On the structure of multi-Gaussian beam expansion coefficients

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F15%3A00222914" target="_blank" >RIV/68407700:21230/15:00222914 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3813/AAA.918800" target="_blank" >http://dx.doi.org/10.3813/AAA.918800</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3813/AAA.918800" target="_blank" >10.3813/AAA.918800</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the structure of multi-Gaussian beam expansion coefficients

Popis výsledku v původním jazyce

This work deals with the structure and properties of multi-Gaussian beam expansion coefficients. An alternative formulation of an objective function is proposed for heuristic calculation of the coefficients together with a procedure for reducing the dimensionality of the corresponding optimization problem to a quarter of its original size. The proposed objective function enables us to avoid numerical integration within the process of its evaluation in some practically important cases, which greatly speeds up the calculations. An evolutionary algorithm is employed for global minimization of the objective function resulting in determination of the multi-Gaussian beam expansion coefficients enabling us high-accuracy analytical calculation of acoustic (ultrasonic) fields radiated by planar sources. The calculated expansion coefficients are provided for the case of an axi-symmetric uniform piston, a simply supported or clamped disc and a thin membrane. A simple relation delimiting validity

Název v anglickém jazyce

On the structure of multi-Gaussian beam expansion coefficients

Popis výsledku anglicky

This work deals with the structure and properties of multi-Gaussian beam expansion coefficients. An alternative formulation of an objective function is proposed for heuristic calculation of the coefficients together with a procedure for reducing the dimensionality of the corresponding optimization problem to a quarter of its original size. The proposed objective function enables us to avoid numerical integration within the process of its evaluation in some practically important cases, which greatly speeds up the calculations. An evolutionary algorithm is employed for global minimization of the objective function resulting in determination of the multi-Gaussian beam expansion coefficients enabling us high-accuracy analytical calculation of acoustic (ultrasonic) fields radiated by planar sources. The calculated expansion coefficients are provided for the case of an axi-symmetric uniform piston, a simply supported or clamped disc and a thin membrane. A simple relation delimiting validity

Druh

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

CEP obor

BI - Akustika a kmity

OECD FORD obor

—

Projekt

<a href="/cs/project/GAP101%2F12%2F1925" target="_blank" >GAP101/12/1925: Nové metody generování a využití stojatých zvukových vln konečných amplitud</a><br>

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

ACTA ACUSTICA UNITED WITH ACUSTICA

ISSN

1610-1928

e-ISSN

—

Svazek periodika

101

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

9

Strana od-do

15-23

Kód UT WoS článku

000348020800003

EID výsledku v databázi Scopus

2-s2.0-84919754910