Electromagnetic waves in graded-index planar waveguides
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00345822" target="_blank" >RIV/68407700:21230/20:00345822 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1364/JOSAB.408679" target="_blank" >https://doi.org/10.1364/JOSAB.408679</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1364/JOSAB.408679" target="_blank" >10.1364/JOSAB.408679</a>
Alternative languages
Result language
angličtina
Original language name
Electromagnetic waves in graded-index planar waveguides
Original language description
The propagation of guided TE and TM modes through graded-index planar waveguides is reported in this paper. Both a real-valued and complex-valued position-dependent refractive index are supposed for a film layer. It is possible to set various refractive index profiles based on five distribution parameters. For the position-dependent refractive index, the governing equations are transformed to Heun's differential equation, an exact local solution expressed in terms of local Heun functions. The general nature of these functions is demonstrated based on four degenerate cases of Heun's equation. The calculation of guided modes requires evaluation of the general solution in the interval containing two regular singular points. For this purpose, the generalized Heun function is introduced and employed in general solutions to the governing equations. The applicability of the generalized solutions is demonstrated by the calculation of guided modes for both the real-valued and complex-valued refractive index.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
<a href="/en/project/GA18-24954S" target="_blank" >GA18-24954S: Propagation of acoustic waves through phononic materials and structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of the Optical Society of America
ISSN
0740-3224
e-ISSN
1520-8540
Volume of the periodical
37
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
3631-3643
UT code for WoS article
000595619400011
EID of the result in the Scopus database
2-s2.0-85096946582