Abstract
The characteristics of an acoustic scatterer are often described by scattering coefficients. The understanding of the mechanisms involved in the frequency dependent features of the coefficients has been a challenge task, owing to the complicated coupling between the waves in open space and the modes inside the finite scatterer. In this paper, a frequency-dependent modal description of the scattering coefficient is utilized to study the modal properties of the scatterer. The important role that eigenmodes play in defining the features of the scattering coefficients is revealed via an expansion of the coefficients by the eigenmodes. The results show the local extrema of the scattering coefficients can be attributed to the constructive/destructive interference of resonant and non-resonant modes. In particular, an approximated equation, which is equivalent to the standard Fano formula, is obtained to describe the sharp anti-symmetric Fano characteristics of the scattering coefficients. The special cases where scattering is dominated by a single resonance eigenmode, corresponding to the “resonance transmission”, are also illustrated.
| Original language | English |
|---|---|
| Pages (from-to) | 242-252 |
| Number of pages | 11 |
| Journal | Wave Motion |
| Volume | 68 |
| DOIs | |
| Publication status | Published - 1 Jan 2017 |
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Modal analysis of the scattering coefficients of an open cavity in a waveguide. / Tong, Yuhui; Pan, Jie.
In: Wave Motion, Vol. 68, 01.01.2017, p. 242-252.Research output: Contribution to journal › Article
TY - JOUR
T1 - Modal analysis of the scattering coefficients of an open cavity in a waveguide
AU - Tong, Yuhui
AU - Pan, Jie
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The characteristics of an acoustic scatterer are often described by scattering coefficients. The understanding of the mechanisms involved in the frequency dependent features of the coefficients has been a challenge task, owing to the complicated coupling between the waves in open space and the modes inside the finite scatterer. In this paper, a frequency-dependent modal description of the scattering coefficient is utilized to study the modal properties of the scatterer. The important role that eigenmodes play in defining the features of the scattering coefficients is revealed via an expansion of the coefficients by the eigenmodes. The results show the local extrema of the scattering coefficients can be attributed to the constructive/destructive interference of resonant and non-resonant modes. In particular, an approximated equation, which is equivalent to the standard Fano formula, is obtained to describe the sharp anti-symmetric Fano characteristics of the scattering coefficients. The special cases where scattering is dominated by a single resonance eigenmode, corresponding to the “resonance transmission”, are also illustrated.
AB - The characteristics of an acoustic scatterer are often described by scattering coefficients. The understanding of the mechanisms involved in the frequency dependent features of the coefficients has been a challenge task, owing to the complicated coupling between the waves in open space and the modes inside the finite scatterer. In this paper, a frequency-dependent modal description of the scattering coefficient is utilized to study the modal properties of the scatterer. The important role that eigenmodes play in defining the features of the scattering coefficients is revealed via an expansion of the coefficients by the eigenmodes. The results show the local extrema of the scattering coefficients can be attributed to the constructive/destructive interference of resonant and non-resonant modes. In particular, an approximated equation, which is equivalent to the standard Fano formula, is obtained to describe the sharp anti-symmetric Fano characteristics of the scattering coefficients. The special cases where scattering is dominated by a single resonance eigenmode, corresponding to the “resonance transmission”, are also illustrated.
KW - Eigenmode
KW - Fano resonance
KW - Open cavity
KW - Scattering coefficient
UR - http://www.scopus.com/inward/record.url?scp=84994633386&partnerID=8YFLogxK
U2 - 10.1016/j.wavemoti.2016.11.001
DO - 10.1016/j.wavemoti.2016.11.001
M3 - Article
VL - 68
SP - 242
EP - 252
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
ER -