On the structure of multi-Gaussian beam expansion coefficients

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

On the structure of multi-Gaussian beam expansion coefficients

Original language description

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

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BI - Acoustics and oscillation

OECD FORD branch

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Project

<a href="/en/project/GAP101%2F12%2F1925" target="_blank" >GAP101/12/1925: New methods of generation and utilization of finite-amplitude standing acoustic waves</a><br>

Continuities

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

Publication year

2015

Confidentiality

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

Name of the periodical

ACTA ACUSTICA UNITED WITH ACUSTICA

ISSN

1610-1928

e-ISSN

—

Volume of the periodical

101

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

9

Pages from-to

15-23

UT code for WoS article

000348020800003

EID of the result in the Scopus database

2-s2.0-84919754910