, the dielectric band exhibits a shift to higher frequencies, while the air band exhibits a slight shift to lower frequencies, resulting in a decrease in the width of the photonic band gap. The calculation of the photonic pillar fundamental mode did not yield a cutoff frequency. |
| first_indexed | 2024-03-12T15:42:07Z |
| format | Article |
| id | doaj.art-666d74072e9540a6ba8dd01c5d23635e |
| institution | Directory Open Access Journal |
| issn | 2053-1591 |
| language | English |
| last_indexed | 2024-03-12T15:42:07Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Materials Research Express |
| spelling | doaj.art-666d74072e9540a6ba8dd01c5d23635e2023-08-09T15:54:54ZengIOP PublishingMaterials Research Express2053-15912020-01-0171212620110.1088/2053-1591/abd135Photonic band structure in a one-dimensional distributed Bragg reflector pillarFrancis Segovia-Chaves0https://orcid.org/0000-0002-3232-5796Erik Navarro Barón1Herbert Vinck-Posada2Grupo de Superconductividad y Nanotecnología, Departamento de Física, Universidad Nacional de Colombia , AA 055051 Bogotá, Colombia; Grupo de Física Teórica, Programa de Física, Universidad Surcolombiana , AA 385 Neiva, ColombiaGrupo de Superconductividad y Nanotecnología, Departamento de Física, Universidad Nacional de Colombia , AA 055051 Bogotá, ColombiaGrupo de Superconductividad y Nanotecnología, Departamento de Física, Universidad Nacional de Colombia , AA 055051 Bogotá, ColombiaThis paper aims to calculate the photonic band structure in a distributed Bragg reflector pillar. The one-dimensional periodic photonic pillar consists of alternating layers of GaAs and air. We consider the dependence of the GaAs dielectric constant on the hydrostatic pressure at a fixed temperature value. The guided-mode expansion method is employed in the case of the photonic pillar; on expanding the magnetic field of the pillar into the basis of guided modes of a homogeneous waveguide, a linear eigenvalue problem is obtained. It is observed that the photonic band structure consists of true-guided modes outside the light dispersion in the effective core, and the radiative modes are located above the light dispersion. When the pressure is increased at a given temperature, the dielectric band exhibits a shift to higher frequencies, while the air band exhibits a slight shift to lower frequencies, resulting in a decrease in the width of the photonic band gap. The calculation of the photonic pillar fundamental mode did not yield a cutoff frequency.https://doi.org/10.1088/2053-1591/abd135Photonic crystal slabsdistributed Bragg reflector pillarhydrostatic pressureguided-mode expansion method |
| spellingShingle | Francis Segovia-Chaves Erik Navarro Barón Herbert Vinck-Posada Photonic band structure in a one-dimensional distributed Bragg reflector pillar Materials Research Express Photonic crystal slabs distributed Bragg reflector pillar hydrostatic pressure guided-mode expansion method |
| title | Photonic band structure in a one-dimensional distributed Bragg reflector pillar |
| title_full | Photonic band structure in a one-dimensional distributed Bragg reflector pillar |
| title_fullStr | Photonic band structure in a one-dimensional distributed Bragg reflector pillar |
| title_full_unstemmed | Photonic band structure in a one-dimensional distributed Bragg reflector pillar |
| title_short | Photonic band structure in a one-dimensional distributed Bragg reflector pillar |
| title_sort | photonic band structure in a one dimensional distributed bragg reflector pillar |
| topic | Photonic crystal slabs distributed Bragg reflector pillar hydrostatic pressure guided-mode expansion method |
| url | https://doi.org/10.1088/2053-1591/abd135 |
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