Stokes parameters for light scattering from a Faraday-active sphere

We present an exact calculation for the scattering of light from a single sphere made of Faraday-active material, to first order in the external magnetic field. We use a recent expression for the T-matrix of a Mie scatterer in a magnetic field to compute the Stokes parameters in single scattering that describe completely flux and polarization of the scattered light.Comment: 17 pages, 5 figures, Latex, accepted for publication in JQSR

The measurement of surface gravity

LaCoste and Romberg G and D gravity meters are normally employed when attempting high precision measurement of gravity differences on land. The capabilities and limitations of these instruments are discussed

Spin torque driven dynamics of a coupled two layer structure: interplay between conservative and dissipative coupling

In this manuscript the general concepts of spin wave theory are adapted to the dynamics of a self-polarized system based on two layers coupled via interlayer exchange (conservative coupling) and mutual spin torque (dissipative coupling). An analytical description of the non-linear dynamics is proposed and validated through numerical simulations. In contrast to the single layer model, the phase equation of the coupled system has a contribution coming from the dissipative part of the LLGS equation. It is shown that this is a major contribution to the frequency mandatory to describe well the most basic features of the dynamics of coupled systems. Using the proposed model a specific feature of coupled dynamics is addressed: the redshift to blueshift transition observed in the frequency current dependence of this kind of exchange coupled systems upon increasing the applied field. It is found that the blueshift regime can only occur in a region of field where the two linear eigenmodes contribute equally to the steady state mode (i.e. high mode hybridization). Finally, a general perturbed Hamiltonian equation for the coupled system is proposed.Comment: 16 pages, 7 figue

Photonic Hall Effect in ferrofluids: Theory and Experiments

An experimental and theoretical study on the Photonic Hall Effect (PHE) in liquid and gelled samples of ferrofluids is presented. The ferrofluids are aqueous colloidal suspensions of Fe(_{2})CoO(_{4}) particles, which can be considered as anisotropic and absorbing Rayleigh scatterers. The PHE is found to be produced by the orientation of the magnetic moments of the particles, as is also the case for the Faraday effect. The dependence of the PHE with respect to the concentration of the scatterers, the magnetic field and the polarization of the incident light is measured in liquid and in gelled samples and is compared to a simple model based on the use of a scattering matrix and the single scattering approximation.Comment: 20 pages, 11 figures, submitte

Transport Mean Free Path for Magneto-Transverse Light Diffusion

We derive an expression for the transport mean free path $\ell^*_\perp$ associated with magneto-transverse light diffusion for a random collection of Faraday-active Mie scatterers. This expression relates the magneto-transverse diffusion in multiple scattering directly to the magneto-transverse scattering of a single scatterer.Comment: 5 pages, 1 figure, Latex, accepted for publication in Europhysics Letter

Fluctuations of a driven membrane in an electrolyte

We develop a model for a driven cell- or artificial membrane in an electrolyte. The system is kept far from equilibrium by the application of a DC electric field or by concentration gradients, which causes ions to flow through specific ion-conducting units (representing pumps, channels or natural pores). We consider the case of planar geometry and Debye-H\"{u}ckel regime, and obtain the membrane equation of motion within Stokes hydrodynamics. At steady state, the applied field causes an accumulation of charges close to the membrane, which, similarly to the equilibrium case, can be described with renormalized membrane tension and bending modulus. However, as opposed to the equilibrium situation, we find new terms in the membrane equation of motion, which arise specifically in the out-of-equilibrium case. We show that these terms lead in certain conditions to instabilities.Comment: 7 pages, 2 figures. submitted to Europhys. Let

Coherent Backscattering of light in a magnetic field

This paper describes how coherent backscattering is altered by an external magnetic field. In the theory presented, magneto-optical effects occur inside Mie scatterers embedded in a non-magnetic medium. Unlike previous theories based on point-like scatterers, the decrease of coherent backscattering is obtained in leading order of the magnetic field using rigorous Mie theory. This decrease is strongly enhanced in the proximity of resonances, which cause the path length of the wave inside a scatterer to be increased. Also presented is a novel analysis of the shape of the backscattering cone in a magnetic field.Comment: 27 pages, 5 figures, Revtex, to appear in Phys. Rev.

Etude d'un réacteur aérobie à culture concentrée couplé à une séparation par micro ou ultra-filtration tangentielles sur membranes minérales. Première approche d'une application en dépollution

La réduction de la pollution organique des eaux usées, urbaines ou industrielles, fait le plus souvent appel à des procédés biologiques anaérobies ou aérobies. Dans ce dernier cas, les procédés à boues activées sont parmi les plus courants mais nécessitent de grands volumes de bassinsLes bioréacteurs à membranes présentent l'avantage de la compacité et permettent l'obtention d'un effluent de très bonne qualité, constante, même à très forte charge.Le système étudié ici est un bioréacteur faisant corps avec le module de filtration utilisé, avec injection d'oxygène dans la boucle, supprimant ainsi tout bassin conventionnel. Une eau usée synthétique y est traitée en aérobiose sur membranes minérales à une température de 30 °C, soit par ultrafiltration à 500 Å, soit par microfiltration à 0,2 µm. Le problème de l'encrassement des membranes est étudié et certains de ses mécanismes en présence d'une biomasse concentrée sont mis en évidence. L'encrassement est évitable en utilisant un décolmatage à flux inverse et en pratiquant des purges de boues régulières. La qualité de l'effluent obtenu en sortie est en tout point comparable ou supérieure à celle d'une station à boues activées travaillant en aération prolongée. La comparaison n'inclut pas les aspects économiques, et la nitrification est incomplète.Urban or industrial waste water organic pollution is must often treated by aerobic biological systems. In this case, commonly used activated sludge plants need large tanks. Membrane bioreactors would give compactness and very high and constant quality effluent. Up to now, organic membranes have been mainly utilized for polishing effluents from conventional secondary treatment. MEMCOR process, using hollow fibers membranes, allows permeate fluxes of 100 l/h.m2 for several months under a 1 bar pressure. Chaize (1990), using inorganic membranes for urban waste water treatment, reached high organic and nitrogen removal. Biomass was about 10 to 20 g/l and permeate fluxes of 20 and 28 l/h.m2 at 1.1 and 1.4 bar transmembrane pressure with residuals less than 20 ppm COD and SSM and 5 ppm TKN.Materials and methods :The pilot studied here combined in the same module a compact bioreactor and a filtration membrane. A synthetic waste water has been treated by crossflow micro or ultrafiltration with aerobic microorganisms and pure oxygen injection. This effluent had a DCOIDBO ratio of 1.5 with very low suspended solid matters (38 mg/l). a-Alumina (pore size : 0.2 µm) or Zirconium oxide (pore size : 500 Å) inorganic membranes have been used. As membrane fouling is the main weakness of this processes, two treatments have been experimented with both membranes :1. total biomass recycling without back flush system ;2. excess biomass draining with back-flush system operating.Experiments lasted continuously for 3 to 7 days.Crossflow velocity was about 3.8 m/s, pH was regulated at 7.0 by concentrated sodium hydroxide addition.Heat generated by pumps needed heat exchange with tap water in order to maintain temperature around 30 °C, wich was considered optimal for biological reactions.Permeate COD and nitrogen, biomass Suspended Volatile Matters (SVM) and Suspended Solid Matters (SSM) have been monitored.Results and discussion :1) Effluent quality was constant and better than for conventional extended aeration. The two membranes retained the whole of SSM and bacteria, permeate COD was less than 30 mg/l, even under high load conditions (5 to 20 kg COD/kg SVM.d), elimination rates reached 98 % BOD and 97 % COD. Biomass production and oxygen consumption were lower than for high load activated sludge process, tact reported to pure oxygen utilization and unfloculated bacteria predominance. Nitrification remained very low due to short sludge age (< 90 h).2) Membranes cleaning state at the beginning of the tests didn't modify stabilized permeate fluxes. Particulate fouling predominated with 0,2 µm membrane, problem solved using back-flush system, but fast slime fouling developed in the first 24 h. Electron microscopy membrane surface examination shown heavy fouling by a biofilm which real composition remains unknown, and by numerous small particles (site range from 0.04 to 0.3 mm).With total biomass recycling, permeate fluxes were very low for both types of membranes : 15 l/h.m2 for 500 Å membrane and 2 l/h.m2 for 0.2 µm membrane. Treatment had to be stopped alter only 99 h. Biomass concentration increased up to 32 g/l in 3 days. When using back flush system and regularly draining excess biomass, becter stabilized permeate fluxes could be observed : 35 l/h.m2 for 500 Å membrane and 24 l/h.m2 for 0.2 µm membrane. Mean biomass concentration was about 15 g/l.Enzymatic digestion of slimes on fouled membranes pointed out the role of bacteria colt walls and proteins. These compounds were thought to be produced mainly under substrate limitation conditions. Fouling could thus be avoided by regularly draining excess biomass.Technology of inorganic membranes is still recent and involves relatively high costs. However, as it may ha interesting for soma industrial effluents, tests are carried on to confirm chose results

Design to reliability shielded vertical interconnection applied to microwave Chip Scale Packaging

This paper presents the electrical design, measurement and reliability ests of a shielded vertical interconnection dedicated to microwave solder-mount packages. Electromagnetic simulations show very good results up to 20 GHz. Test samples have been designed and manufactured. Electrical results are in accordance with the simulations with insertion loss lower than 0.1 dB up to 20 GHz for the proposed interconnection. Reliability tests of present no degradation of the after 500 thermal cycles in the [-55°C, +125°C] temperature range