Upper bounds on absorption and scattering
A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The optimized variable is a contrast current defined within a p...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2020-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab83d3 |
| _version_ | 1827872922432176128 |
|---|---|
| author | Mats Gustafsson Kurt Schab Lukas Jelinek Miloslav Capek |
| author_facet | Mats Gustafsson Kurt Schab Lukas Jelinek Miloslav Capek |
| author_sort | Mats Gustafsson |
| collection | DOAJ |
| description | A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The optimized variable is a contrast current defined within a prescribed region of a given material constitutive relations. Two power conservation constraints analogous to the optical theorem are utilized to tighten the bounds and to prescribe either losses or material properties. Thanks to the utilization of matrix rank-1 updates, modal decompositions, and model order reduction techniques, the optimization procedure is computationally efficient even for complicated scenarios. No dual gaps are observed. The method is well-suited to accommodate material anisotropy and inhomogeneity. To demonstrate the validity of the method, bounds on scattering, absorption, and extinction cross sections are derived first and evaluated for several canonical regions. The tightness of the bounds is verified by comparison to optimized spherical nanoparticles and shells. The next metric investigated is bi-directional scattering studied closely on a particular example of an electrically thin slab. Finally, the bounds are established for Purcell’s factor and local field enhancement where a dimer is used as a practical example. |
| first_indexed | 2024-03-12T16:30:22Z |
| format | Article |
| id | doaj.art-44cf87a6484d42b1b3dc888d2457e99c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:22Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-44cf87a6484d42b1b3dc888d2457e99c2023-08-08T15:29:56ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122707301310.1088/1367-2630/ab83d3Upper bounds on absorption and scatteringMats Gustafsson0https://orcid.org/0000-0003-4362-5716Kurt Schab1https://orcid.org/0000-0002-4228-9856Lukas Jelinek2https://orcid.org/0000-0002-1163-9059Miloslav Capek3https://orcid.org/0000-0002-7442-889XDepartment of Electrical and Information Technology, Lund University , Lund, SwedenDepartment of Electrical Engineering, Santa Clara University , Santa Clara, United States of AmericaDepartment of Electromagnetic Field, Czech Technical University in Prague , Prague, Czech RepublicDepartment of Electromagnetic Field, Czech Technical University in Prague , Prague, Czech RepublicA general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The optimized variable is a contrast current defined within a prescribed region of a given material constitutive relations. Two power conservation constraints analogous to the optical theorem are utilized to tighten the bounds and to prescribe either losses or material properties. Thanks to the utilization of matrix rank-1 updates, modal decompositions, and model order reduction techniques, the optimization procedure is computationally efficient even for complicated scenarios. No dual gaps are observed. The method is well-suited to accommodate material anisotropy and inhomogeneity. To demonstrate the validity of the method, bounds on scattering, absorption, and extinction cross sections are derived first and evaluated for several canonical regions. The tightness of the bounds is verified by comparison to optimized spherical nanoparticles and shells. The next metric investigated is bi-directional scattering studied closely on a particular example of an electrically thin slab. Finally, the bounds are established for Purcell’s factor and local field enhancement where a dimer is used as a practical example.https://doi.org/10.1088/1367-2630/ab83d3boundsscatteringfield enhancementabsorptionplasmonicsconvex optimization |
| spellingShingle | Mats Gustafsson Kurt Schab Lukas Jelinek Miloslav Capek Upper bounds on absorption and scattering New Journal of Physics bounds scattering field enhancement absorption plasmonics convex optimization |
| title | Upper bounds on absorption and scattering |
| title_full | Upper bounds on absorption and scattering |
| title_fullStr | Upper bounds on absorption and scattering |
| title_full_unstemmed | Upper bounds on absorption and scattering |
| title_short | Upper bounds on absorption and scattering |
| title_sort | upper bounds on absorption and scattering |
| topic | bounds scattering field enhancement absorption plasmonics convex optimization |
| url | https://doi.org/10.1088/1367-2630/ab83d3 |
| work_keys_str_mv | AT matsgustafsson upperboundsonabsorptionandscattering AT kurtschab upperboundsonabsorptionandscattering AT lukasjelinek upperboundsonabsorptionandscattering AT miloslavcapek upperboundsonabsorptionandscattering |