Trace formulation for photonic inverse design with incoherent sources
Abstract Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times to obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We pres...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2022
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| Online Access: | https://hdl.handle.net/1721.1/146555 |
| _version_ | 1811084245213380608 |
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| author | Yao, Wenjie Verdugo, Francesc Christiansen, Rasmus E. Johnson, Steven G. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Yao, Wenjie Verdugo, Francesc Christiansen, Rasmus E. Johnson, Steven G. |
| author_sort | Yao, Wenjie |
| collection | MIT |
| description | Abstract
Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times to obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We present a trace formulation of incoherent emission that can be efficiently combined with inverse design, even for topology optimization over thousands of design degrees of freedom. Our formulation includes previous reciprocity-based approaches, limited to a few output channels (e.g., normal emission), as special cases but generalizes to a continuum of emission directions by exploiting the low-rank structure of emission problems. We present several examples of incoherent-emission topology optimization, including tailoring the geometry of fluorescent particles, a periodically emitting surface, and a structure emitting into a waveguide mode, as well as discussing future applications to problems such as Raman sensing and cathodoluminescence. |
| first_indexed | 2024-09-23T12:47:33Z |
| format | Article |
| id | mit-1721.1/146555 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:47:33Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1465552023-06-30T18:57:56Z Trace formulation for photonic inverse design with incoherent sources Yao, Wenjie Verdugo, Francesc Christiansen, Rasmus E. Johnson, Steven G. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mathematics Abstract Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times to obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We present a trace formulation of incoherent emission that can be efficiently combined with inverse design, even for topology optimization over thousands of design degrees of freedom. Our formulation includes previous reciprocity-based approaches, limited to a few output channels (e.g., normal emission), as special cases but generalizes to a continuum of emission directions by exploiting the low-rank structure of emission problems. We present several examples of incoherent-emission topology optimization, including tailoring the geometry of fluorescent particles, a periodically emitting surface, and a structure emitting into a waveguide mode, as well as discussing future applications to problems such as Raman sensing and cathodoluminescence. 2022-11-21T13:53:23Z 2022-11-21T13:53:23Z 2022-11-15 2022-11-20T04:16:45Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/146555 Structural and Multidisciplinary Optimization. 2022 Nov 15;65(11):336 PUBLISHER_CC en https://doi.org/10.1007/s00158-022-03389-5 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Yao, Wenjie Verdugo, Francesc Christiansen, Rasmus E. Johnson, Steven G. Trace formulation for photonic inverse design with incoherent sources |
| title | Trace formulation for photonic inverse design with incoherent sources |
| title_full | Trace formulation for photonic inverse design with incoherent sources |
| title_fullStr | Trace formulation for photonic inverse design with incoherent sources |
| title_full_unstemmed | Trace formulation for photonic inverse design with incoherent sources |
| title_short | Trace formulation for photonic inverse design with incoherent sources |
| title_sort | trace formulation for photonic inverse design with incoherent sources |
| url | https://hdl.handle.net/1721.1/146555 |
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