PMID- 19894796
OWN - NLM
STAT- MEDLINE
DCOM- 20100128
LR  - 20131121
IS  - 1520-8524 (Electronic)
IS  - 0001-4966 (Linking)
VI  - 126
IP  - 5
DP  - 2009 Nov
TI  - Near resonant bubble acoustic cross-section corrections, including examples from 
      oceanography, volcanology, and biomedical ultrasound.
PG  - 2163-75
LID - 10.1121/1.3180130 [doi]
AB  - The scattering cross-section sigma(s) of a gas bubble of equilibrium radius R(0) 
      in liquid can be written in the form sigma(s)=4piR(0) (2)[(omega(1) 
      (2)omega(2)-1)(2)+delta(2)], where omega is the excitation frequency, omega(1) is 
      the resonance frequency, and delta is a frequency-dependent dimensionless damping 
      coefficient. A persistent discrepancy in the frequency dependence of the 
      contribution to delta from radiation damping, denoted delta(rad), is identified 
      and resolved, as follows. Wildt's [Physics of Sound in the Sea (Washington, DC, 
      1946), Chap. 28] pioneering derivation predicts a linear dependence of delta(rad) 
      on frequency, a result which Medwin [Ultrasonics 15, 7-13 (1977)] reproduces 
      using a different method. Weston [Underwater Acoustics, NATO Advanced Study 
      Institute Series Vol. II, 55-88 (1967)], using ostensibly the same method as 
      Wildt, predicts the opposite relationship, i.e., that delta(rad) is inversely 
      proportional to frequency. Weston's version of the derivation of the scattering 
      cross-section is shown here to be the correct one, thus resolving the 
      discrepancy. Further, a correction to Weston's model is derived that amounts to a 
      shift in the resonance frequency. A new, corrected, expression for the extinction 
      cross-section is also derived. The magnitudes of the corrections are illustrated 
      using examples from oceanography, volcanology, planetary acoustics, neutron 
      spallation, and biomedical ultrasound. The corrections become significant when 
      the bulk modulus of the gas is not negligible relative to that of the surrounding 
      liquid.
FAU - Ainslie, Michael A
AU  - Ainslie MA
AD  - Sonar Department, TNO, 2509 JG The Hague, The Netherlands.
FAU - Leighton, Timothy G
AU  - Leighton TG
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
PT  - Research Support, U.S. Gov't, Non-P.H.S.
PL  - United States
TA  - J Acoust Soc Am
JT  - The Journal of the Acoustical Society of America
JID - 7503051
RN  - 0 (Gases)
RN  - 059QF0KO0R (Water)
SB  - IM
MH  - *Acoustics
MH  - Biomedical Engineering/*methods
MH  - Gases
MH  - Linear Models
MH  - *Models, Theoretical
MH  - Oceanography/*methods
MH  - Ultrasonography/*methods
MH  - Vibration
MH  - *Volcanic Eruptions
MH  - Water
EDAT- 2009/11/10 06:00
MHDA- 2010/01/29 06:00
CRDT- 2009/11/10 06:00
PHST- 2009/11/10 06:00 [entrez]
PHST- 2009/11/10 06:00 [pubmed]
PHST- 2010/01/29 06:00 [medline]
AID - 10.1121/1.3180130 [doi]
PST - ppublish
SO  - J Acoust Soc Am. 2009 Nov;126(5):2163-75. doi: 10.1121/1.3180130.