Super-resolution in high contrast media

Abstract

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.

References in corpus (2)

• Resonant Metalenses for Breaking the Diffraction Barrier
• A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators

Cited by in corpus (15)

• Functional analytic methods for discrete approximations of subwavelength resonator systems
• Sub-wavelength focusing of acoustic waves in bubbly media
• Inverse Electromagnetic Diffraction by Biperiodic Dielectric Gratings
• Minnaert resonances for acoustic waves in bubbly media
• Stability and error analysis for the Helmholtz equation with variable coefficients
• Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
• A mathematical and numerical framework for near-field optics
• Double-negative acoustic metamaterials
• Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency
• A mathematical theory of computational resolution limit in one dimension
• Mathematical analysis of plasmonic nanoparticles: the scalar case
• Optimal Mesh Size for Inverse Medium Scattering Problems
• High-order exceptional points and enhanced sensing in subwavelength resonator arrays
• Scattering by a periodic array of subwavelength slits I: field enhancement in the diffraction regime
• Subwavelength phononic bandgap opening in bubbly media