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acousticTS includes geometry-matched modal solutions, weak-scattering and high-frequency approximations, composite-target models, layered-sphere models, and a transition-matrix family. These models are alternatives only when their geometry, boundary conditions, acoustic regime, and outputs overlap. The inter-model literature provides useful comparisons, but does not define one model as the universal default (Jech et al. 2015).

Use Choosing a Model to narrow the library by target and scientific question. Select a family name below to open its overview.

The badge icons summarize benchmark, validation, and lifecycle status. Hover over a badge, or move keyboard focus to it, to read the evidence and scope for that family. See Validation and Benchmark Reproduction for the full status definitions and evidence registry.

Browse by family

SPHMS

Benchmarked Validated

Spherical modal-series solution for canonical spherical targets.

FCMS

Benchmarked Validated

Finite-cylinder modal-series solution for straight cylindrical targets.

PSMS

Benchmarked Validated

Prolate-spheroidal modal-series solution for smooth elongated canonical bodies.

SOEMS

Benchmarked Validated

Solid elastic spherical model used mainly for calibration spheres.

ESSMS

Unvalidated

Elastic-shelled spherical family for layered shell targets.

BCMS

Unvalidated Experimental

Bent-cylinder modal-series family for straight and uniformly bent cylinders.

ECMS

Unvalidated Experimental

Elastic-cylinder modal-series family for fully elastic solid cylinders.

Approximation and ray-based families

DWBA

Benchmarked Validated

Weak-scattering elongated-body approximation for fluid-like targets.

SDWBA

Benchmarked Validated

Stochastic DWBA family for unresolved phase variability.

KRM

Benchmarked Validated

Kirchhoff-ray mode model for segmented fish-like body-plus-inclusion targets.

HPA

Benchmarked Validated

High-pass approximation for compact asymptotic screening.

TRCM

Benchmarked Unvalidated

Two-ray cylindrical family for high-frequency locally cylindrical targets.

PCDWBA

Validated Experimental

Phase-compensated DWBA for bent weakly scattering targets.

Composite, layered, and transition-matrix families

BBFM

Unvalidated Experimental

Composite flesh-plus-backbone family for swimbladder-less fish-like targets.

VESM

Validated Experimental

Viscous-elastic layered-sphere family for gas-core, shell, and viscous-layer targets.

TMM

Benchmarked Partially validated Experimental

Single-target transition-matrix family for retained monostatic and angle-dependent scattering products across supported canonical shapes.

What each family page contains

Each family has a local set of pages:

  • Overview identifies the intended target, supported object types, and main assumptions.
  • Theory develops the physical and mathematical formulation.
  • Implementation documents package inputs, numerical controls, examples, figures, and validation details.

Model status can differ across branches of the same family. Read the family overview and implementation page before treating a compatible function call as evidence that the model is appropriate for a target.

References

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.