Skip to contents

PCDWBA

Source: vignettes/pcdwba/index.Rmd
index.Rmd

Overview

Validated Experimental
Theory Implementation

These pages follow the phase-compensated weak-scattering literature for broadside elongated bodies and krill-style applications (Chu and Ye 1999; Chu, Foote, and Stanton 1993).

The phase-compensated distorted wave Born approximation (PCDWBA) is the curved-body extension of the weak-scattering DWBA. It keeps the same local fluid-like cylindrical kernel but corrects the along-body phase accumulation for a bent centerline.

Core idea

Write the weak-scattering backscatter as a sum over local cross-sections along a bent body, and retain the position- and tilt-dependent phase that would be lost by treating the target as straight.

Best for

  • Weakly scattering elongated targets with meaningful curvature
  • Bent zooplankton-like bodies parameterized by a centerline and local radius profile
  • Curved-body problems where a straight DWBA is too restrictive

Supports

  • Canonical bent cylinders and arbitrary fluid-like centerline profiles
  • Weak-contrast notation relative to seawater as g_{21} and h_{21}
  • Monostatic and phase-sensitive curved-body backscatter calculations

Main assumptions

  • Born-type weak-scattering regime
  • Curvature modifies phase bookkeeping but not the local weak-fluid kernel
  • Single scattering from an elongated fluid-like target

Validation status

  • Validated against source-level ZooScatR and echopop PCDWBA workflows.
  • PCDWBA is currently marked experimental because the public package workflow is still being tightened even though the current source- level comparison cases are documented.

Family pages

  • Implementation: object workflow and comparison results
  • Theory: bent-centerline parameterization and phase-compensated weak-scattering sum

References

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.