Analytical Study of Sub-Wavelength Imaging by Uniaxial Epsilon-Near-Zero Metamaterial Slabs

We discuss the imaging properties of uniaxial epsilon-near-zero metamaterial slabs with possibly tilted optical axis, analyzing their sub-wavelength focusing properties as a function of the design parameters. We derive in closed analytical form the associated two-dimensional Green's function in terms of special cylindrical functions. For the near-field parameter ranges of interest, we are also able to derive a small-argument approximation in terms of simpler analytical functions. Our results, validated and calibrated against a full-wave reference solution, expand the analytical tools available for computationally-efficient and physically-incisive modeling and design of metamaterial-based sub-wavelength imaging systems.Comment: 25 pages, 9 figures (modifications in the text; two figures and several references added

Electrodynamics in Friedmann-Robertson-Walker Universe: Maxwell and Dirac fields in Newman-Penrose formalism

Maxwell and Dirac fields in Friedmann-Robertson-Walker spacetime is investigated using the Newman-Penrose method. The variables are all separable, with the angular dependence given by the spin-weighted spherical harmonics. All the radial parts reduce to the barrier penetration problem, with mostly repulsive potentials representing the centrifugal energies. Both the helicity states of the photon field see the same potential, but that of the Dirac field see different ones; one component even sees attractive potential in the open universe. The massless fields have the usual exponential time dependencies; that of the massive Dirac field is coupled to the evolution of the cosmic scale factor $a$. The case of the radiation filled flat universe is solved in terms of the Whittaker function. A formal series solution, valid in any FRW universe, is also presented. The energy density of the Maxwell field is explicitly shown to scale as $a^{-4}$. The co-moving particle number density of the massless Dirac field is found to be conserved, but that of the massive one is not. Particles flow out of certain regions, and into others, creating regions that are depleted of certain linear and angular momenta states, and others with excess. Such current of charged particles would constitute an electric current that could generate a cosmic magnetic field. In contrast, the energy density of these massive particles still scales as $a^{-4}$.Comment: 18 pages including 9 figure

Lp-cohomology of negatively curved manifolds

We compute the $L^p$-cohomology spaces of some negatively curved manifolds. We deal with two cases: manifolds with finite volume and sufficiently pinched negative curvature, and conformally compact manifolds

The implications of noninertial motion on covariant quantum spin

It is shown that the Pauli-Lubanski spin vector defined in terms of curvilinear co-ordinates does not satisfy Lorentz invariance for spin-1/2 particles in noninertial motion along a curved trajectory. The possibility of detecting this violation in muon decay experiments is explored, where the noninertial contribution to the decay rate becomes large for muon beams with large momenta and trajectories with radius of curvature approaching the muon's Compton wavelength scale. A new spacelike spin vector is derived from the Pauli-Lubanski vector that satisfies Lorentz invariance for both inertial and noninertial motion. In addition, this spin vector suggests a generalization for the classification of spin-1/2 particles, and has interesting properties that are applicable for both massive and massless particles.Comment: REVTeX file; 7 pages; 2 figures; slightly revised with new abstract; accepted for publication in Classical and Quantum Gravit

Mastite subclínica bovina: teores de proteína no leite após o tratamento durante a lactação.

Verificou-se os teores protéicos do leite em 135 quartos mamários com mastite subclínica causada por Staphylococcus aureus divididos em dois grupos, tratados (67) e não tratados (68). Utilizou-se para a tratamento a dose de 150 mg de gentamicina, uma vez ao dia e por três dias consecutivos, em uma propriedade com rebanho leiteiro experimental localizada na região de Barretos, interior do Estado de São Paulo. Foram considerados curados os quartos mamários cujas amostras de leite mostraram-se negativas ao isolamento das cepas de S. aureus 30 dias após o tratamento. Determinou-se as frações de proteína total (PT), proteína verdadeira (PV), caseína (CAS) e soroproteínas (SP), antes e depois do tratamento durante a lactação. As análises do extrato seco total (EST), da contagem de células somáticas (CCS) e da produção de leite também foram efetuadas. Após as análises dos dados, verificou-se que não houve diferença significativa para PT, PV e SP após o tratamento, enquanto a mesma diferença encontrada em quartos mamários doentes para CAS, antes e após o tratamento, também foi verificada para os quartos sadios que serviram de controle. Dessa maneira, concluiu-se que o tratamento da mastite subclínica causada por S. aureus durante a lactação não acarretou melhoria na qualidade do produto quando os itens analisados foram os teores protéicos do leite

Influência da mastite subclínica bovina sobre as frações protéicas do leite.

Avaliou-se a influência da mastite subclínica bovina causada por Staphylococcus aureus sobre as frações protéicas do leite pela comparação entre quartos mamários doentes e sadios. O estudo foi realizado em propriedade leiteira com rebanho experimental de vacas holandesas e o diagnóstico da mastite subclínica foi previamente realizado pelo ?California Mastitis Test? (CMT). Determinou-se as frações de proteína total, proteína verdadeira, caseína, soroproteínas, nitrogênio não protéico e nitrogênio não caséico, além da contagem de células somáticas (CCS) do leite dos quartos mamários. Os animais selecionados foram distribuídos em dois grupos de acordo com o estágio de lactação e classificados em Grupo ?1?, composto por animais em estágio inicial de lactação compreendido entre os dez dias e os dois meses após o parto, e Grupo ?2?, formado por animais em estágio de lactação compreendido entre o início do terceiro mês após o parto até o nono mês de lactação. A CCS dos quartos infectados dos animais pertencentes a ambos os grupos foi superior à encontrada para os quartos sadios (P < 0,0001). O conteúdo de soroproteínas e de nitrogênio não caséico no leite de quartos mamários com mastite subclínica por S. aureus foi significativamente superior em animais acima dos 60 dias em lactação, quando comparados com quartos mamários sem mastite

Effects of Space-Time Curvature on Spin-1/2 Particle Zitterbewegung

This paper investigates the properties of spin-1/2 particle Zitterbewegung in the presence of a general curved space-time background described in terms of Fermi normal co-ordinates, where the spatial part is expressed using general curvilinear co-ordinates. Adopting the approach first introduced by Barut and Bracken for Zitterbewegung in the local rest frame of the particle, it is shown that non-trivial gravitational contributions to the relative position and momentum operators appear due to the coupling of Zitterbewegung frequency terms with the Ricci curvature tensor in the Fermi frame, indicating a formal violation of the weak equivalence principle. Explicit expressions for these contributions are shown for the case of quasi-circular orbital motion of a spin-1/2 particle in a Vaidya background. Formal expressions also appear for the time-derivative of the Pauli-Lubanski vector due to space-time curvature effects coupled to the Zitterbewegung frequency. As well, the choice of curvilinear co-ordinates results in non-inertial contributions in the time evolution of the canonical momentum for the spin-1/2 particle, where Zitterbewegung effects lead to stability considerations for its propagation, based on the Floquet theory of differential equations.Comment: 22 pages, no figures; slight revisions; accepted for publication in Classical and Quantum Gravit