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BCMS

Source: vignettes/bcms/index.Rmd
index.Rmd

Overview

Unvalidated Experimental
Theory Implementation

This family follows the deformed-cylinder and coherence-corrected cylinder literature for weakly scattering elongated bodies (Stanton 1989, 1988).

The bent cylinder modal series solution (BCMS) extends the straight finite-cylinder modal family to uniformly bent cylinders by keeping the straight cross-sectional modal physics and modifying only the along-axis coherence.

Core idea

Start from the finite-cylinder modal backscatter of a straight cylinder, then replace the straight-axis coherent length by the curved equivalent coherent length derived for a uniformly bent axis.

Best for

  • Uniformly bent fluid-like cylinders near broadside
  • Curvature studies where the straight cylinder modal content remains the right local kernel
  • Problems where a full curved-body rederivation is unnecessary or unavailable

Supports

  • Bent Cylinder geometries represented through a curvature ratio
  • Monostatic near-broadside target strength
  • The same fluid boundary families carried by the straight-cylinder modal kernel

Main assumptions

  • Uniform curvature
  • Near-broadside incidence
  • Curvature modifies coherence along the axis but not the local cross-sectional modal physics

Validation status

  • BCMS is currently marked experimental because the documented checks are internal coherence reconstructions rather than an external benchmark or software-comparison ladder.

Family pages

  • Implementation: usage and current reference checks
  • Theory: bent-axis coherence integrals and relation to the straight-cylinder modal kernel

References

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.
———. 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.