Super-resolution experiments on Lamb waves using a single emitter

In this letter, we present super-resolution experiments from a single emission channel located in the far-field of an elastic metamaterial for Lamb waves. The experiment is performed in the kHz regime, with centimetric waves that are refocused numerically through cross-correlation computations. The originality of this approach lies in the direct link established between super-resolution results and the wavefield dispersion induced by a metamaterial made of long rods that are attached to a plate, and that behave as sub-wavelength resonators. We believe that such a clear origin of a far-field super-resolution experiment is of major interest for the design of a meta-lens for waves in plates.

[1]  G. Lerosey,et al.  Focusing Beyond the Diffraction Limit with Far-Field Time Reversal , 2007, Science.

[2]  Mathias Fink,et al.  Wave propagation control at the deep subwavelength scale in metamaterials , 2012, Nature Physics.

[3]  Jihong Wen,et al.  Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators , 2012 .

[4]  S. Benchabane,et al.  Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface , 2010 .

[5]  G. Lerosey,et al.  Resonant metalenses for breaking the diffraction barrier. , 2010, Physical review letters.

[6]  C M Soukoulis,et al.  Effective medium theory of left-handed materials. , 2004, Physical review letters.

[7]  Tsung-Tsong Wu,et al.  Experimental evidence of locally resonant sonic band gap in two-dimensional phononic stubbed plates , 2011 .

[8]  A. Modinos,et al.  Formation of absolute frequency gaps in three-dimensional solid phononic crystals , 2002 .

[10]  Zhou,et al.  Acoustic and electromagnetic quasimodes in dispersed random media. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[11]  Mathias Fink,et al.  Acoustic resonators for far-field control of sound on a subwavelength scale. , 2011, Physical review letters.

[12]  N. Fang,et al.  Ultrasonic metamaterials with negative modulus , 2006, Nature materials.

[13]  Philippe Roux,et al.  Experimental demonstration of ordered and disordered multiresonant metamaterials for lamb waves. , 2014, Physical review letters.

[14]  S. Catheline,et al.  A passive inverse filter for Green's function retrieval. , 2012, The Journal of the Acoustical Society of America.

[15]  M. Fink.  Time reversed acoustics , 1997 .

[16]  X. Wen,et al.  Flexural wave band gaps in locally resonant thin plates with periodically attached spring–mass resonators , 2012 .

[17]  John H. Page,et al.  Ultrasonic wave transport in a system of disordered resonant scatterers: Propagating resonant modes and hybridization gaps , 2011 .

[18]  M. Fink,et al.  One-Channel Time Reversal of Elastic Waves in a Chaotic 2D-Silicon Cavity , 1997 .

[19]  R. Sainidou,et al.  Simultaneous occurrence of structure-directed and particle-resonance-induced phononic gaps in colloidal films. , 2008, Physical review letters.

[20]  Mathias Fink,et al.  A polychromatic approach to far-field superlensing at visible wavelengths , 2012, Nature Communications.

[21]  J L Thomas,et al.  Optimal focusing by spatio-temporal inverse filter. I. Basic principles. , 2001, The Journal of the Acoustical Society of America.

[22]  P. Sheng,et al.  Locally resonant sonic materials , 2000, Science.