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Acoustic integrated extinction.

Andrew N Norris1

  • 1Mechanical and Aerospace Engineering , Rutgers University , Piscataway, NJ 08854-8058, USA.

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Summary
This summary is machine-generated.

This study derives a new formula for acoustic integrated extinction (IE) applicable to both causal and non-causal scattering. This advances understanding of acoustic transparency and cloaking applications.

Keywords:
acousticsintegrated extinctionscattering

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Area of Science:

  • Acoustics
  • Wave scattering
  • Optics

Background:

  • Integrated extinction (IE) quantifies acoustic scattering.
  • Previous IE formulas were limited to causal scattering, based on electromagnetic principles.
  • Causality implies scattered waves arrive after incident waves.

Purpose of the Study:

  • Derive a general formula for acoustic integrated extinction (IE).
  • Develop an IE expression valid for both causal and non-causal scattering scenarios.
  • Propose a new metric for broadband acoustic transparency.

Main Methods:

  • Derived a general acoustic IE formula.
  • Expressed the result as an integral of the time-dependent forward scattering function.
  • Analyzed IE for scatterers with specific long-wavelength scattering amplitudes.

Main Results:

  • A novel IE formula applicable to causal and non-causal acoustic scattering was derived.
  • The formula simplifies for scatterers with zero long-wavelength monopole and dipole amplitudes.
  • The study discusses implications for acoustic cloaking.

Conclusions:

  • The new IE formula provides a more comprehensive understanding of acoustic scattering.
  • The proposed metric may enhance the design of broadband acoustic cloaking devices.
  • This work extends the applicability of IE beyond causal scattering phenomena.