Presentation 2001/1/18
Eigenfrequency and eigenmode analysis for semi-standium 2-D fields.
Yoh-ichi FUJISAKA, Yoshinori TAKAHASHI, Mikio TOHYAMA,
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Abstract(in English) Chaotic properties are hidden in a sound ray propagated in a sound space surrounded by irregularly shaped boundaries. A stadium type of boundary is an example of the type of condision where chaotic properties are hidden. This type of chaotoc phenomenon was pointed out by Berry who proposed a new research area named quantum chaology. The main purpose of quantum chaology is to find a new corresponding principle between the classecal and quantum systems by studying the "fingerprints of chaos"that remain in linear-wave fields. The theoretical study of the fingerprints of waves, which are termed leftover in linear-wave theory and are caused by the emergence of chaotic behaavior in sound ray propagation, is also important for sound-field analysis and sound space design for irregularly shaped boundary conditions. Eigenfrequency and modal patterns are significant topics in the study of fingerprints. This paper numerically analyzed eigenfrequency statistics and modal patterns in semi-stadium-type 2-D fields, as examples of boundaries where chaotic properties are hidden. The authors made clear that the skewness and the symmetry is decreased as the shape shifts in the irregular system.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) chaos / room acoustics / stadium / eigenfrequency / eigenmode
Paper # US2000-84,EA2000-91
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Committee US
Conference Date 2001/1/18(1days)
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Registration To Ultrasonics (US)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Eigenfrequency and eigenmode analysis for semi-standium 2-D fields.
Sub Title (in English)
Keyword(1) chaos
Keyword(2) room acoustics
Keyword(3) stadium
Keyword(4) eigenfrequency
Keyword(5) eigenmode
1st Author's Name Yoh-ichi FUJISAKA
1st Author's Affiliation Kogakuin University()
2nd Author's Name Yoshinori TAKAHASHI
2nd Author's Affiliation Kogakuin University
3rd Author's Name Mikio TOHYAMA
3rd Author's Affiliation Kogakuin University
Date 2001/1/18
Paper # US2000-84,EA2000-91
Volume (vol) vol.100
Number (no) 578
Page pp.pp.-
#Pages 6
Date of Issue