Electromagnetic waves in graded-index planar waveguides

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Electromagnetic waves in graded-index planar waveguides

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Electromagnetic waves in graded-index planar waveguides

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

<a href="/cs/project/GA18-24954S" target="_blank" >GA18-24954S: Šíření akustických vln fononickými materiály a strukturami</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of the Optical Society of America

ISSN

0740-3224

e-ISSN

1520-8540

Svazek periodika

37

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

3631-3643

Kód UT WoS článku

000595619400011

EID výsledku v databázi Scopus

2-s2.0-85096946582