Near-field reconstruction of periodic structures with superimposed illumination
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913310356537344 |
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| author | Wang, Jue Wang, Yujie Zhang, Lei Zheng, Enxi |
| author_facet | Wang, Jue Wang, Yujie Zhang, Lei Zheng, Enxi |
| contents | This paper addresses the reconstruction of periodic structures using phase or phaseless near-field measurements. We introduce a novel illumination strategy based on the quasi-periodic condition. Employing the Dirichlet-to-Neumann (DtN) map, we reformulate the scattering problem into a uniquely solvable boundary value problem. Our theoretical analysis shows the advantages of employing a fixed wavenumber superposition illumination strategy and proves that a specific wavenumber interval and fixed direction uniquely determine the grating structure. Numerical results confirm the efficacy of this illumination strategy and reconstruction algorithm, enabling super-resolution imaging from both phase and phaseless near-field measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07763 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Near-field reconstruction of periodic structures with superimposed illumination Wang, Jue Wang, Yujie Zhang, Lei Zheng, Enxi Mathematical Physics Optics This paper addresses the reconstruction of periodic structures using phase or phaseless near-field measurements. We introduce a novel illumination strategy based on the quasi-periodic condition. Employing the Dirichlet-to-Neumann (DtN) map, we reformulate the scattering problem into a uniquely solvable boundary value problem. Our theoretical analysis shows the advantages of employing a fixed wavenumber superposition illumination strategy and proves that a specific wavenumber interval and fixed direction uniquely determine the grating structure. Numerical results confirm the efficacy of this illumination strategy and reconstruction algorithm, enabling super-resolution imaging from both phase and phaseless near-field measurements. |
| title | Near-field reconstruction of periodic structures with superimposed illumination |
| topic | Mathematical Physics Optics |
| url | https://arxiv.org/abs/2404.07763 |