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ECMS

Source: vignettes/ecms/index.Rmd
index.Rmd

Overview

Unvalidated Experimental
Theory Implementation

The elastic-cylinder modal-series model (ECMS) calculates near-broadside scattering from a finite solid elastic cylinder. It retains both longitudinal and shear waves in the solid.

Core idea

Solve the infinite circular elastic-cylinder interface through modal phase shifts, then apply a finite-length coherence factor. Uniform curvature can be represented by the corresponding Fresnel correction (Faran 1951; Stanton 1988).

Best for

  • Straight or uniformly bent solid elastic cylinders near broadside
  • Backbone-like canonical components where shear-wave support matters
  • Elastic-cylinder reference and sensitivity calculations

Supports

  • Cylindrical ESS objects, with the elastic component stored in the shell slot
  • Legacy cylindrical FLS geometry carriers for backward compatibility
  • User-supplied density and longitudinal and transverse elastic wave speeds

Main assumptions

  • A homogeneous isotropic solid with circular cross-section
  • Broadside or near-broadside incidence
  • Finite length and uniform curvature represented through coherence factors
  • No surrounding flesh-body coupling or arbitrary elastic geometry

Validation status

  • ECMS is currently marked experimental because the documented checks are independent algebra reconstructions rather than an external benchmark or software-comparison ladder.

Family pages

  • Implementation: supported objects, material inputs, output, and current checks
  • Theory: elastic potentials, phase shifts, and finite-length closure

References

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.
Stanton, T. K. 1988. “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.