Unified treatment of exact and approximate scalar electromagnetic wave scattering
Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the beam propagation method, and direct solution of the Lippmann-Schwinger equation. However, analytical relationships between the three methods have not ye...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society (APS)
2023
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| Online Access: | https://hdl.handle.net/1721.1/150778 |
| _version_ | 1826208823627481088 |
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| author | Pang, Subeen Barbastathis, George |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Pang, Subeen Barbastathis, George |
| author_sort | Pang, Subeen |
| collection | MIT |
| description | Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the beam propagation method, and direct solution of the Lippmann-Schwinger equation. However, analytical relationships between the three methods have not yet, to our knowledge, been explicitly stated. Here, we bridge this gap in the literature. In addition to overall insight about aspects of optical scattering that are best numerically captured by each method, our approach allows us to derive approximate error bounds to be expected under various scattering conditions. |
| first_indexed | 2024-09-23T14:12:53Z |
| format | Article |
| id | mit-1721.1/150778 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:12:53Z |
| publishDate | 2023 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1507782023-05-20T03:17:06Z Unified treatment of exact and approximate scalar electromagnetic wave scattering Pang, Subeen Barbastathis, George Massachusetts Institute of Technology. Department of Mechanical Engineering Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the beam propagation method, and direct solution of the Lippmann-Schwinger equation. However, analytical relationships between the three methods have not yet, to our knowledge, been explicitly stated. Here, we bridge this gap in the literature. In addition to overall insight about aspects of optical scattering that are best numerically captured by each method, our approach allows us to derive approximate error bounds to be expected under various scattering conditions. 2023-05-19T13:43:58Z 2023-05-19T13:43:58Z 2022 2023-05-19T13:41:28Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/150778 Pang, Subeen and Barbastathis, George. 2022. "Unified treatment of exact and approximate scalar electromagnetic wave scattering." Physical Review E, 106 (4). en 10.1103/PHYSREVE.106.045301 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
| spellingShingle | Pang, Subeen Barbastathis, George Unified treatment of exact and approximate scalar electromagnetic wave scattering |
| title | Unified treatment of exact and approximate scalar electromagnetic wave scattering |
| title_full | Unified treatment of exact and approximate scalar electromagnetic wave scattering |
| title_fullStr | Unified treatment of exact and approximate scalar electromagnetic wave scattering |
| title_full_unstemmed | Unified treatment of exact and approximate scalar electromagnetic wave scattering |
| title_short | Unified treatment of exact and approximate scalar electromagnetic wave scattering |
| title_sort | unified treatment of exact and approximate scalar electromagnetic wave scattering |
| url | https://hdl.handle.net/1721.1/150778 |
| work_keys_str_mv | AT pangsubeen unifiedtreatmentofexactandapproximatescalarelectromagneticwavescattering AT barbastathisgeorge unifiedtreatmentofexactandapproximatescalarelectromagneticwavescattering |