One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential
Exact analytical results expressed in terms of Bessel functions for the bandgaps, reflectance and transmittance of one-dimensional photonic crystals with a sawtooth refractive index profile on the period are derived, to our knowledge for the first time. This extends the set of exactly solvable model...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
|
| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/10/103009 |
| _version_ | 1827874555587198976 |
|---|---|
| author | G V Morozov D W L Sprung J Martorell |
| author_facet | G V Morozov D W L Sprung J Martorell |
| author_sort | G V Morozov |
| collection | DOAJ |
| description | Exact analytical results expressed in terms of Bessel functions for the bandgaps, reflectance and transmittance of one-dimensional photonic crystals with a sawtooth refractive index profile on the period are derived, to our knowledge for the first time. This extends the set of exactly solvable models with periodic refractive indices. Asymptotic approximations to the above exact results have been also obtained. |
| first_indexed | 2024-03-12T16:53:33Z |
| format | Article |
| id | doaj.art-592830a6e91846dfab25b65422f407f4 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:53:33Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-592830a6e91846dfab25b65422f407f42023-08-08T11:03:26ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151010300910.1088/1367-2630/15/10/103009One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potentialG V Morozov0D W L Sprung1J Martorell2Scottish Universities Physics Alliance (SUPA), Thin Film Centre, University of the West of Scotland , Paisley PA1 2BE, UKDepartment of Physics and Astronomy, McMaster University, Hamilton , Ontario L8S 4M1, CanadaDepartament d'Estructura i Constituents de la Materia, Facultat Física, University of Barcelona , Barcelona E-08028, SpainExact analytical results expressed in terms of Bessel functions for the bandgaps, reflectance and transmittance of one-dimensional photonic crystals with a sawtooth refractive index profile on the period are derived, to our knowledge for the first time. This extends the set of exactly solvable models with periodic refractive indices. Asymptotic approximations to the above exact results have been also obtained.https://doi.org/10.1088/1367-2630/15/10/103009 |
| spellingShingle | G V Morozov D W L Sprung J Martorell One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential New Journal of Physics |
| title | One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential |
| title_full | One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential |
| title_fullStr | One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential |
| title_full_unstemmed | One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential |
| title_short | One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential |
| title_sort | one dimensional photonic crystals with a sawtooth refractive index another exactly solvable potential |
| url | https://doi.org/10.1088/1367-2630/15/10/103009 |
| work_keys_str_mv | AT gvmorozov onedimensionalphotoniccrystalswithasawtoothrefractiveindexanotherexactlysolvablepotential AT dwlsprung onedimensionalphotoniccrystalswithasawtoothrefractiveindexanotherexactlysolvablepotential AT jmartorell onedimensionalphotoniccrystalswithasawtoothrefractiveindexanotherexactlysolvablepotential |