Model validity ranges, limitations and examples - SvenGastauer/scatmod GitHub Wiki

Modified from Jech et al. (2015)

Model Accuracy / Type Range of Validity Limitations Examples
MSS Exact / Analytical Canonical shapes (currently 11 available) Convergence issues with some shapes Anderson (1950)
BEM Quasi-exact / Numerical All shapes, all frequencies, all angles High computational demands (slightly better with Fast-Multipole BEM) Francis et al. (1998); Francis and Foote (2003); Okumura et al. (2003)
FEM Quasi-exact / Numerical All shapes, all frequencies, all angles High computational demands Zampolli et al. (2007); Macaulay et al. (2013)
FMM Exact / Analytical If Axisymmetric - All shapes, all frequencies, all angles Non-axisymmetric, convergence issues at high aspect ratios Reeder and Stanton (2004)
KA Approximate High Frequencies only, near normal incidence, homogenous material Off-normal incidence, low frequencies, no circumferential waves Macaulay et al. (2013)
KRM Approximate All frequencies, homogenous material; at high frequencies: high aspect ratios; at low frequencies: near-normal incidence Off-normal incidence, no circumferential waves, no longitudinal modes of vibration near resonance Horne et al. (2000); Macaulay et al. (2013); Gastauer et al. (2016)
Modal series based DCM Approximate Near normal incidence; all frequencies; circular cross-sections; all material off-normal incidence, low aspect ratios, irregular shapes with high local slopes Gorska and Ona (2003); Stanton (1989)
DWBA (incl PT-DWBA,SDWBA) Approximate Weak scatterers (g and h < 1.005 i.e. < 5%), all shapes, all angles Strong scatterers (g and h > 5%) Chu and Ye (1999); Demer et al. (2003); Calise and Skaret (2011); Gastauer et al. (2019)

Model Acoronyms:

  • MSS - Exact Modal Series Solutions
  • BEM - Boundary Element Model
  • FEM - Finite Element Model
  • FMM - Fourier Matching Method
  • KA - Kirchhoff Approximation
  • DCM - Deformed Cylinder scattering Model

References:

  • Anderson, V. C. (1950). Sound scattering from a fluid sphere. The Journal of the Acoustical Society of America, 22(4), 426-431.
  • Calise, L., and Skaret, G. (2011). “Sensitivity investigation of the SDWBA Antarctic krill target strength model to fatness, material contrasts and orientation,” Ccamlr Science 18, 97–122.
  • Chu, D., and Ye, Z. (1999). “A phase-compensated distorted wave born approximation representation of the bistatic scattering by weakly scattering objects: Application to zooplankton,” J. Acoust. Soc. Am.106, 1732–1743.
  • Demer, D. A., and Conti, S. G. (2003). “Reconciling theoretical versus empirical target strengths of krill: Effects of phase variability on the distorted-wave Born approximation,” ICES J. Mar. Sci. 60, 429–434.
  • Francis, D. T., Foote, K. G., Alippi, A., & Cannelli, G. B. (1998). ‘Boundary-element-model predictions of acoustic scattering by swimbladder-bearing fish. In Proceedings of the Fourth European Conference on Underwater Acoustics (Vol. 1, pp. 255-260). Rome: CNR-IDAC.
  • Francis, D. T., & Foote, K. G. (2003). Depth-dependent target strengths of gadoids by the boundary-element method. The Journal of the Acoustical Society of America, 114(6), 3136-3146.
  • Gastauer, S., Chu, D., & Cox, M. J. (2019). ZooScatR—An r package for modelling the scattering properties of weak scattering targets using the distorted wave Born approximation. The Journal of the Acoustical Society of America, 145(1), EL102-EL108.
  • Gastauer, S., Scoulding, B., Fässler, S. M., Benden, D. P., & Parsons, M. (2016). Target strength estimates of red emperor (Lutjanus sebae) with Bayesian parameter calibration. Aquatic Living Resources, 29(3), 301.
  • Gorska, N., & Ona, E. (2003). Modelling the acoustic effect of swimbladder compression in herring. ICES Journal of Marine Science, 60(3), 548-554.
  • Horne, J. K., Walline, P. D., & Jech, J. M. (2000). Comparing acoustic model predictions to in situ backscatter measurements of fish with dual‐chambered swimbladders. Journal of fish Biology, 57(5), 1105-1121.
  • Jech, J. M., Horne, J. K., Chu, D., Demer, D. A., Francis, D. T., Gorska, N., ... & Reeder, D. B. (2015). Comparisons among ten models of acoustic backscattering used in aquatic ecosystem research. The Journal of the Acoustical Society of America, 138(6), 3742-3764.
  • Macaulay, G. J., Peña, H., Fässler, S. M., Pedersen, G., & Ona, E. (2013). Accuracy of the Kirchhoff-approximation and Kirchhoff-ray-mode fish swimbladder acoustic scattering models. PloS one, 8(5), e64055.
  • Okumura, T., Masuya, T., Takao, Y., & Sawada, K. (2003). Acoustic scattering by an arbitrarily shaped body: An application of the boundary-element method. ICES Journal of Marine Science, 60(3), 563-570.
  • Reeder, D. B., & Stanton, T. K. (2004). Acoustic scattering by axisymmetric finite-length bodies: An extension of a two-dimensional conformal mapping method. The Journal of the Acoustical Society of America, 116(2), 729-746.
  • Stanton T.K. Sound scattering by cylinders of finite length. III. Deformed cylinders, Journal of the Acoustical Society of America, 1989, vol. 86 (pg. 691-705)
  • Zampolli, M., Tesei, A., Jensen, F. B., Malm, N., & Blottman III, J. B. (2007). A computationally efficient finite element model with perfectly matched layers applied to scattering from axially symmetric objects. The Journal of the Acoustical Society of America, 122(3), 1472-1485.