Extreme super-resolution using the spherical geodesic waveguide

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 "perfect point drain" located at the corresponding image point. Moreover, a prototype with λ/5 superresolution (SR) property for one microwave frequency has been manufactured and tested (Ma et al, 2010). Although this prototype has been loaded with an impedance different from the "perfect point drain", it has shown super-resolution property. However, neither software simulations nor experimental measurements for a broad band of frequencies have yet been reported. Here we present steady state simulations for two cases, using perfect drain as suggested by Leonhardt and without perfect drain as in the prototype. All the simulations have been done using a device equivalent to the MFE, called the Spherical Geodesic Waveguide (SGW). The results show the super-resolution up to λ/3000, for the system loaded with the perfect drain, and up to λ/500 for a not perfect load. In both cases super-resolution only happens for discrete number of frequencies. Out of these frequencies, the SGW does not show super-resolution in the analysis carried out.

Super-high-frequency SAW resonators on AlN/Diamond

This letter describes the procedure to manufacture high-performance surface acoustic wave (SAW) resonators on AlN/diamond heterostructures working at frequencies beyond 10 GHz. In the design of SAW devices on AlN/diamond systems, the thickness of the piezoelectric layer is a key parameter. The influence of the film thickness on the SAW device response has been studied. Optimized thin films combined with advanced e-beam lithographic techniques have allowed the fabrication of one-port SAW resonators with finger width and pitch of 200 nm operating in the 10–14 GHz range with up to 36 dB out-of-band rejection.

Summa uniuersae theologiae, siue quaestiones super quattuor libros sententiarum Pars tertia

Tít. tomado de Craviotto, I, 250

Summa universae theologiae sive quaestiones super quattuor libros Sententiarum quarta p[ar]te

Craviotto, I, 248

Opuscula (Tractatus contra Iudaeos. Expositio canticorumferialium. Expositio cantici"Te Deum Laudamus". Expositio super cantica evangelica)

Contiene: Primo tractatus contra iudeos ; Scdo expositio câtico[] ferialium ; Tercio expositiô câtici augustini. Te Deum laudamus.Qurto expositio sup cantica evangelica scilicet sup magnificat...

On super free fall.

Villermaux & Pomeau (J. Fluid Mech., vol. 642, 2010, p. 147) analysed the motion of the interface of an inviscid liquid column released from rest in a vertical tube whose area expands gradually downwards, with application to an inverted conical container for which experimental measurements were carried out. An error in the analysis is found and corrected in the present investigation, which provides the new governing equation for the super-accelerated interface motion down gradually varying tubes in general, and integrated results for interface trajectories, velocities and accelerations down a conical tube in particular. Interestingly, the error does not affect any of the conclusions given in the 2010 paper. Further new results are reported here such as the equation governing the centre of mass and proof that the end point acceleration is exactly that of gravity

Experimental evidence for super-resolution in the spherical geodesic waveguide

The previous publications (Miñano et al, 2011 and Gonzalez et al, 2012) have shown that using a Spherical Geodesic Waveguide (SGW) it can be achieved the super-resolution up to λ/3000, which is far below the classic Abbe diffraction limit, close to a set of discrete microwave frequencies. The SGW was designed and simulated in COMSOL as a thin geodesic waveguide bounded by an ideal and lossless metal. Herein we present the experimental results for a manufactured SGW, slightly modified due to fabrication requirements, showing the super-resolution up to λ/105.

Quarta pars abulensis Super Mattheum a duodecimo usqz ad decimumseptimum capitulum inclusive

Autor tomado de la h. 2

Tertia pars Abulensis super Mattheum a sexto usqz ad undecimû capitulum inclusive

Hay un ejemplar encuadernado con: Quarta pars abulensis Super Mattheum a duodecimo usqz ad decimumseptimum capitulum inclusive (XVI/198).

Et quia lites quotidiè exoriebantur inter rectorem, clerum & Parochiam Sancti Martini & Hospitale Generale, suosque vicarium, & Capellanos, super juribus funeralibus commensalium & servitorum in eo decedentium & funerandorum in Ecclesia vel Coemeterio ejusdem Hospitalis ...

Texto fechado en Valencia, 25 de septiembre 1741

Declaratio S.D.N. Pii Papae V super derogatione Concilij Tridentini

Inicial grab. xil

Motus proprius S.D.N. Pii Papae V : in quo confirmantur constitutiones diuersoru. Rom. Pont super annatis communibus & alijs iuribus ob vniones beneficiorum soluendis...

Inicial grab. xil

Bulla S.D.N. Sixti Papae Quinti super erectione montis pacis nuncupati non vacabilis

En el verso de A3 grab. xil