Eigenfrequencies of an acoustic rectangular cavity containing a rigid small sphere

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National Technical University of Athens

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Title

Eigenfrequencies of an acoustic rectangular cavity containing a rigid small sphere (EN)

Creator

Roumeliotis, JA (EN)

Type

journalArticle (EN)

Partial document
Publication in journal (EN)

Article
Scientific article (EN)

Issued

2014-03-01T01:09:23Z

1993 (EN)

Year

1993 (EN)

Description

Analytical expressions are derived for the eigenfrequencies of any mode in a hard-walled acoustic rectangular cavity, containing an acoustically small rigid sphere. A straightforward and simple approach is employed to obtain a first-order perturbation of the cavity eigenfunctions and the corresponding eigenfrequency shifts. Rectangular wave functions, as well as their expansion in terms of cylindrical wave functions and finally in terms of spherical ones, are used. The results are useful in problems connected with acoustic levitation and with excitation or probing of resonant cavities. Some suggestions are made about the best positioning of the probe, for more exact measurement of the eigenfrequency of any mode in the unperturbed cavity. Graphical results for some of the lower-order modes are given, for various values of the parameters. (EN)

Scientific field

Acoustics (EN)

Natural Sciences ▶ Physical sciences
Acoustics and Ultrasonics (EN)

Subject

calculation (EN)

acoustics (EN)

geometry (EN)

mathematical analysis (EN)

article (EN)

measurement (EN)

Journal

Journal of the Acoustical Society of America (EN)