تقرير
Direct imaging methods for reconstructing a locally rough interface from phaseless total-field data or phased far-field data
| العنوان: | Direct imaging methods for reconstructing a locally rough interface from phaseless total-field data or phased far-field data |
|---|---|
| المؤلفون: | Li, Long, Yang, Jiansheng, Zhang, Bo, Zhang, Haiwen |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | This paper is concerned with the problem of inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in 2D. A direct imaging method is proposed to reconstruct the locally rough interface from the phaseless total-field data measured on the upper half of the circle with a large radius at a fixed frequency or from the phased far-field data measured on the upper half of the unit circle at a fixed frequency. The presence of the locally rough interface poses challenges in the theoretical analysis of the imaging methods. To address these challenges, a technically involved asymptotic analysis is provided for the relevant oscillatory integrals involved in the imaging methods, based mainly on the techniques and results in our recent work [L. Li, J. Yang, B. Zhang and H. Zhang, arXiv:2208.00456] on the uniform far-field asymptotics of the scattered field for acoustic scattering in a two-layered medium. Finally, extensive numerical experiments are conducted to demonstrate the feasibility and robustness of our imaging algorithms. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.05941 |
| رقم الأكسشن: | edsarx.2305.05941 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |