{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:37:22Z","timestamp":1760243842101,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2011,8,12]],"date-time":"2011-08-12T00:00:00Z","timestamp":1313107200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The Luneburg lens is a powerful imaging device, exhibiting aberration free focusing for parallel rays incident from any direction. However, its advantages are offset by a focal surface that is spherical and thus difficult to integrate with standard planar detector and emitter arrays. Using the recently developed technique of transformation optics, it is possible to transform the curved focal surface to a flat plane while maintaining the perfect focusing behavior of the Luneburg over a wide field of view. Here we apply these techniques to a lesser-known refractive Luneburg lens and implement the design with a metamaterial composed of a semi-crystalline distribution of holes drilled in a dielectric. In addition, we investigate the aberrations introduced by various approximations made in the implementation of the lens. The resulting design approach has improved mechanical strength with small aberrations and is ideally suited to implementation at infrared and visible wavelengths.<\/jats:p>","DOI":"10.3390\/s110807982","type":"journal-article","created":{"date-parts":[[2011,8,12]],"date-time":"2011-08-12T11:34:41Z","timestamp":1313148881000},"page":"7982-7991","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Broadband Wide Angle Lens Implemented with Dielectric Metamaterials"],"prefix":"10.3390","volume":"11","author":[{"given":"John","family":"Hunt","sequence":"first","affiliation":[{"name":"Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer, Engineering, Duke University, Durham, NC 27708, USA"}]},{"given":"Nathan","family":"Kundtz","sequence":"additional","affiliation":[{"name":"Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer, Engineering, Duke University, Durham, NC 27708, USA"}]},{"given":"Nathan","family":"Landy","sequence":"additional","affiliation":[{"name":"Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer, Engineering, Duke University, Durham, NC 27708, USA"}]},{"given":"Vinh","family":"Nguyen","sequence":"additional","affiliation":[{"name":"Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer, Engineering, Duke University, Durham, NC 27708, USA"}]},{"given":"Tim","family":"Perram","sequence":"additional","affiliation":[{"name":"SensorMetrix, San Diego, CA 92121, USA"}]},{"given":"Anthony","family":"Starr","sequence":"additional","affiliation":[{"name":"SensorMetrix, San Diego, CA 92121, USA"}]},{"given":"David R.","family":"Smith","sequence":"additional","affiliation":[{"name":"Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer, Engineering, Duke University, Durham, NC 27708, USA"}]}],"member":"1968","published-online":{"date-parts":[[2011,8,12]]},"reference":[{"key":"ref_1","unstructured":"Marchland, EW (1978). Gradient Index Optics, Academic Press."},{"key":"ref_2","unstructured":"Luneburg, R (1944). Mathematical Theory of Optics, Brown University."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1038\/nature07113","article-title":"A hemispherical electronic eye camera based on compressible silicon optoelectronics","volume":"454","author":"Ko","year":"2008","journal-title":"Nature"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1088\/1367-2630\/10\/11\/115034","article-title":"An aberration-free lens with zero F-number","volume":"10","author":"Schurig","year":"2008","journal-title":"New J. Phys"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1038\/nmat2610","article-title":"Extreme-angle broadband metamaterial lens","volume":"9","author":"Kundtz","year":"2009","journal-title":"Nat. Mater"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1780","DOI":"10.1126\/science.1125907","article-title":"Controlling electromagnetic fields","volume":"312","author":"Pendry","year":"2006","journal-title":"Science"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"21238","DOI":"10.1364\/OE.18.021238","article-title":"Enhancing imaging systems using transformation optics","volume":"18","author":"Smith","year":"2010","journal-title":"Opt. Express"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1103\/PhysRevLett.101.203901","article-title":"Hiding under the carpet: A new strategy for cloaking","volume":"101","author":"Li","year":"2008","journal-title":"Phys. Rev. Lett"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"14872","DOI":"10.1364\/OE.17.014872","article-title":"Guiding light with conformal transformations","volume":"17","author":"Landy","year":"2009","journal-title":"Opt. Express"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1103\/PhysRevLett.105.193902","article-title":"Designing three-dimensional transformation optical media using quasiconformal coordinate transformations","volume":"105","author":"Landy","year":"2010","journal-title":"Phys. Rev. Lett"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1038\/nmat2461","article-title":"An optical cloak made of dielectrics","volume":"8","author":"Valentine","year":"2009","journal-title":"Nat. Mater"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1038\/nphoton.2009.117","article-title":"Silicon nanostructure cloak operating at optical frequencies","volume":"3","author":"Gabriell","year":"2009","journal-title":"Nat. Photon"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1358","DOI":"10.1063\/1.1723441","article-title":"General solution of the Luneberg lens problem","volume":"29","author":"Morgan","year":"1958","journal-title":"J. Appl. Phys"},{"key":"ref_14","first-page":"1","article-title":"Waveguides with uniaxially patterned layers","volume":"6127","author":"Luryi","year":"2006","journal-title":"Proc. SPIE"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Grigoropoulos, N, and Young, P (2003, January 7\u20139). Low Cost Non Radiative Perforated Dielectric Waveguides. Munich, Germany.","DOI":"10.1109\/EUMA.2003.340984"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1049\/iet-map:20050203","article-title":"24 GHz automotive radar planar Luneburg lens","volume":"1","author":"Xue","year":"2007","journal-title":"IET Microw. Antennas Propag"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1063\/1.3460914","article-title":"Relaxation approach for the generation of inhomogeneous distributions of uniformly sized particles","volume":"97","author":"Hunt","year":"2010","journal-title":"Appl. Phys. Lett"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"8694","DOI":"10.1364\/OE.14.008694","article-title":"Spatial mapping of the internal and external electromagnetic fields of negative index metamaterials","volume":"14","author":"Justice","year":"2006","journal-title":"Opt. Express"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/11\/8\/7982\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:57:03Z","timestamp":1760219823000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/11\/8\/7982"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8,12]]},"references-count":18,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2011,8]]}},"alternative-id":["s110807982"],"URL":"https:\/\/doi.org\/10.3390\/s110807982","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2011,8,12]]}}}