Propagation of electromagnetic waves through non-uniform dielectric layers

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00324122" target="_blank" >RIV/68407700:21230/18:00324122 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1364/JOSAB.35.002541" target="_blank" >http://dx.doi.org/10.1364/JOSAB.35.002541</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1364/JOSAB.35.002541" target="_blank" >10.1364/JOSAB.35.002541</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Propagation of electromagnetic waves through non-uniform dielectric layers

Popis výsledku v původním jazyce

The propagation of TE- and TM-polarized electromagnetic (EM) waves through a dielectric layer with spatial variation of the refractive index is reported in this paper. The relative permittivity of the layer is assumed to be graded along the thickness direction, and its spatial variation is described by a quartic polynomial. The corresponding mode equations are Helmholtz equations with variable coefficients that can be transformed to a triconfluent Heun equation, a local exact solution of which is expressed in terms of tri-confluent Heun functions. The solutions cover many particular cases owing to a variability of four optional parameters (coefficients) of the quartic polynomial. The general local solution for a TE-polarized EM wave is employed for the calculation of transmission properties of a periodic one-dimensional photonic crystal using the Floquet theory. (C) 2018 Optical Society of America

Název v anglickém jazyce

Propagation of electromagnetic waves through non-uniform dielectric layers

Popis výsledku anglicky

The propagation of TE- and TM-polarized electromagnetic (EM) waves through a dielectric layer with spatial variation of the refractive index is reported in this paper. The relative permittivity of the layer is assumed to be graded along the thickness direction, and its spatial variation is described by a quartic polynomial. The corresponding mode equations are Helmholtz equations with variable coefficients that can be transformed to a triconfluent Heun equation, a local exact solution of which is expressed in terms of tri-confluent Heun functions. The solutions cover many particular cases owing to a variability of four optional parameters (coefficients) of the quartic polynomial. The general local solution for a TE-polarized EM wave is employed for the calculation of transmission properties of a periodic one-dimensional photonic crystal using the Floquet theory. (C) 2018 Optical Society of America

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

2018

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

35

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

2541-2549

Kód UT WoS článku

000446000500034

EID výsledku v databázi Scopus

2-s2.0-85054514364