K-theory tools for local and asymptotic cyclic cohomology

A generalization of the Connes-Thom isomorphism is given for stable, homotopy invariant, and split exact functors on separable -algebras. As examples of these functors, we concentrate on asymptotic and local cyclic cohomology, and the result is applied to improve some formulas in asymptotic and local cyclic cohomology of -algebras. As another application, it is shown that these cyclic theories are rigid under Rieffel's deformation quantizations.

     

Controlling the resonance of a photonic crystal microcavity by a near-field probe

We demonstrate theoretically that the resonance frequencies of high-Q microcavities in two-dimensional photonic crystal membranes can be tuned over a wide range by introducing a subwavelength dielectric tip into the cavity mode. Three-dimensional finite-difference time-domain simulations show that by varying the lateral and vertical positions of the tip, it is possible to tune the resonator frequency without lowering the quality factor. Excellent agreement with a perturbative theory is obtained, showing that the tuning range is limited by the ratio of the cavity mode volume to the effective polarizability of the nanoperturber.     

Integrated all-optical pulse regenerator in chalcogenide waveguides

We report a fully integrated, passive, all-optical regenerator capable of terabit per second operation, based on a highly nonlinear chalcogenide (As2S3) glass rib waveguide followed by an integrated Bragg grating bandpass filter. We demonstrate a clear nonlinear power transfer curve with 1.4 ps optical pulses, capable of improving the signal-to-noise ratio and reducing the bit error rate for digital signals.     

Evaluating Ecohydrological Model Sensitivity to Input Variability with an Information-Theory-Based Approach

Ecohydrological models vary in their sensitivity to forcing data and use available information to different extents. We focus on the impact of forcing precision on ecohydrological model behavior particularly by quantizing, or binning, time-series forcing variables. We use rate-distortion theory to quantize time-series forcing variables to different precisions. We evaluate the effect of different combinations of quantized shortwave radiation, air temperature, vapor pressure deficit, and wind speed on simulated heat and carbon fluxes for a multi-layer canopy model, which is forced and validated with eddy covariance flux tower observation data. We find that the model is more sensitive to radiation than meteorological forcing input, but model responses also vary with seasonal conditions and different combinations of quantized inputs. While any level of quantization impacts carbon flux similarly, specific levels of quantization influence heat fluxes to different degrees. This study introduces a method to optimally simplify forcing time series, often without significantly decreasing model performance, and could be applied within a sensitivity analysis framework to better understand how models use available information.     

Synthesis,spectroscopic characterization,crystal structure determination and DFT calculations of [Au(Me<Subscript>2</Subscript>phen)Br<Subscript>2</Subscript>][AuBr<Subscript>2</Subscript>]

New mixed valence gold(III/I) salt containing two complexes [Au(Me₂phen)Br₂][AuBr₂] (1) was prepared from the reaction of AuBr₃ and 5,6-dimethyl-1,10-phenanthroline (Me₂phen) in a mixture of methanol and acetonitrile. Suitable crystals of 1 for X-ray diffraction measurement were obtained by slow evaporation of the resulted red solution at room temperature. This complex was characterized by spectral methods (IR, UV–Vis and ¹H NMR), elemental analysis and single-crystal X-ray diffraction. The X-ray structural analysis indicated that the asymmetric unit of 1 contains one [Au(Me₂phen)Br₂]⁺ cation and two half anions of [AuBr₂]^ˉ. Furthermore, the packing diagram of this complex, 3-D structure stabilized by intermolecular Au…Br and Au…π interactions and intermolecular C–H···Br hydrogen bonds. The experimental investigations on complex have been accompanied computationally by the density functional theory (DFT) and time-dependent DFT calculations. The nature of the Au–N bonds was investigated using quantum theory of atoms in molecules. Moreover, natural bond orbital analysis carried out to obtain hyper-conjugative interactions and electron delocalization on the complex.     

Synthesis,Characterization, and Crystal Structure of new Macromolecule Iron(III) Complex Containing Dimethyl Phosphate,Acetate, and Dimethyl sulfoxide

The reaction between a solution of [Fe₃O(μ‐OAc)₆(H₂O)₃]Cl·6H₂O ( 1 ) (OAc = acetate) and TMP (TMP = trimethyl phosphate) in absolute ethanol and DMSO (DMSO = dimethyl sulfoxide), led to the coordination macromolecule ‐[Fe₁₆(μ₃O)₈(μ₃‐OH)₄(μ‐OH)₄(μ‐DMP)₁₂(μ‐OAc)₁₂(DMSO)₄]·2DMSO·1.5H₂O ( 2 ) (DMP = dimethyl phosphate). This complex was characterized by elemental analysis, IR spectroscopy, and single‐crystal structure. Crystal data for 2 at ?153 °C: triclinic, space group , a = 18.185(2), b = 18.349(2), c = 21.976(3) Å, α = 91.633(3)°, ß = 103.833(3)° γ = 96.486(3)°, Z = 2 and R1 = 0.0655.     

Improved sensitivity of intensity-modulated spectroscopy using correlative signal processing

Frequency-modulation (FM) spectroscopy is known to be a sensitive spectroscopic technique capable of accurately measuring the frequency dependence of the absorption and index of refraction of narrow spectral features. The absorption and index of refraction are coupled by a form of the Kramers-Kronig (K-K) relations, and both components provide information about the spectral feature. In this Letter, we propose a processing technique based on fitting the data to a complex signal model derived from the K-K relation. By using this complex constraint and only processing a single quadrature, our model predicts significant improvement in the minimum detectable absorption compared with conventional FM spectroscopy.     

Effect of fluids properties on non-equilibrium capillarity effects: Dynamic pore-network modeling

We have developed a Dynamic Pore-network model for Simulating Two-phase flow in porous media (DYPOSIT). The model is applicable to both drainage and imbibition processes. Employing improved numerical and geometrical features in the model facilitate a physically-based pore-scale simulator. This computational tool is employed to perform several numerical experiments (primary and main drainage, main imbibition) to investigate the current capillarity theory. Traditional two-phase flow formulations state that the pressure difference between the two phase is equal to the capillary pressure, which is assumed to be a function of saturation only. Many theoretical and experimental studies have shown that this assumption is invalid and the pressure difference between the two fluids is not only equal to the capillary pressure but is also related to the variation of saturation with time in the domain; this is referred to as the non-equilibrium capillarity effect. To date, non-equilibrium capillarity effect has been investigated mainly under drainage. In this study, we analyze the non-equilibrium capillarity theory under drainage and imbibition as a function of saturation, viscosity ratio, and effective viscosity. Other aspects of the dynamics of two-phase flow such as trapping and saturation profile are also studied.     

A novel approach for fixation of β-cyclodextrin on cotton fabrics

Cyclodextrins are cyclic oligosaccharides, which form complexes with different organic substances such as drugs, odors, and etc. Due to the complexing abilities of cyclodextrins (CDs), they may also be used in textile industry as an auxiliary in washing, dyeing, and wastewater treatment. Fixation of CDs on textiles is possible using reactive derivatives of cyclodextrins or crosslinking agents. In this study we have investigated the use of polyaminocarboxylic acids (PACAs) as novel crosslinking agents for the fixation of β-CD on cotton fabrics. Fixation of β-CD on cotton fabric has been quantified by measuring the weight increase of the treated samples. The influence of the concentration of the catalyst (sodium hypophosphite) was studied, too. The presence of β-CD on the cotton has been investigated by the phenolphthalein test and host–guest complexation with organic volatile molecules: cyclohexene, chlorobenzene, cyclohexene-1-one and toluene.