Acoustic Scattered Field Calculation for a Moving Source Using Time-Dependent Physical Optics
Abstract
We present a time-dependent physical optics (TDPO) formulation for computing the acoustic scattered field of a stationary object in response to a moving source in three-dimensional space. Due to the motion of the source, which may be fast, the conventional frequency-domain PO method is not employed. Instead, a time-domain variant that explicitly accounts for the motion is formulated. The study focuses on the near-field regime, where source motion induces a complex wave field beyond a simple Doppler effect. The proposed algorithm accommodates arbitrary source trajectories and arbitrary signal bandwidth, as well as high source velocities relative to the speed of sound. Near and beyond the shadow boundary, where PO is least accurate, the formulation is supplemented by a Fock correction of the surface field, extended here to a moving source with a harmonic signal. The method matches or exceeds the accuracy of finite element simulations at a computational cost lower by orders of magnitude.
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BibTeX
@misc{kor2026acoustic,
title = {{Acoustic Scattered Field Calculation for a Moving Source Using Time-Dependent Physical Optics}},
author = {Asaf Kor and Gal Ben Yelid and Amir Boag and Lea Beilkin-Sirota},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15823},
eprint = {2610.15823},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15823},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Acoustic Scattered Field Calculation for a Moving Source Using Time-Dependent Physical Optics
AU - Asaf Kor
AU - Gal Ben Yelid
AU - Amir Boag
AU - Lea Beilkin-Sirota
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15823
UR - https://arxiv.org/abs/2610.15823
AB - We present a time-dependent physical optics (TDPO) formulation for computing the acoustic scattered field of a stationary object in response to a moving source in three-dimensional space. Due to the motion of the source, which may be fast, the conventional frequency-domain PO method is not employed. Instead, a time-domain variant that explicitly accounts for the motion is formulated. The study focuses on the near-field regime, where source motion induces a complex wave field beyond a simple Doppler effect. The proposed algorithm accommodates arbitrary source trajectories and arbitrary signal bandwidth, as well as high source velocities relative to the speed of sound. Near and beyond the shadow boundary, where PO is least accurate, the formulation is supplemented by a Fock correction of the surface field, extended here to a moving source with a harmonic signal. The method matches or exceeds the accuracy of finite element simulations at a computational cost lower by orders of magnitude.
ER -