Wave equation solution for multilayer planar waveguides in a spatial frequency domain
Possibilities of new numerical method for solving the wave equation of multilayer planar waveguide were investigated. The method is based on the use of Fourier transform to the wave equation and its solution in the frequency domain by using the numerical method. The final task of finding propagation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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National Academy of Sciences of Ukraine. Institute of Semi conductor physics.
2017-12-01
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| Series: | Semiconductor Physics, Quantum Electronics & Optoelectronics |
| Subjects: | |
| Online Access: | http://journal-spqeo.org.ua/n4_2017/P424-429abstr.html |
| _version_ | 1828779302185861120 |
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| author | V.M. Fitio A.V. Bendzyak I.Y. Yaremchuk Y.V. Bobitski |
| author_facet | V.M. Fitio A.V. Bendzyak I.Y. Yaremchuk Y.V. Bobitski |
| author_sort | V.M. Fitio |
| collection | DOAJ |
| description | Possibilities of new numerical method for solving the wave equation of multilayer planar waveguide were investigated. The method is based on the use of Fourier transform to the wave equation and its solution in the frequency domain by using the numerical method. The final task of finding propagation constants and the Fourier images of the fields in discrete form is reduced to the problem on the eigenvalues and eigenvectors. The new method provides highly accurate calculation of propagation constants and their fields and is characterized by high numerical stability. |
| first_indexed | 2024-12-11T16:59:14Z |
| format | Article |
| id | doaj.art-907d89cd31904a428e1634490df8719d |
| institution | Directory Open Access Journal |
| issn | 1560-8034 1605-6582 |
| language | English |
| last_indexed | 2024-12-11T16:59:14Z |
| publishDate | 2017-12-01 |
| publisher | National Academy of Sciences of Ukraine. Institute of Semi conductor physics. |
| record_format | Article |
| series | Semiconductor Physics, Quantum Electronics & Optoelectronics |
| spelling | doaj.art-907d89cd31904a428e1634490df8719d2022-12-22T00:57:52ZengNational Academy of Sciences of Ukraine. Institute of Semi conductor physics.Semiconductor Physics, Quantum Electronics & Optoelectronics1560-80341605-65822017-12-0120442442910.15407/spqeo20.04.424Wave equation solution for multilayer planar waveguides in a spatial frequency domainV.M. Fitio0A.V. Bendzyak1I.Y. Yaremchuk2Y.V. Bobitski3Department of Photonics, Lviv Polytechnic National University, Lviv, Ukraine Department of Photonics, Lviv Polytechnic National University, Lviv, Ukraine Department of Photonics, Lviv Polytechnic National University, Lviv, Ukraine Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, PolandPossibilities of new numerical method for solving the wave equation of multilayer planar waveguide were investigated. The method is based on the use of Fourier transform to the wave equation and its solution in the frequency domain by using the numerical method. The final task of finding propagation constants and the Fourier images of the fields in discrete form is reduced to the problem on the eigenvalues and eigenvectors. The new method provides highly accurate calculation of propagation constants and their fields and is characterized by high numerical stability.http://journal-spqeo.org.ua/n4_2017/P424-429abstr.htmlFourier transformmultilayer planar waveguidespropagation constants |
| spellingShingle | V.M. Fitio A.V. Bendzyak I.Y. Yaremchuk Y.V. Bobitski Wave equation solution for multilayer planar waveguides in a spatial frequency domain Semiconductor Physics, Quantum Electronics & Optoelectronics Fourier transform multilayer planar waveguides propagation constants |
| title | Wave equation solution for multilayer planar waveguides in a spatial frequency domain |
| title_full | Wave equation solution for multilayer planar waveguides in a spatial frequency domain |
| title_fullStr | Wave equation solution for multilayer planar waveguides in a spatial frequency domain |
| title_full_unstemmed | Wave equation solution for multilayer planar waveguides in a spatial frequency domain |
| title_short | Wave equation solution for multilayer planar waveguides in a spatial frequency domain |
| title_sort | wave equation solution for multilayer planar waveguides in a spatial frequency domain |
| topic | Fourier transform multilayer planar waveguides propagation constants |
| url | http://journal-spqeo.org.ua/n4_2017/P424-429abstr.html |
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