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PreprintarXiv licencearXiv

Acoustic scattering from quantum dynamics

  • Farhang Loran
  • Ali Mostafazadeh
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Abstract

Scattering of sound waves propagating in a compressible fluid is linked to the quantum dynamics generated by a class of non-Hermitian Hamiltonian operators. The scattering amplitude is expressed in terms of the corresponding evolution operator. This is used to provide a new proof of the reciprocity theorem in acoustic scattering, conduct analytic low-frequency acoustic scattering calculations, and study the scattering of sound waves by a finite planar array of delta-function point scatters embedded in an infinite acoustic slab. A detailed discussion of acoustic scattering properties of a homogeneous acoustic slab including a pair of delta-function point scatters on one of its faces is provided.

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Cite

BibTeXRIS
BibTeX
@misc{loran2026acoustic,
  title = {{Acoustic scattering from quantum dynamics}},
  author = {Farhang Loran and Ali Mostafazadeh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19873},
  eprint = {2610.19873},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19873},
}
RIS
TY  - UNPB
TI  - Acoustic scattering from quantum dynamics
AU  - Farhang Loran
AU  - Ali Mostafazadeh
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.19873
UR  - https://arxiv.org/abs/2610.19873
AB  - Scattering of sound waves propagating in a compressible fluid is linked to the quantum dynamics generated by a class of non-Hermitian Hamiltonian operators. The scattering amplitude is expressed in terms of the corresponding evolution operator. This is used to provide a new proof of the reciprocity theorem in acoustic scattering, conduct analytic low-frequency acoustic scattering calculations, and study the scattering of sound waves by a finite planar array of delta-function point scatters embedded in an infinite acoustic slab. A detailed discussion of acoustic scattering properties of a homogeneous acoustic slab including a pair of delta-function point scatters on one of its faces is provided.
ER  -