Postilla / Guillermi super Epistolas et euangelia, de tempore, de sanctis [et] pro defu[n]ctis.

Índice

Pauli Soncinatis epitomes quaestionum Ioanis Capreoli, super libros sententiarum : pars prior complectens libr. I [et] II [-pars altera, complectens librum tertium, [et] quartum] / per F. Isidorum de Isolanis Mediolanen sem edita multis in locis suppleta

Nunc demum in hac postrema editione accuratissime recognita [et] emendatius quam antea excusa

Pauli Soncinatis epitomes quaestionum Ioanis Capreoli, super libros sententiarum : pars prior complectens libr. I [et] II [-pars altera, complectens librum tertium, [et] quartum] / per F. Isidorum de Isolanis Mediolanen sem edita multis in locis suppleta

Nunc demum in hac postrema editione accuratissime recognita [et] emendatius quam antea excusa

Apparatus preclarissimi iuris canonici illuminatoris d. Innocentij pape iiij super v. li. decre. [et] super decretalibus p[er] eunde[m] d. Inn. editis ... : vna cum summarijs per D.L. Paulu[m] Rhosellu[m] additis : ... vita[m] etia[m] ipsius Innocentij pe

Pie de imp. tomado del colofón en D10v y F6r

Quinta pars huius operis co[n]tine[n]s postillam / d[omi]ni Hugonis Cardinalis super quattuor eua[n]gelia s[e]c[un]d[u]m Mattheu[m], Marcum, Lucam, Iohannem.

Sign.: a8, b6, c8, d6, e8, f6, g8, h6, i8, k6, l8, m6, n8, o6, p8, q6, r8, s6, t8, u6, x8, y6, z8, A6, B8, C6, D8, E6, F8, G6, H8, I6, K8, L6, M8, N6, O8, P6, Q8, R6, S8, T6, U8, X6, Y8, Z6, 2A8, 2B6, 2C8, 2D-2F6

Eximij profundissimiq[ue] sacrorum eloquiorum perscrutatoris ac futurorum prenu[n]ciatoris Abbatis Ioachi[m] Florensis scriptu[m] super Hieremiam prophetam ... / Reuisum ac correctum quotationibusq[ue] in marginibus ornatum.

Pie de imp. tomado del colofón

Analysis of Super Imaging Properties of Spherical Geodesic Waveguide Using COMSOL Multyphisics

Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit using materials of negative dielectric and magnetic constants. Recently, two devices with positive refraction, the Maxwell Fish Eye lens (MFE) (Leonhardt et al 2000) and the Spherical Geodesic Waveguide (SGW)(Minano et all 2011) have been claimed to break the diffraction limit using positive refraction with a different meaning. In these cases, it has been considered the power transmission from a point source to a point receptor, which falls drastically when the receptor is displaced from the focus by a distance much smaller than the wavelength. Moreover, recent analysis of the SGW with defined object and image surfaces, which are both conical sections of the sphere, has shown that the system transmits images bellow diffraction limit. The key assumption is the use of a perfectly absorbing receptor called perfect drain. This receptor is capable to absorb all the radiation without reflection or scattering. Here, it is presented the COMSOL analysis of the SGW using a perfect drain that absorbs perfectly two modes. The design procedure for PD capable to absorb k modes is proposed, as well.

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.

COMSOL Multyphisics Super Resolution Analysis of a Spherical Geodesic Waveguide Suitable for Manufacturing

Recently it has been proved theoretically (Miñano et al, 2011) that the super-resolution up to ?/500 can be achieved using an ideal metallic Spherical Geodesic Waveguide (SGW). This SGW is a theoretical design, in which the conductive walls are considered to be lossless conductors with zero thickness. In this paper, we study some key parameters that might influence the super resolution properties reported in (Miñano et al, 2011), such as losses, metal type, the thickness of conductive walls and the deformation from perfect sphere. We implement a realistic SGW in COMSOL multiphysics and analyze its super-resolution properties. The realistic model is designed in accordance with the manufacturing requirements and technological limitations.