The RCWA Method - A Case Study with Open Questions and Perspectives of Algebraic Computations

Kód výsledku v IS VaVaI

RIV/67985807:_____/08:00330013 - isvavai.cz

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

The RCWA Method - A Case Study with Open Questions and Perspectives of Algebraic Computations

Popis výsledku v původním jazyce

Diffraction of light on a periodic media represents an important problem with numerous physical and engineering applications. The RCWA method assumes a specific form of gratings which enables a straightforward separation of space variables. Using Fourierexpansions, the solutions of the resulting systems of ordinary differential equations for the Fourier amplitudes can after truncation be written in a form of matrix functions, with an elegant formulation of the linear algebraic problem for integrating constants. In our text we present derivation of the RCWA method, we formulate open questions which still need to be addressed and discuss perspectives of efficient solution of the related highly structured linear algebraic problems. A detailed understanding of the RCWA method for the two-dimensional grating is in our opinion necessary for development of successful generalization of the method to practical problems.

Název v anglickém jazyce

The RCWA Method - A Case Study with Open Questions and Perspectives of Algebraic Computations

Popis výsledku anglicky

Diffraction of light on a periodic media represents an important problem with numerous physical and engineering applications. The RCWA method assumes a specific form of gratings which enables a straightforward separation of space variables. Using Fourierexpansions, the solutions of the resulting systems of ordinary differential equations for the Fourier amplitudes can after truncation be written in a form of matrix functions, with an elegant formulation of the linear algebraic problem for integrating constants. In our text we present derivation of the RCWA method, we formulate open questions which still need to be addressed and discuss perspectives of efficient solution of the related highly structured linear algebraic problems. A detailed understanding of the RCWA method for the two-dimensional grating is in our opinion necessary for development of successful generalization of the method to practical problems.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

IAA100300802: Teorie metod Krylovových podprostorů a její vztah k jiným oblastem matematiky

Návaznosti

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

Rok uplatnění

2008

Kód důvěrnosti údajů

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

Název periodika

Electronic Transactions on Numerical Analysis

ISSN

1068-9613

e-ISSN

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Svazek periodika

31

Číslo periodika v rámci svazku

-

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

27

Strana od-do

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Kód UT WoS článku

000271746400022

EID výsledku v databázi Scopus

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