Super-resolution in high-contrast media

被引：31
作者：
Ammari, Habib [1 ]
Zhang, Hai [1 ]
机构：
[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2015年 / 471卷 / 2178期
关键词：
super-resolution; diffraction limit; resonant medium; high contrast; TIME-REVERSAL;
D O I：
10.1098/rspa.2014.0946
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A mathematical theory is developed to explain the super-resolution and super-focusing in high-contrast media. The approach is based on the resonance expansion of the Green function associated with the medium. It is shown that the super-resolution is due to sub-wavelength resonant modes excited in the medium which can propagate into the far-field.
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页数：11
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共 22 条
[11]   Super-Resolution from Noisy Data [J].
Candes, Emmanuel J. ;
Fernandez-Granda, Carlos .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2013, 19 (06) :1229-1254
[12]   Towards a Mathematical Theory of Super- resolution [J].
Candes, Emmanuel J. ;
Fernandez-Granda, Carlos .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2014, 67 (06) :906-956
[13]   An iterative thresholding algorithm for linear inverse problems with a sparsity constraint [J].
Daubechies, I ;
Defrise, M ;
De Mol, C .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (11) :1413-1457
[14]   Overcoming the diffraction limit in wave physics using a time-reversal mirror and a novel acoustic sink [J].
de Rosny, J ;
Fink, M .
PHYSICAL REVIEW LETTERS, 2002, 89 (12) :124301-124301
[15]   Fluorescent probes for super-resolution imaging in living cells [J].
Fernandez-Suarez, Marta ;
Ting, Alice Y. .
NATURE REVIEWS MOLECULAR CELL BIOLOGY, 2008, 9 (12) :929-943
[16]   Necessary and Sufficient Conditions for Linear Convergence of l1-Regularization [J].
Grasmair, Markus ;
Haltmeier, Markus ;
Scherzer, Otmar .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2011, 64 (02) :161-182
[17]   Calculated absorption and scattering properties of gold nanoparticles of different size, shape, and composition: Applications in biological imaging and biomedicine [J].
Jain, PK ;
Lee, KS ;
El-Sayed, IH ;
El-Sayed, MA .
JOURNAL OF PHYSICAL CHEMISTRY B, 2006, 110 (14) :7238-7248
[18]   Acoustic Resonators for Far-Field Control of Sound on a Subwavelength Scale [J].
Lemoult, Fabrice ;
Fink, Mathias ;
Lerosey, Geoffroy .
PHYSICAL REVIEW LETTERS, 2011, 107 (06)
[19]   Resonant Metalenses for Breaking the Diffraction Barrier [J].
Lemoult, Fabrice ;
Lerosey, Geoffroy ;
de Rosny, Julien ;
Fink, Mathias .
PHYSICAL REVIEW LETTERS, 2010, 104 (20)
[20]   Focusing beyond the diffraction limit with far-field time reversal [J].
Lerosey, Geoffroy ;
De Rosny, Julien ;
Tourin, Arnaud ;
Fink, Mathias .
SCIENCE, 2007, 315 (5815) :1120-1122
123