Diameter-bandwidth product limitation of isolated-object cloaking
We show that cloaking of isolated objects using transformation-based cloaks is subject to a diameter-bandwidth product limitation: as the size of the object increases, the bandwidth of good (small-cross-section) cloaking decreases inversely with the diameter, as a consequence of causality constraint...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/72491 https://orcid.org/0000-0002-7244-3682 |
| _version_ | 1811071244949258240 |
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| author | Joannopoulos, John D. McCauley, Alexander Patrick Hashemi, Hila Johnson, Steven G. Qui, Cheng-Wei |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Joannopoulos, John D. McCauley, Alexander Patrick Hashemi, Hila Johnson, Steven G. Qui, Cheng-Wei |
| author_sort | Joannopoulos, John D. |
| collection | MIT |
| description | We show that cloaking of isolated objects using transformation-based cloaks is subject to a diameter-bandwidth product limitation: as the size of the object increases, the bandwidth of good (small-cross-section) cloaking decreases inversely with the diameter, as a consequence of causality constraints even for perfect fabrication and materials with negligible absorption. This generalizes a previous result that perfect cloaking of isolated objects over a nonzero bandwidth violates causality. Furthermore, we demonstrate broader causality-based scaling limitations on any bandwidth-averaged cloaking cross section, using complex analysis and the optical theorem to transform the frequency-averaged problem into a single-scattering problem with transformed materials. |
| first_indexed | 2024-09-23T08:48:12Z |
| format | Article |
| id | mit-1721.1/72491 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:48:12Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/724912022-09-23T14:38:02Z Diameter-bandwidth product limitation of isolated-object cloaking Joannopoulos, John D. McCauley, Alexander Patrick Hashemi, Hila Johnson, Steven G. Qui, Cheng-Wei Massachusetts Institute of Technology. Department of Physics Johnson, Steven G. Joannopoulos, John D. McCauley, Alexander Patrick We show that cloaking of isolated objects using transformation-based cloaks is subject to a diameter-bandwidth product limitation: as the size of the object increases, the bandwidth of good (small-cross-section) cloaking decreases inversely with the diameter, as a consequence of causality constraints even for perfect fabrication and materials with negligible absorption. This generalizes a previous result that perfect cloaking of isolated objects over a nonzero bandwidth violates causality. Furthermore, we demonstrate broader causality-based scaling limitations on any bandwidth-averaged cloaking cross section, using complex analysis and the optical theorem to transform the frequency-averaged problem into a single-scattering problem with transformed materials. United States. Army Research Office. Institute for Soldier Nanotechnologies (contract no. W911NF-07-D-0004) United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (grant no. FA9550-09-1-0704) 2012-08-31T14:55:10Z 2012-08-31T14:55:10Z 2012-07 2012-03 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/72491 Hashemi, Hila et al. “Diameter-bandwidth Product Limitation of Isolated-object Cloaking.” Physical Review A 86.1 (2012): 013804. © 2012 American Physical Society. https://orcid.org/0000-0002-7244-3682 en_US http://dx.doi.org/10.1103/PhysRevA.86.013804 Physical Review A 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 |
| spellingShingle | Joannopoulos, John D. McCauley, Alexander Patrick Hashemi, Hila Johnson, Steven G. Qui, Cheng-Wei Diameter-bandwidth product limitation of isolated-object cloaking |
| title | Diameter-bandwidth product limitation of isolated-object cloaking |
| title_full | Diameter-bandwidth product limitation of isolated-object cloaking |
| title_fullStr | Diameter-bandwidth product limitation of isolated-object cloaking |
| title_full_unstemmed | Diameter-bandwidth product limitation of isolated-object cloaking |
| title_short | Diameter-bandwidth product limitation of isolated-object cloaking |
| title_sort | diameter bandwidth product limitation of isolated object cloaking |
| url | http://hdl.handle.net/1721.1/72491 https://orcid.org/0000-0002-7244-3682 |
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