Super-resolution for a point source using positive refraction

Juan C. Miñano; Pablo Benítez; Juan C. González; Dejan Grabovičkić; Hamed Ahmadpanahi

doi:10.1117/12.929706

15 October 2012 Super-resolution for a point source using positive refraction

Juan C. Miñano, Pablo Benítez, Juan C. González, Dejan Grabovičkić, Hamed Ahmadpanahi

Proceedings Volume 8455, Metamaterials: Fundamentals and Applications V; 84551K (2012) https://doi.org/10.1117/12.929706
Event: SPIE NanoScience + Engineering, 2012, San Diego, California, United States

Abstract

Leonhardt demonstrated (2009) that the 2D Maxwell Fish Eye lens (MFE) can focus perfectly 2D Helmholtz waves of arbitrary frequency, i.e., it can transport perfectly an outward (monopole) 2D Helmholtz wave field, generated by a point source, towards a receptor called “perfect drain” (PD) located at the corresponding MFE image point. The PD has the property of absorbing the complete radiation without radiation or scattering and it has been claimed as necessary to obtain super-resolution (SR) in the MFE. However, a prototype using a “drain” different from the PD has shown λ/5 resolution for microwave frequencies (Ma et al, 2010). Recently, the SR properties of a device equivalent to the MFE, called the Spherical Geodesic Waveguide (SGW) (Miñano et al, 2012) have been analyzed. The reported results show resolution up to λ /3000, for the SGW loaded with the perfect drain, and up to λ /500 for the SGW without perfect drain. The perfect drain was realized as a coaxial probe loaded with properly calculated impedance. The SGW provides SR only in a narrow band of frequencies close to the resonance Schumann frequencies. Here we analyze the SGW loaded with a small “perfect drain region” (González et al, 2011). This drain is designed as a region made of a material with complex permittivity. The comparative results show that there is no significant difference in the SR properties for both perfect drain designs.

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Juan C. Miñano, Pablo Benítez, Juan C. González, Dejan Grabovičkić, and Hamed Ahmadpanahi "Super-resolution for a point source using positive refraction", Proc. SPIE 8455, Metamaterials: Fundamentals and Applications V, 84551K (15 October 2012); https://doi.org/10.1117/12.929706

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KEYWORDS

Super resolution

Spherical lenses

Waveguides

Refractive index

Diffraction

Eye

Refraction

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