Fourier optics approach to imaging with sub-wavelength resolution through metal-dielectric multilayers

Metal-dielectric layered stacks for imaging with sub-wavelength resolution are regarded as linear isoplanatic systems — a concept popular in Fourier optics and in scalar diffraction theory. In this context, a layered flat lens is a one-dimensional spatial filter characterised by the point spread function. However, depending on the model of the source, the definition of the point spread function for multilayers with sub-wavelength resolution may be formulated in several ways. Here, a distinction is made between a soft source and hard electric or magnetic sources. Each of these definitions leads to a different meaning of perfect imaging. It is shown that some simple interpretations of the PSF, such as the relation of its width to the resolution of the imaging system are ambiguous for the multilayers with sub-wavelenth resolution. These differences must be observed in point spread function engineering of layered systems with sub-wavelength sized PSF.

[1]  Tomasz Stefaniuk,et al.  Comparison of imaging with sub-wavelength resolution in the canalization and resonant tunnelling regimes , 2009 .

[2]  Costantino De Angelis,et al.  Subwavelength diffraction management. , 2008, Optics letters.

[3]  Yang Hao,et al.  Subwavelength imaging at optical frequencies using a transmission device formed by a periodic layered metal-dielectric structure operating in the canalization regime , 2006 .

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

[5]  Richard J. Blaikie,et al.  Experimental comparison of resolution and pattern fidelity in single- and double-layer planar lens lithography , 2006 .

[6]  Marilyn Bohl,et al.  Information processing , 1971 .

[7]  M. Centini,et al.  Tailoring metallodielectric structures for superresolution and superguiding applications in the visi , 2008, 0801.0749.

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

[9]  Costas M. Soukoulis,et al.  Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials , 2008 .

[10]  Shi-Lin Zhu,et al.  Refraction in the fixed direction at the surface of dielectric/silver superlattice , 2006 .

[11]  M. Vincenti,et al.  Semiconductor-based superlens for subwavelength resolution below the diffraction limit at extreme ultraviolet frequencies , 2008, 0811.2968.

[12]  Philip J Bones,et al.  Image fidelity for single-layer and multi-layer silver superlenses. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Pekka Ikonen,et al.  Canalization of subwavelength images by electromagnetic crystals , 2005 .

[14]  R. W. Christy,et al.  Optical Constants of the Noble Metals , 1972 .

[15]  John B. Pendry,et al.  Removal of absorption and increase in resolution in a near-field lens via optical gain , 2003 .

[16]  R. Kotyński,et al.  Sub-wavelength diffraction-free imaging with low-loss metal-dielectric multilayers , 2010, 1002.0658.

[17]  F. Zhuang,et al.  Multilayered structures with high subwavelength resolution based on the metal-dielectric composites. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[18]  N. Fang,et al.  Sub–Diffraction-Limited Optical Imaging with a Silver Superlens , 2005, Science.

[19]  Karol Król,et al.  Analysis of two-dimensional polarisation-coupled impulse response in multilayered metallic flat lens , 2008, SPIE Photonics Europe.

[20]  E. Palik.  Handbook of Optical Constants of Solids , 1997 .

[21]  B. Culshaw,et al.  Fundamentals of Photonics , 2012 .

[22]  Masaya Notomi,et al.  Self-collimating phenomena in photonic crystals , 1999 .

[23]  Anup Lal Shah,et al.  Thermally induced birefringence in Nd glass heat capacity disk laser. , 2010, Applied optics.

[24]  Sailing He,et al.  Subwavelength focusing with a multilayered Fabry-Perot structure at optical frequencies , 2007 .

[25]  Tomasz Stefaniuk,et al.  Multiscale analysis of subwavelength imaging with metal-dielectric multilayers. , 2009, Optics letters.

[26]  C Sibilia,et al.  Transmission function properties for multi-layered structures: application to super-resolution. , 2009, Optics express.

[27]  D. Schurig,et al.  The asymmetric lossy near-perfect lens , 2002 .

[28]  D. Tsai,et al.  Directed subwavelength imaging using a layered metal-dielectric system , 2006, physics/0608170.

[29]  Michael Scalora,et al.  Negative refraction and subwavelength imaging using transparent metal-dielectric stacks , 2006 .

[30]  R. Blaikie,et al.  Super-resolution imaging through a planar silver layer. , 2005, Optics express.

[31]  Richard J Blaikie,et al.  An improved transfer-matrix model for optical superlenses. , 2009, Optics express.

[32]  Tomasz Szoplik,et al.  Focusing radially polarized light by a concentrically corrugated silver film without a hole. , 2009, Physical review letters.