Hypergratings: far-field subwavelength focusing in planar metamaterials

We present a technique for subwavelength far-field focusing of light in planar non-resonant structures. The approach combines the diffraction gratings that generate high-wavevector waves and planar slabs of homogeneous anisotropic metamaterials that propagate these waves and combine them at the subwavelength focal spots. The technique has all the benefits of Fresnel lens, near-field zone plate, hyperlens, and superlens, and at the same time resolves their fundamental limitations. Several realizations of hypergratings for visible, near-IR, and mid-IR frequencies are proposed, and their performance is analyzed. Generalization of the developed approach for sub-diffractional imaging and on-chip photonics is suggested.

[1]  E. M. Lifshitz,et al.  Electrodynamics of continuous media , 1961 .

[2]  Vladimir M. Shalaev,et al.  Optical cloaking with metamaterials , 2006, physics/0611242.

[3]  S. Tretyakov,et al.  Strong spatial dispersion in wire media in the very large wavelength limit , 2002, cond-mat/0211204.

[4]  V. Podolskiy,et al.  Near-sighted superlens. , 2004, Optics letters.

[5]  U. Chettiar,et al.  Negative index of refraction in optical metamaterials. , 2005, Optics letters.

[6]  R. Merlin,et al.  Radiationless Electromagnetic Interference: Evanescent-Field Lenses and Perfect Focusing , 2007, Science.

[7]  Zubin Jacob,et al.  Optical hyperlens: far-field imaging beyond the diffraction limit , 2006, SPIE NanoScience + Engineering.

[8]  I. Smolyaninov,et al.  Magnifying Superlens in the Visible Frequency Range , 2006, Science.

[9]  Christopher C Davis,et al.  Resolution enhancement of a surface immersion microscope near the plasmon resonance. , 2005, Optics letters.

[10]  Leonid Alekseyev,et al.  Supplementary Information for “ Negative refraction in semiconductor metamaterials ” , 2007 .

[11]  Zhaowei Liu,et al.  Optical Negative Refraction in Bulk Metamaterials of Nanowires , 2008, Science.

[12]  S. Thongrattanasiri,et al.  Hypergratings: nanophotonics in planar anisotropic metamaterials. , 2008, Optics letters.

[13]  J. Goodman Introduction to Fourier optics , 1969 .

[14]  Viktor A. Podolskiy,et al.  Nonmagnetic nanocomposites for optical and infrared negative-refractive-index media , 2006 .

[15]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[16]  Alessandro Salandrino,et al.  Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations , 2006 .

[17]  David R. Smith,et al.  Full-wave simulations of electromagnetic cloaking structures. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  N. Engheta,et al.  Metamaterials: Physics and Engineering Explorations , 2006 .

[19]  Viktor A. Podolskiy,et al.  Nonlocal effects in effective medium response of nanolayered metamaterials , 2007, 2007 Quantum Electronics and Laser Science Conference.

[20]  Wayne Dickson,et al.  Restructuring and modification of metallic nanorod arrays using femtosecond laser direct writing , 2006 .

[21]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[22]  V. Podolskiy,et al.  Nanowire metamaterials with extreme optical anisotropy , 2006, physics/0604065.

[23]  Pavel A. Belov,et al.  Backward waves and negative refraction in uniaxial dielectrics with negative dielectric permittivity along the anisotropy axis , 2003 .

[24]  Zhaowei Liu,et al.  Far-Field Optical Hyperlens Magnifying Sub-Diffraction-Limited Objects , 2007, Science.

[25]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.

[26]  Anthony Grbic,et al.  Near-Field Plates: Subdiffraction Focusing with Patterned Surfaces , 2008, Science.