{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:10:33Z","timestamp":1760220633412,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2011,4,28]],"date-time":"2011-04-28T00:00:00Z","timestamp":1303948800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Micromachines"],"abstract":"<jats:p>Employing numerical simulations, we investigate the possibility of using curved guided-mode resonance (GMR) elements to focus light in reflection. We treat GMR reflectors with a parabolic shape and show that they are capable of focusing light effectively across wavelength bands that extend several hundred nanometers. The spatially infinite reflector model is simulated with a finite-element method, whereas the spatially finite reflector is treated with a finite-difference-time-domain method. The numerical results demonstrate that light intensity at the focal point is 8.6 dB stronger than the incident intensity when the GMR reflector\u2019s size is on the order of 10 wavelengths. The results indicate potential applicability of wideband-focusing devices in electromagnetics and photonics using compact resonance elements.<\/jats:p>","DOI":"10.3390\/mi2020150","type":"journal-article","created":{"date-parts":[[2011,4,28]],"date-time":"2011-04-28T10:20:20Z","timestamp":1303986020000},"page":"150-156","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Focusing Light with Curved Guided-Mode Resonance Reflectors"],"prefix":"10.3390","volume":"2","author":[{"given":"Mingyu","family":"Lu","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, University of Texas at Arlington, 416 Yates Street, Arlington, TX 76019, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huiqing","family":"Zhai","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Xidian University, Xi\u2019an, Shannxi 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Magnusson","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Texas at Arlington, 416 Yates Street, Arlington, TX 76019, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2011,4,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1109\/TAP.2009.2037711","article-title":"A novel beam squint compensation technique for circularly polarized conic-section reflector antennas","volume":"58","author":"Xu","year":"2010","journal-title":"IEEE Trans. Antenn. Propag."},{"key":"ref_2","unstructured":"Balanis, C.A. (2005). Antenna Theory: Analysis and Design, Wiley-Interscience. [3rd ed.]."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"221105","DOI":"10.1063\/1.2815914","article-title":"Light focusing via Rowland concave surface of photonic crystal","volume":"91","author":"Khoo","year":"2007","journal-title":"Appl. Phys. Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"70640E","DOI":"10.1117\/12.793522","article-title":"Fabrication and testing of a high-precision concave spherical mirror","volume":"7064","author":"Burke","year":"2008","journal-title":"Proc. SPIE"},{"key":"ref_5","unstructured":"Nishihara, H., Haruna, M., and Suhara, T. (1989). Optical Integrated Circuits, McGraw-Hill Book Company."},{"key":"ref_6","first-page":"345","article-title":"Corrugated dielectric waveguides: A numerical study of the second-order stop bands","volume":"20","author":"Vincent","year":"1979","journal-title":"Appl. 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SPIE"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3456","DOI":"10.1364\/OE.16.003456","article-title":"Physical basis for wideband resonant reflectors","volume":"16","author":"Magnusson","year":"2008","journal-title":"Opt. Express"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1038\/nphoton.2010.116","article-title":"Flat dielectric grating reflectors with focusing abilities","volume":"4","author":"Fattal","year":"2010","journal-title":"Nat. Photonics"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1109\/PROC.1985.13220","article-title":"Analysis and applications of optical diffraction by gratings","volume":"73","author":"Gaylord","year":"1985","journal-title":"Proc. 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