Super-resolution for a point source using positive refraction

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 f 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.

Perfect imaging of point sources with positive refraction

The capability of a device called the Spherical Geodesic Waveguide (SGW) to produce images with details below the classic Abbe diffraction limit (super-resolution) is analyzed here. The SGW is an optical system equivalent (by means of Transformation Optics) to the Maxwell Fish Eye (MFE) refractive index distribution. Recently, it has been claimed that the necessary condition to get super-resolution in the MFE and the SGW is the use of a Perfect Point Drain (PPD). The PPD is a punctual receptor placed in the focal point that absorbs the incident wave, without reflection or scattering. A microwave circuit comprising three elements, the SGW, the source and the drain (two coaxial lines loaded with specific impedances) is designed and simulated in COMSOL. The super-resolution properties have been analyzed for different position of the source and drain and for two different load impedances: the PPD and the characteristic line impedance. The results show that in both cases super-resolution occurs only for discrete number of frequencies. Out of these frequencies, the SGW does not show SR in the analysis carried out.

Experimental evidence of super-resolution better than lambda/105 with positive refraction

Super-resolution (SR) systems surpassing the Abbe diffraction limit have been theoretically and experimentally demonstrated using a number of different approaches and technologies: using materials with a negative refractive index, utilizing optical super-oscillation, using a resonant metalens, etc. However, recently it has been proved theoretically that in the Maxwell fish-eye lens (MFE), a device made of positive refractive index materials, the same phenomenon takes place. Moreover, using a simpler device equivalent to the MFE called the spherical geodesic waveguide (SGW), an SR of up to λ/3000 was simulated in COMSOL. Until now, only one piece of experimental evidence of SR with positive refraction has been reported (up to λ/5) for an MFE prototype working at microwave frequencies. Here, experimental results are presented for an SGW prototype showing an SR of up to λ/105. The SGW prototype consists of two concentric metallic spheres with an air space in between and two coaxial ports acting as an emitter and a receiver. The prototype has been analyzed in the range 1 GHz to 1.3 GHz.

Embedded Linux integration using Linuxlink tool and peripheral driver development for Zedboard

This project is divided into two main parts: The first part shows the integration of an Embedded Linux operating system on a development hardware platform named Zedboard. This platform contains a Zynq-7000 System on Chip (Soc) which is composed by two dual core ARM Cortex-A9 processors and a FPGA Artix-7. The Embedded Linux is built with Linuxlink, a Timesys tool. Meanwhile, the platform hardware configuration is done with Xilinx Vivado. The system is loaded with an SD card which requires to have every files needed for the booting process and for the operation. Some of these files are generated with Xilinx SDK software. The second part starts up from the system already built to integrate a peripheral in the Zynq-7000 FPGA. Also the drivers for controlling the peripheral from the operating system are developed. Finally, a user space program is created to test both of them. RESUMEN. Este proyecto consta de dos partes: La primera muestra la integración de un sistema operativo Linux embebido en una plataforma de desarrollo hardware llamada Zedboard. Esta plataforma utiliza un System on Chip (SoC) Zynq-7000 que está formado por dos procesadores ARM Cortex-A9 de doble núcleo y una FPGA Artix-7. El Linux embebido se construye utilizando la herramienta Linuxlink de Timesys, mientras que el hardware de la plataforma de desarrollo se configura con Vivado de Xilinx. El sistema se carga en una tarjeta SD que debe tener todos los archivos necesarios para completar el arranque y hacer funcionar el sistema. Algunos de esos archivos se generan con la herramienta SDK de Xilinx. En la segunda parte se utiliza el sistema construido para integrar un periférico en la FPGA del Zynq-7000, haciendo uso de Vivado, y se desarrollan los drivers necesarios para utilizarlo mediante el sistema operativo. Para probar esta última parte se desarrolla un programa de espacio de usuario.