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This page is generated directly from the shared bibliography file used across acousticTS documentation.

Complete Bibliography

Abramowitz, Milton, and Irene A. Stegun. 1964. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Ninth Dover printing, tenth GPO printing. Dover Publications.
Achenbach, J. D. 1973. Wave Propagation in Elastic Solids. North-Holland Series in Applied Mathematics and Mechanics, v. 16. North-Holland Pub. Co. American Elsevier Pub. Co.
Amini, S., and P. J. Harris. 1990. “A Comparison Between Various Boundary Integral Formulations of the Exterior Acoustic Problem.” Computer Methods in Applied Mechanics and Engineering 84 (1): 59–75. https://doi.org/10.1016/0045-7825(90)90089-5.
Anderson, Edward et al. 1999. LAPACK Users’ Guide. 3rd ed. SIAM. https://doi.org/10.1137/1.9780898719604.
Anderson, Victor C. 1950. “Sound Scattering from a Fluid Sphere.” The Journal of the Acoustical Society of America 22 (4): 426–31. https://doi.org/10.1121/1.1906621.
Betcke, Timo, and Matthew Scroggs. 2021. “Bempp-Cl: A Fast Python Based Just-in-Time Compiling Boundary Element Library.” Journal of Open Source Software 6 (59): 2879. https://doi.org/10.21105/joss.02879.
Betcke, Timo, Matthew W. Scroggs, and Wojciech migaj. 2021. “Product Algebras for Galerkin Discretisations of Boundary Integral Operators and Their Applications.” ACM Transactions on Mathematical Software (TOMS) 47 (1): 1–27. https://doi.org/10.1145/3412850.
Bezanson, Jeff, Alan Edelman, Stefan Karpinski, and Viral B. Shah. 2017. “Julia: A Fresh Approach to Numerical Computing.” SIAM Review 59 (1): 65–98. https://doi.org/10.1137/141000671.
Bowman, J. J., T. B. A. Senior, and P. L. E. Uslenghi. 1987. Electromagnetic and Acoustic Scattering by Simple Shapes. Hemisphere Publishing Corp.
Burton, A. J., and G. F. Miller. 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. Mathematical and Physical Sciences 323 (1553): 201–10. https://doi.org/10.1098/rspa.1971.0097.
Chu, Dezhang, Kenneth G. Foote, and Timothy K. Stanton. 1993. “Further Analysis of Target Strength Measurements of Antarctic Krill at 38 and 120 kHz: Comparison with Deformed Cylinder Model and Inference of Orientation Distribution.” The Journal of the Acoustical Society of America 93 (5): 2985–88. https://doi.org/10.1121/1.405818.
Chu, Dezhang, and Zhen Ye. 1999. “A Phase-Compensated Distorted Wave Born Approximation Representation of the Bistatic Scattering by Weakly Scattering Objects: Application to Zooplankton.” The Journal of the Acoustical Society of America 106 (4): 1732–43. https://doi.org/10.1121/1.428036.
Clay, C. S. 1991. “Low-Resolution Acoustic Scattering Models: Fluid-Filled Cylinders and Fish with Swim Bladders.” The Journal of the Acoustical Society of America 89 (5): 2168–79. https://doi.org/10.1121/1.400910.
Clay, Clarence S. 1992. “Composite Ray-Mode Approximations for Backscattered Sound from Gas-Filled Cylinders and Swimbladders.” The Journal of the Acoustical Society of America 92 (4): 2173–80. https://doi.org/10.1121/1.405211.
Clay, Clarence S., and John K. Horne. 1994. “Acoustic Models of Fish: The Atlantic Cod (Gadus Morhua).” The Journal of the Acoustical Society of America 96 (3): 1661–68. https://doi.org/10.1121/1.410245.
Colton, David, and Rainer Kress. 2013. Inverse Acoustic and Electromagnetic Scattering Theory. 3rd ed. Vol. 93. Springer. https://doi.org/10.1007/978-1-4614-4942-3.
Commission for the Conservation of Antarctic Marine Living Resources. 2019. SDWBA_TS: Stochastic Distorted-Wave Born Approximation (SDWBA) Target Strength (TS) Model. V. 1.3. Https://github.com/ccamlr/SDWBA_TS; GitHub, released.
Conti, Stéphane G., and David A. Demer. 2006. “Improved Parameterization of the SDWBA for Estimating Krill Target Strength.” ICES Journal of Marine Science 63 (5): 928–35. https://doi.org/10.1016/j.icesjms.2006.02.007.
Costabel, Martin, and Ernst P. Stephan. 1985. “A Direct Boundary Integral Equation Method for Transmission Problems.” Journal of Mathematical Analysis and Applications 106 (2): 367–413. https://doi.org/10.1016/0022-247X(85)90118-0.
Demer, David A., Laurent Berger, Matteo Bernasconi, et al. 2015. Calibration of Acoustic Instruments. ICES Cooperative Research Report. no. 326: 133. https://doi.org/10.17895/ices.pub.5494.
Demer, David A., and Stephane G. Conti. 2003. “Reconciling Theoretical Versus Empirical Target Strengths of Krill: Effects of Phase Variability on the Distorted-Wave Born Approximation.” ICES Journal of Marine Science 60 (2): 429–34. https://doi.org/10.1016/S1054-3139(03)00002-X.
Demer, David A., and Stéphane G. Conti. 2003. “Validation of the Stochastic Distorted-Wave Born Approximation Model with Broad Bandwidth Total Target Strength Measurements of Antarctic Krill.” ICES Journal of Marine Science 60 (3): 625–35. https://doi.org/10.1016/S1054-3139(03)00063-8.
Demer, David A., and Stéphane G. Conti. 2005. “New Target-Strength Model Indicates More Krill in the Southern Ocean.” ICES Journal of Marine Science 62 (1): 25–32. https://doi.org/10.1016/j.icesjms.2004.07.027.
DiMaggio, Frank L., and Richard Rand. 1966. “Axisymmetric Vibrations of Prolate Spheroidal Shells.” Journal of Applied Mechanics 33 (1): 31–36. https://doi.org/10.1115/1.3625016.
Doolittle, R. D., and H. Überall. 1966. “Sound Scattering by Elastic Cylindrical Shells.” The Journal of the Acoustical Society of America 39 (2): 272–75. https://doi.org/10.1121/1.1909886.
Dragonette, Louis R., S. K. Numrich, and Laurence J. Frank. 1981. “Calibration Technique for Acoustic Scattering Measurements.” The Journal of the Acoustical Society of America 69 (4): 1186–89. https://doi.org/10.1121/1.385699.
Dunster, T. M. 2026. Legendre and Related Functions.” Chap. 14 in NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, et al. https://dlmf.nist.gov/14.
Eddelbuettel, Dirk, and James Joseph Balamuta. 2018. Extending R with C++: A Brief Introduction to Rcpp.” The American Statistician 72 (1): 28–36. https://doi.org/10.1080/00031305.2017.1375990.
Eddelbuettel, Dirk, John W. Emerson, and Michael J. Kane. 2025. BH: Boost c++ Header Files. https://doi.org/10.32614/CRAN.package.BH.
Eddelbuettel, Dirk, Romain Francois, Doug Bates, Binxiang Ni, and Conrad Sanderson. 2026. RcppArmadillo: ’Rcpp’ Integration for the ’Armadillo’ Templated Linear Algebra Library. https://doi.org/10.32614/CRAN.package.RcppArmadillo.
Elavia, A. 2021. Liquid_spheroid: Acoustic Scattering by a Liquid Prolate Spheroid. Released. https://github.com/elavia/liquid_spheroid.
Faran, James J. 1951. “Sound Scattering by Solid Cylinders and Spheres.” The Journal of the Acoustical Society of America 23 (4): 405–18. https://doi.org/10.1121/1.1906780.
Feuillade, C., and R. W. Nero. 1998. “A Viscous-Elastic Swimbladder Model for Describing Enhanced-Frequency Resonance Scattering from Fish.” The Journal of the Acoustical Society of America 103 (6): 3245–55. https://doi.org/10.1121/1.423076.
Flammer, Carson. 1957. Spheroidal Wave Functions. https://ui.adsabs.harvard.edu/abs/1957spwf.book.....F.
Folver, F. W. J., and L. C. Maximon. 2026. Bessel Functions.” Chap. 10 in NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, et al. https://dlmf.nist.gov/10.
Foote, K. G. 1990. “Spheres for Calibrating an Eleven-Frequency Acoustic Measurement System.” ICES Journal of Marine Science 46 (3): 284–86. https://doi.org/10.1093/icesjms/46.3.284.
Foote, Kenneth G. 1982. “Optimizing Copper Spheres for Precision Calibration of Hydroacoustic Equipment.” The Journal of the Acoustical Society of America 71 (3): 742–47. https://doi.org/10.1121/1.387497.
Furusawa, Masahiko. 1988. “Prolate Spheroidal Models for Predicting General Trends of Fish Target Strength.” Journal of the Acoustical Society of Japan (E) 9 (1): 13–24. https://doi.org/10.1250/ast.9.13.
Ganesh, Mahadevan, and Stuart Collin Hawkins. 2008. “A Far Field Based T-Matrix Method for Three Dimensional Acoustic Scattering.” ANZIAM Journal 49 (October): 121. https://doi.org/10.21914/anziamj.v50i0.1441.
Ganesh, M., and Stuart C. Hawkins. 2022. “A Numerically Stable T-Matrix Method for Acoustic Scattering by Nonspherical Particles with Large Aspect Ratios and Size Parameters.” The Journal of the Acoustical Society of America 151 (3): 1978–88. https://doi.org/10.1121/10.0009679.
Gastauer, Sven. 2025. SvenGastauer/KRMr: V0.4.8. Zenodo. https://doi.org/10.5281/ZENODO.15838374.
Gastauer, Sven, Dezhang Chu, and Martin J. Cox. 2019. ZooScatRAn <Span Style="font-Variant:small-Caps;">r</Span> 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): EL102–8. https://doi.org/10.1121/1.5085655.
Gaunaurd, G. C. 1977. “High-Frequency Acoustic Scattering from Submerged Cylindrical Shells Coated with Viscoelastic Absorbing Layers.” The Journal of the Acoustical Society of America 62 (3): 503–12. https://doi.org/10.1121/1.381561.
Goodman, Ralph R., and Raya Stern. 1962. “Reflection and Transmission of Sound by Elastic Spherical Shells.” The Journal of the Acoustical Society of America 34 (3): 338–44. https://doi.org/10.1121/1.1928120.
Goodwin, E. T. 1949. “The Evaluation of Integrals of the Form \int_{-\infty}^{\infty} f(x) e^{-x^2} dx.” Proceedings of the Cambridge Philosophical Society 45 (2): 241–45. https://doi.org/10.1017/S0305004100024786.
Gorska, Natalia, Egil Ona, and Rolf Korneliussen. 2005. “Acoustic Backscattering by Atlantic Mackerel as Being Representative of Fish That Lack a Swimbladder. Backscattering by Individual Fish.” ICES Journal of Marine Science 62 (5): 984–95. https://doi.org/10.1016/j.icesjms.2005.03.010.
Hackman, Roger H. 1993. “Acoustic Scattering from Elastic Solids.” In Physical Acoustics, edited by Warren P. Mason, R. N. Thurston, and Allan D. Pierce, vol. 22. Academic Press.
Hackman, Roger H., and Douglas G. Todoroff. 1984. “An Application of the Spheroidal-Coordinate-Based Transition Matrix: Acoustic Scattering from High Aspect Ratio Solids.” The Journal of the Acoustical Society of America 76 (S1): S8–8. https://doi.org/10.1121/1.2022083.
Harris, Charles R., K. Jarrod Millman, Stéfan J. van der Walt, et al. 2020. “Array Programming with NumPy.” Nature 585 (7825): 357–62. https://doi.org/10.1038/s41586-020-2649-2.
Hickling, Robert. 1962. “Analysis of Echoes from a Solid Elastic Sphere in Water.” The Journal of the Acoustical Society of America 34 (10): 1582–92. https://doi.org/10.1121/1.1909055.
Hiptmair, Ralf, and Carlos Jerez-Hanckes. 2012. “Multiple Traces Boundary Integral Formulation for Helmholtz Transmission Problems.” Advances in Computational Mathematics 37 (1): 39–91. https://doi.org/10.1007/s10444-011-9194-3.
Horne, J. K., and J. M. Jech. 1999. “Multi-Frequency Estimates of Fish Abundance: Constraints of Rather High Frequencies.” ICES Journal of Marine Science 56 (2): 184–99. https://doi.org/10.1006/jmsc.1998.0432.
Hsiao, George C., and Wolfgang L. Wendland. 2008. Boundary Integral Equations. Vol. 164. Springer. https://doi.org/10.1007/978-3-540-68545-6.
Ihlenburg, Frank. 1998. Finite Element Analysis of Acoustic Scattering. Springer-Verlag.
Inkscape Project. 2026. Inkscape. Version 1.3. https://inkscape.org/.
ISO/IEC 14882:2020: Programming Languages — C++. 2020. Standard. Vol. 2020. International Organization for Standardization.
Jech, J. Michael, John K. Horne, Dezhang Chu, et al. 2015. “Comparisons Among Ten Models of Acoustic Backscattering Used in Aquatic Ecosystem Research.” The Journal of the Acoustical Society of America 138 (6): 3742–64. https://doi.org/10.1121/1.4937607.
Johnson, Richard K. 1977. “Sound Scattering from a Fluid Sphere Revisited.” The Journal of the Acoustical Society of America 61 (2): 375–77. https://doi.org/10.1121/1.381326.
Junger, Miguel C. 1952. “Sound Scattering by Thin Elastic Shells.” The Journal of the Acoustical Society of America 24 (4): 366–73. https://doi.org/10.1121/1.1906900.
Kargle, S. G., and P. L Marston. n.d. “Observations and Modeling of the Backscattering of Short Tone Bursts from a Spherical Shell: Lamb Wave Echoes, Glory, and Axial Reverberations.” The Journal of the Acoustical Society of America 85 (3): 1014–28. https://doi.org/10.1121/1.397485.
Khodabandeloo, Babak, Mette Dalgaard Agersted, Thor Klevjer, Gavin J. Macaulay, and Webjørn Melle. 2021. “Estimating Target Strength and Physical Characteristics of Gas-Bearing Mesopelagic Fish from Wideband in Situ Echoes Using a Viscous-Elastic Scattering Model.” The Journal of the Acoustical Society of America 149 (1): 673–91. https://doi.org/10.1121/10.0003341.
Khodabandeloo, Babak, Yngve Heggelund, Bjørnar Ystad, Sander Andre Berg Marx, and Geir Pedersen. 2025. “High-Precision Model and Open-Source Software for Acoustic Backscattering by Liquid- and Gas-Filled Prolate Spheroids Across a Wide Frequency Range and Incident Angles: Implications for Fisheries Acoustics.” Journal of Sound and Vibration, 119227. https://doi.org/https://doi.org/10.1016/j.jsv.2025.119227.
Lucca, Brandyn, and Wu-Jung Lee. 2026. OSOceanAcoustics/Echopop: V0.6.0. Zenodo. https://doi.org/10.5281/ZENODO.18975959.
Macaulay, Gavin J. 2025. gavinmacaulay/SphereTS: V1.0.8. https://github.com/gavinmacaulay/SphereTS.
Macaulay, Gavin, and contributors. 2024. echoSMs: Making Acoustic Scattering Models Available to Fisheries and Plankton Scientists.” In GitHub Repository. Https://github.com/ices-tools-dev/echoSMs; GitHub.
MacLennan, D. N. 1981. The Theory of Solid Spheres as Sonar Calibration Targets. Scottish Fisheries Research Report 22. Department of Agriculture; Fisheries for Scotland.
MacLennan, David N. 1990. “Acoustical Measurement of Fish Abundance.” The Journal of the Acoustical Society of America 87 (1): 1–15. https://doi.org/10.1121/1.399285.
MacLennan, David N., Percy G. Fernandes, and John Dalen. 2002. “A Consistent Approach to Definitions and Symbols in Fisheries Acoustics.” ICES Journal of Marine Science 59 (2): 365–69. https://doi.org/10.1006/jmsc.2001.1158.
Marston, Philip L. 1988. “GTD for Backscattering from Elastic Spheres and Cylinders in Water and the Coupling of Surface Elastic Waves with the Acoustic Field.” The Journal of the Acoustical Society of America 83 (1): 25–37. https://doi.org/10.1121/1.396428.
McGehee, D. E., R. L. O’Driscoll, and L. V.Martin Traykovski. 1998. “Effects of Orientation on Acoustic Scattering from Antarctic Krill at 120 kHz.” Deep Sea Research Part II: Topical Studies in Oceanography 45 (7): 1273–94. https://doi.org/10.1016/S0967-0645(98)00036-8.
Medwin, Herman, and Clarence S. Clay. 1998. Fundamentals of Acoustical Oceanography. Applications of Modern Acoustics. Academic Press.
Mishchenko, Michael I., Larry D. Travis, and Andrew A. Lacis. 2002. Scattering, Absorption, and Emission of Light by Small Particles. Cambridge University Press.
Morse, Philip M., and Herman Feshbach. 1953. Methods of Theoretical Physics. McGraw-Hill.
Morse, Philip M., and K. Uno Ingard. 1968. Theoretical Acoustics. McGraw-Hill.
Nieminen, Timo A., Halina Rubinsztein-Dunlop, and Norman R. Heckenberg. 2003. “Calculation of the T-Matrix: General Considerations and Application of the Point-Matching Method.” Journal of Quantitative Spectroscopy and Radiative Transfer 79: 1019–29. https://doi.org/10.1016/S0022-4073(02)00336-9.
Pierce, Allan D. 1989. Acoustics: An Introduction to Its Physical Principles and Applications. Acoustical Society of America.
Press, William H., Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. 2007. Numerical Recipes: The Art of Scientific Computing. 3rd ed. Cambridge University Press.
Python Software Foundation. 2026. Python Language Reference, Version 3.12.
R Core Team. 2026. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing. https://www.R-project.org/.
Rand, Richard. 1968. “Torsional Vibrations of Elastic Prolate Spheroids.” The Journal of the Acoustical Society of America 44 (3): 749–51. https://doi.org/10.1121/1.1911171.
Rand, Richard, and Frank L. DiMaggio. 1967. “Vibrations of Fluid-Filled Spherical and Spheroidal Shells.” The Journal of the Acoustical Society of America 42 (6): 1273–86. https://doi.org/10.1121/1.1910714.
Renfree, J. S., and D. A. Demer. 2014. Standard Sphere Target Strength Calculator. Advanced Survey Technologies, Fisheries Resource Division, Southwest Fisheries Science Center, National Marine Fisheries Service, National Oceanic; Atmospheric Administration. https://www.fisheries.noaa.gov/data-tools/standard-sphere-target-strength-calculator.
Roy, Olver, R., and W. P Reinhardt. 2026. “Algebraic and Analytical Methods.” Chap. 1 in NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, et al. Https://dlmf.nist.gov/1.5#ii, Release 1.2.6 of 2026-03-15. https://dlmf.nist.gov/1.5#ii.
Rudgers, Anthony J. 1969. “Acoustic Pulses Scattered by a Rigid Sphere Immersed in a Fluid.” The Journal of the Acoustical Society of America 45 (4): 900–910. https://doi.org/10.1121/1.1911567.
Saad, Youcef, and Martin H. Schultz. 1986. “GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems.” SIAM Journal on Scientific and Statistical Computing 7 (3): 856–69. https://doi.org/10.1137/0907058.
Sauter, Stefan A., and Christoph Schwab. 2011. Boundary Element Methods. Springer. https://doi.org/10.1007/978-3-540-68093-2.
Schenck, Harry A. 1968. “Improved Integral Formulation for Acoustic Radiation Problems.” The Journal of the Acoustical Society of America 44 (1): 41–58. https://doi.org/10.1121/1.1911085.
Silbiger, Alexander. 1963. “Scattering of Sound by an Elastic Prolate Spheroid.” The Journal of the Acoustical Society of America 35 (4): 564–70. https://doi.org/10.1121/1.1918533.
Silbiger, Alexander, and Frank L. DiMaggio. 1961. Extensional Axi-Symmetric Second Class Vibrations of a Prolate Spheroidal Shell. Technical Report No. 7, Project NR 064-417. Columbia University, Department of Civil Engineering; Engineering Mechanics.
Simmonds, John, and David N. MacLennan. 2005. Fisheries Acoustics: Theory and Practice. 2nd ed. Blackwell Science. https://doi.org/10.1002/9780470995303.
Skudrzyk, Eugen. 1971. The Foundations of Acoustics: Basic Mathematics and Basic Acoustics. Springer-Verlag.
Solymos, Peter, and Zygmunt Zawadzki. 2025. Pbapply: Adding Progress Bar to ’*Apply’ Functions. https://doi.org/10.32614/CRAN.package.pbapply.
Sommerfeld, Arnold. 1949. Partial Differential Equations in Physics. Vol. 6. Lectures on Theoretical Physics. Academic Press.
Southwest Fisheries Science Center. 2022a. KRM Model. National Marine Fisheries Service, National Oceanic; Atmospheric Administration. https://www.fisheries.noaa.gov/data-tools/krm-model.
Southwest Fisheries Science Center. 2022b. SDWBA Model. National Marine Fisheries Service, National Oceanic; Atmospheric Administration. https://www.fisheries.noaa.gov/data-tools/sdwba-model.
Spence, R. D., and Sara Granger. 1951. “The Scattering of Sound from a Prolate Spheroid.” The Journal of the Acoustical Society of America 23 (6): 701–6. https://doi.org/10.1121/1.1906827.
Stanton, T. 1996. “Acoustic Scattering Characteristics of Several Zooplankton Groups.” ICES Journal of Marine Science 53 (2): 289–95. https://doi.org/10.1006/jmsc.1996.0037.
Stanton, T. K. 1988a. “Sound Scattering by Cylinders of Finite Length. I. Fluid Cylinders.” The Journal of the Acoustical Society of America 83 (1): 55–63. https://doi.org/10.1121/1.396184.
Stanton, T. K. 1988b. “Sound Scattering by Cylinders of Finite Length. II. Elastic Cylinders.” The Journal of the Acoustical Society of America 83 (1): 64–67. https://doi.org/10.1121/1.396185.
Stanton, T. K. 1989. “Sound Scattering by Cylinders of Finite Length. III. Deformed Cylinders.” The Journal of the Acoustical Society of America 86 (2): 691–705. https://doi.org/10.1121/1.398193.
Stanton, T. K. 1990. “Sound Scattering by Spherical and Elongated Shelled Bodies.” The Journal of the Acoustical Society of America 88 (3): 1619–33. https://doi.org/10.1121/1.400321.
Stanton, T. K., and D. Chu. 1992. “Sound Scattering by Rough Elongated Elastic Objects. II: Fluctuations of Scattered Field.” The Journal of the Acoustical Society of America 92 (3): 1665–78. https://doi.org/10.1121/1.403906.
Stanton, Timothy K. 1989. “Simple Approximate Formulas for Backscattering of Sound by Spherical and Elongated Objects.” The Journal of the Acoustical Society of America 86 (4): 1499–510. https://doi.org/10.1121/1.398711.
Stanton, Timothy K., Dezhang Chu, and Peter H. Wiebe. 1998. “Sound Scattering by Several Zooplankton Groups. II. Scattering Models.” The Journal of the Acoustical Society of America 103 (1): 236–53. https://doi.org/10.1121/1.421110.
Stanton, Timothy K., Dezhang Chu, Peter H. Wiebe, and Clarence S. Clay. 1993. “Average Echoes from Randomly Oriented Random-Length Finite Cylinders: Zooplankton Models.” The Journal of the Acoustical Society of America 94 (6): 3463–72. https://doi.org/10.1121/1.407200.
Stanton, Timothy K., Dezhang Chu, Peter H. Wiebe, Linda V. Martin, and Robert L. Eastwood. 1998. “Sound Scattering by Several Zooplankton Groups. I. Experimental Determination of Dominant Scattering Mechanisms.” The Journal of the Acoustical Society of America 103 (1): 225–35. https://doi.org/10.1121/1.421469.
Steinbach, Olaf. 2008. Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements. Springer. https://doi.org/10.1007/978-0-387-68805-3.
Temme, N. M. 2026. “Numerical Methods.” Chap. 3 in NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, et al. https://dlmf.nist.gov/3.
The MathWorks, Inc. 2026. MATLAB. Version R2026a. Natick, Massachusetts, United States. https://www.mathworks.com/products/matlab.html.
Überall, Herbert. 1973. “Surface Waves in Acoustics.” In Physical Acoustics, edited by Warren P. Mason and R. N. Thurston, vol. 10. Academic Press.
Urick, Robert J. 1983. Principles of Underwater Sound. 3rd ed. McGraw-Hill.
Van Buren, A. L., and J. E. Boisvert. 2002. “Accurate Calculation of Prolate Spheroidal Radial Functions of the First Kind and Their First Derivatives.” Quarterly of Applied Mathematics 60 (3): 589–99. https://doi.org/10.1090/qam/1915351.
Van Buren, A. L., and J. E. Boisvert. 2004. “Improved Calculation of Prolate Spheroidal Radial Functions of the Second Kind and Their First Derivatives.” Quarterly of Applied Mathematics 62 (3): 493–507. https://doi.org/10.1090/qam/2085732.
Varadan, V. K., V. V. Varadan, Louis R. Dragonette, and Lawrence Flax. 1982. “Computation of Rigid Body Scattering by Prolate Spheroids Using the t -Matrix Approach.” The Journal of the Acoustical Society of America 71 (1): 22–25. https://doi.org/10.1121/1.387311.
Virtanen, Pauli, Ralf Gommers, Travis E. Oliphant, et al. 2020. SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python.” Nature Methods 17: 261–72. https://doi.org/10.1038/s41592-019-0686-2.
Volkmer, H. 2026. Spheroidal Wave Functions.” Chap. 30 in NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, et al. https://dlmf.nist.gov/30.
Waterman, P. C. 1969. “New Formulation of Acoustic Scattering.” The Journal of the Acoustical Society of America 45 (6): 1417–29. https://doi.org/10.1121/1.1911619.
Waterman, P. C. 2009. “T -Matrix Methods in Acoustic Scattering.” The Journal of the Acoustical Society of America 125 (1): 42–51. https://doi.org/10.1121/1.3035839.
Waterman, Peter C. 1971. “Symmetry, Unitarity, and Geometry in Electromagnetic Scattering.” Physical Review D 3 (4): 825–39. https://doi.org/10.1103/PhysRevD.3.825.
Ye, Z. 1997. “A Novel Approach to Sound Scattering by Cylinders of Finite Length.” The Journal of the Acoustical Society of America 102 (2): 877–84. https://doi.org/10.1121/1.419910.
Ye, Z. n.d. “Low-Frequency Acoustic Scattering by Gas-Filled Prolate Spheroids in Liquids.” The Journal of the Acoustical Society of America 101 (4): 1945–52. https://doi.org/10.1121/1.418225.
Yeh, C. 1967. “Scattering of Acoustic Waves by a Penetrable Prolate Spheroid. I. Liquid Prolate Spheroid.” The Journal of the Acoustical Society of America 42 (2): 518–21. https://doi.org/10.1121/1.1910614.