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References

These references cover the scattering models and numerical methods discussed in the theory pages.

  • Jech, J. M., et al. (2015). Comparisons among ten models of acoustic backscattering used in aquatic ecosystem research. Journal of the Acoustical Society of America, 138, 3742–3764. DOI: 10.1121/1.4937607. Canonical model comparisons, including sphere, shell, spheroid, and finite cylinder.
  • Furusawa, M. (1988). Prolate spheroidal models for predicting general trends of fish target strength. Journal of the Acoustical Society of Japan (E), 9, 13–24. Publisher article. Spheroidal model assumptions and angular coupling.
  • Goodman, R. R., and Stern, R. (1962). Reflection and transmission of sound by elastic spherical shells. Journal of the Acoustical Society of America. DOI: 10.1121/1.1928120. Elastic-shell interface formulation. Distinguish the original identical-fluid assumption from the package's generalized interior-fluid treatment.
  • Hickling, R. (1962). Analysis of echoes from a solid elastic sphere in water. Journal of the Acoustical Society of America. DOI: 10.1121/1.1909055. Solid-elastic sphere scattering.
  • Hayek, S. I., and Boisvert, J. E. (2003). Vibration of prolate spheroidal shells with shear deformation and rotatory inertia: Axisymmetric case. Journal of the Acoustical Society of America, 114, 2799–2811. DOI: 10.1121/1.1616925. Shell kinematics, elastic operators, and natural frequencies.
  • Hackman, R. H. (1984). The transition matrix for acoustic and elastic wave scattering in prolate spheroidal coordinates. Journal of the Acoustical Society of America, 75, 35-45. DOI: 10.1121/1.390297. Spheroidal-coordinate transition matrix underlying tmatrix.
  • Yan, Z. Y. (2017). Simulation of sound transmission through thin elastic shell by the coupled FEM/BEM. International Conference on Computational Methods. Conference paper. Interior/exterior acoustic coupling, pressure loading, and interface normal conventions.
  • Fairweather, G., Karageorghis, A., and Martin, P. A. (2003). The method of fundamental solutions for scattering and radiation problems. Engineering Analysis with Boundary Elements. DOI: 10.1016/S0955-7997(03)00017-1. Author-hosted article. MFS formulations for scattering and radiation problems.
  • Helsing, J., and Karlsson, A. (2014). An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces. Journal of Computational Physics. DOI: 10.1016/j.jcp.2014.04.053. Near-singular quadrature for axisymmetric boundary integral equations.
  • Johnen, A., Remacle, J.-F., and Geuzaine, C. (2013). Geometrical validity of curvilinear finite elements. Journal of Computational Physics. DOI: 10.1016/j.jcp.2012.08.051. Bernstein bounds for curved mesh validity.
  • Burton, A. J., and Miller, G. F. (1971). The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proceedings of the Royal Society of London A. DOI: 10.1098/rspa.1971.0097. Burton–Miller coupling for fictitious-frequency removal.
  • van 't Wout, E., Haqshenas, S. R., Gélat, P., Betcke, T., and Saffari, N. (2022). Boundary integral formulations for acoustic modelling of high-contrast media. Computers & Mathematics with Applications. DOI: 10.1016/j.camwa.2021.11.021. Müller formulation for fluid-transmission BEM.
  • Grebenkov, D. S., and Nguyen, B.-T. (2013). Geometrical structure of Laplacian eigenfunctions. SIAM Review, 55, 601-667. arXiv paper. Domain-monotonicity bound on interior Dirichlet eigenvalues.
  • Faria, L. M., Pérez-Arancibia, C., and Bonnet, M. (2021). General-purpose kernel regularization of boundary integral equations via density interpolation. Computer Methods in Applied Mechanics and Engineering. DOI: 10.1016/j.cma.2021.113703. Density-interpolation quadrature correction.
  • Anderson, V. C. (1950). Sound scattering from a fluid sphere. Journal of the Acoustical Society of America, 22, 426-431. DOI: 10.1121/1.1906621. Rigid, pressure-release, and fluid sphere modal series.
  • Stanton, T. K. (1988). Sound scattering by cylinders of finite length. I. Fluid cylinders. Journal of the Acoustical Society of America, 83, 55-63. DOI: 10.1121/1.396184. Finite-length axial coherence factor for the cylinder modal series.
  • Stanton, T. K. (1988). Sound scattering by cylinders of finite length. II. Elastic cylinders. Journal of the Acoustical Society of America, 83, 64-67. DOI: 10.1121/1.396185. Elastic-cylinder extension of the finite-length series.
  • Stanton, T. K. (1989). Sound scattering by cylinders of finite length. III. Deformed cylinders. Journal of the Acoustical Society of America, 86, 691-705. DOI: 10.1121/1.398193. Fresnel-integral near-broadside correction for bent cylinders.
  • Stanton, T. K. (1990). Sound scattering by spherical and elongated shelled bodies. Journal of the Acoustical Society of America, 88, 1619-1633. DOI: 10.1121/1.400321. Generalized elastic-shell determinant for distinct interior/exterior fluids.
  • Feuillade, C., and Nero, R. W. (1998). A viscous-elastic swimbladder model for describing enhanced-frequency resonance scattering from fish. Journal of the Acoustical Society of America, 103, 3245-3255. DOI: 10.1121/1.423076. Viscous-elastic layered shell model, monopole term.
  • Foote, K. G. (1985). Rather-high-frequency sound scattering by swimbladdered fish. Journal of the Acoustical Society of America, 78, 688-700. DOI: 10.1121/1.392438. Kirchhoff-ray approximation for swimbladdered fish.
  • DiPerna, D. T., and Stanton, T. K. (1994). Sound scattering by cylinders of noncircular cross section: A conformal mapping approach. Journal of the Acoustical Society of America, 96, 3064-3079. DOI: 10.1121/1.411243. Origin of the Fourier matching method, two-dimensional cylinders.
  • Reeder, D. B., and Stanton, T. K. (2004). Acoustic scattering by axisymmetric finite-length bodies: An extension of a two-dimensional conformal mapping method. Journal of the Acoustical Society of America, 116, 729-746. DOI: 10.1121/1.1648681. Extension of Fourier matching to three-dimensional axisymmetric bodies.
  • Reeder, D. B., Jech, J. M., and Stanton, T. K. (2004). Broadband acoustic backscatter and high-resolution morphology of fish: Measurement and modeling. Journal of the Acoustical Society of America, 116, 747-761. DOI: 10.1121/1.1648318. Fourier matching validated against measured fish morphology.

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