On Floquet-Twersky representation for the diffraction of obliquely incident plane H-polarized electromagnetic waves by an infinite grating of insulating dielectric circular cylinders

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F08%3AA21025Y9" target="_blank" >RIV/61988987:17310/08:A21025Y9 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0096300307011526" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0096300307011526</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2007.11.038" target="_blank" >10.1016/j.amc.2007.11.038</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Floquet-Twersky representation for the diffraction of obliquely incident plane H-polarized electromagnetic waves by an infinite grating of insulating dielectric circular cylinders

Popis výsledku v původním jazyce

The exact analytical solution for the classical electromagnetic problem of the diffraction of obliquely incident plane H-polarized electromagnetic waves by infinite periodic structures made of infinitely long insulating dielectric circular cylinders is investigated. Exploiting the Sommerfeld integral representation of the Hankel function in the transverse electric multiple scattering representation of the infinite periodic array of insulating dielectric circular cylinders for obliquely incident waves [O. Kavaklioglu, On Schlomilch series representation for the transverse electric multiple scattering by an infinite grating of insulating dielectric circular cylinders at oblique incidence, Journal of Physics A: Mathematical and General 35 (9) (2002) 2229-2248], which is expressed in terms of cylindrical modes, a rigorous exact representation for the generalized transmitted and reflected fields of the infinite grating excited by an obliquely incident horizontally polarized plane electromagnetic wave is acquired in terms of 'Twersky's elementary function representations for Schlomilch series', and as a linear superposition of propagating and evanescent 'Floquet plane wave modes' traveling in the directions of diffraction angles.

Název v anglickém jazyce

On Floquet-Twersky representation for the diffraction of obliquely incident plane H-polarized electromagnetic waves by an infinite grating of insulating dielectric circular cylinders

Popis výsledku anglicky

The exact analytical solution for the classical electromagnetic problem of the diffraction of obliquely incident plane H-polarized electromagnetic waves by infinite periodic structures made of infinitely long insulating dielectric circular cylinders is investigated. Exploiting the Sommerfeld integral representation of the Hankel function in the transverse electric multiple scattering representation of the infinite periodic array of insulating dielectric circular cylinders for obliquely incident waves [O. Kavaklioglu, On Schlomilch series representation for the transverse electric multiple scattering by an infinite grating of insulating dielectric circular cylinders at oblique incidence, Journal of Physics A: Mathematical and General 35 (9) (2002) 2229-2248], which is expressed in terms of cylindrical modes, a rigorous exact representation for the generalized transmitted and reflected fields of the infinite grating excited by an obliquely incident horizontally polarized plane electromagnetic wave is acquired in terms of 'Twersky's elementary function representations for Schlomilch series', and as a linear superposition of propagating and evanescent 'Floquet plane wave modes' traveling in the directions of diffraction angles.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2008

Kód důvěrnosti údajů

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

Název periodika

APPL MATH COMPUT

ISSN

0096-3003

e-ISSN

—

Svazek periodika

201

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

1-15

Kód UT WoS článku

000256660400001

EID výsledku v databázi Scopus

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