A Unified Approach to Nonlinear Transformation Materials

The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational fields from general relativity. However, the technique is curren...

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Autores principales: Sklan, Sophia R., Li, Baowen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5849733/
https://www.ncbi.nlm.nih.gov/pubmed/29535315
http://dx.doi.org/10.1038/s41598-018-22215-x
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author Sklan, Sophia R.
Li, Baowen
author_facet Sklan, Sophia R.
Li, Baowen
author_sort Sklan, Sophia R.
collection PubMed
description The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational fields from general relativity. However, the technique is currently constrained to linear devices, as a consistent approach to nonlinearity (including both the case of a nonlinear background medium and a nonlinear transformation) remains an open question. Here we show that nonlinearity can be incorporated into transformation optics in a consistent way. We use this to illustrate a number of novel effects, including cloaking an optical soliton, modeling nonlinear solutions to Einstein’s field equations, controlling transport in a Debye solid, and developing a set of constitutive to relations for relativistic cloaks in arbitrary nonlinear backgrounds.
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spelling pubmed-58497332018-03-21 A Unified Approach to Nonlinear Transformation Materials Sklan, Sophia R. Li, Baowen Sci Rep Article The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational fields from general relativity. However, the technique is currently constrained to linear devices, as a consistent approach to nonlinearity (including both the case of a nonlinear background medium and a nonlinear transformation) remains an open question. Here we show that nonlinearity can be incorporated into transformation optics in a consistent way. We use this to illustrate a number of novel effects, including cloaking an optical soliton, modeling nonlinear solutions to Einstein’s field equations, controlling transport in a Debye solid, and developing a set of constitutive to relations for relativistic cloaks in arbitrary nonlinear backgrounds. Nature Publishing Group UK 2018-03-13 /pmc/articles/PMC5849733/ /pubmed/29535315 http://dx.doi.org/10.1038/s41598-018-22215-x Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Sklan, Sophia R.
Li, Baowen
A Unified Approach to Nonlinear Transformation Materials
title A Unified Approach to Nonlinear Transformation Materials
title_full A Unified Approach to Nonlinear Transformation Materials
title_fullStr A Unified Approach to Nonlinear Transformation Materials
title_full_unstemmed A Unified Approach to Nonlinear Transformation Materials
title_short A Unified Approach to Nonlinear Transformation Materials
title_sort unified approach to nonlinear transformation materials
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5849733/
https://www.ncbi.nlm.nih.gov/pubmed/29535315
http://dx.doi.org/10.1038/s41598-018-22215-x
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