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Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation
The article describes a numerical method based on Fourier transform for studying propagating optical waves in dielectric planar waveguides. The inverse problem to the known direct one in waveguide investigation is proposed, namely a search of light wavelengths according to taken values of propagatio...
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2016
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| Series: | Semiconductor Physics Quantum Electronics & Optoelectronics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/121520 |
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irk-123456789-1215202017-06-15T03:04:52Z Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation Fitio, V.M. Romakh, V.V. Bobitski, Ya.V. The article describes a numerical method based on Fourier transform for studying propagating optical waves in dielectric planar waveguides. The inverse problem to the known direct one in waveguide investigation is proposed, namely a search of light wavelengths according to taken values of propagation constants. For each constant a set of wavelengths is obtained, among which an input value of wavelength from direct problem exists necessarily. A high accuracy of the method proposed is confirmed by exact values obtained by solution of transcendental dispersion equation. This method is tested on many examples, in particular, for waveguides of different permittivity profiles or for TE and TM modes propagate there. 2016 Article Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation / V.M. Fitio, V.V. Romakh, Ya.V. Bobitski // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2016. — Т. 19, № 1. — С. 28-33. — Бібліогр.: 17 назв. — англ. 1560-8034 DOI: 10.15407/spqeo19.01.028 PACS 42.65.Wi, 77.22.Ch http://dspace.nbuv.gov.ua/handle/123456789/121520 en Semiconductor Physics Quantum Electronics & Optoelectronics Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
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English |
| description |
The article describes a numerical method based on Fourier transform for studying propagating optical waves in dielectric planar waveguides. The inverse problem to the known direct one in waveguide investigation is proposed, namely a search of light wavelengths according to taken values of propagation constants. For each constant a set of wavelengths is obtained, among which an input value of wavelength from direct problem exists necessarily. A high accuracy of the method proposed is confirmed by exact values obtained by solution of transcendental dispersion equation. This method is tested on many examples, in particular, for waveguides of different permittivity profiles or for TE and TM modes propagate there. |
| format |
Article |
| author |
Fitio, V.M. Romakh, V.V. Bobitski, Ya.V. |
| spellingShingle |
Fitio, V.M. Romakh, V.V. Bobitski, Ya.V. Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation Semiconductor Physics Quantum Electronics & Optoelectronics |
| author_facet |
Fitio, V.M. Romakh, V.V. Bobitski, Ya.V. |
| author_sort |
Fitio, V.M. |
| title |
Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation |
| title_short |
Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation |
| title_full |
Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation |
| title_fullStr |
Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation |
| title_full_unstemmed |
Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation |
| title_sort |
search of mode wavelengths in planar waveguides by using fourier transform of wave equation |
| publisher |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/121520 |
| citation_txt |
Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation / V.M. Fitio, V.V. Romakh, Ya.V. Bobitski // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2016. — Т. 19, № 1. — С. 28-33. — Бібліогр.: 17 назв. — англ. |
| series |
Semiconductor Physics Quantum Electronics & Optoelectronics |
| work_keys_str_mv |
AT fitiovm searchofmodewavelengthsinplanarwaveguidesbyusingfouriertransformofwaveequation AT romakhvv searchofmodewavelengthsinplanarwaveguidesbyusingfouriertransformofwaveequation AT bobitskiyav searchofmodewavelengthsinplanarwaveguidesbyusingfouriertransformofwaveequation |
| first_indexed |
2023-10-18T20:39:45Z |
| last_indexed |
2023-10-18T20:39:45Z |
| _version_ |
1796150785448345600 |