Transmission function properties for multi-layered structures: Application to super-resolution

Abstract

We discuss the properties of the transmission function in the k-space for a generic multi-layered structure. In particular we analytically demonstrate that a transmission greater than one in the evanescent spectrum (amplification of the evanescent modes) can be directly linked to the guided modes supported by the structure. Moreover we show that the slope of the phase of the transmission function in the propagating spectrum is inversely proportional to the ability of the structure to compensate the diffraction of the propagating modes. We apply these findings to discuss several examples where super-resolution is achieved thanks to the simultaneous availability of the amplification of the evanescent modes and the diffraction compensation of the propagating modes.

References in corpus (5)

• Tailoring Metallodielectric Structures for Super Resolution and Superguiding Applications in the Visible and Near IR Ranges
• Optical Vortices during a Super-Resolution Process in a Metamaterial
• Energy considerations for a superlens based on metal/dielectric multilayers
• Reflectionless evanescent-wave amplification by two dielectric planar waveguides
• Influence of the losses on the super-resolution performances of an impedance matched negative index material

Cited by in corpus (5)

• Sub-wavelength diffraction-free imaging with low-loss metal-dielectric multilayers
• Multiscale analysis of subwavelength imaging with metal-dielectric multilayers
• Two-dimensional point spread matrix of layered metal-dielectric imaging elements
• Ultimate resolution of indefinite metamaterial flat lenses
• Engineering the point spread function of layered metamaterials