Mathematical modeling of ruby laser as a pumping source of a “self Q-switched” distributed feedback dye laser

A mathematical model describing the dynamic emission of the ruby laser as a pumping source of a distributed feedback dye laser (DFDL) has been adapted. The suggested model allows the temporal behavior investigation of the ruby laser and the DFDL on mode characteristics and, moreover, investigating the affect of laser input parameters on the output laser pulses in the ruby laser and in the DFDL.The numerical solutions of a coupled nonlinear rate equations system of the adapted model that predict the generation of picoseconds pulses, with neglecting the effect of refractive index variation, are discussed (feedback process is achieved only by optical gain). The model estimates the density of the emitted radiation, energy density of the first excited state, and the output power of the DFDL. The adapted mathematical model is in good agreement with the available experimental data.     

Modeling the plasma kinetics mechanisms of CuBr laser with neon–hydrogen additives

A mathematical model describing the discharge kinetics and lasing characteristics of copper bromide vapor laser with neon and hydrogen additives has been developed. The suggested model is based on a “zero-dimensional” model and offers simple mechanisms to explain discharge kinetics mechanisms, different physical processes and hydrogen additive effects on the copper bromide vapor laser.The model estimates the temporal evolution of discharge voltage and current, population densities, laser beam density, electron temperature and radial distribution of pressure and buffer gas temperature. The suggested mechanism assumes that the electron detachment from negative hydrogen ions does not contribute to the copper ionization process.Numerical solutions of a nonlinear rate equation system predict the generation of nanosecond pulses. The calculated maximum values of discharge voltage, current, average output laser power, electron temperature, etc. are in good agreement with other reported calculated and experimental data.     

Ionic Mobility and Dielectric Relaxation in Glass-Forming Mixtures of Sodium Chloride and Glycerol

Measurements of electrical conductivities of liquid and supercooled liquid NaCl–glycerol solutions were carried out between +42° and ?87°C. Time-domain measurements of dielectric relaxation in pure glycerol and in NaCl–glycerol solutions between ?78 and ?89.9°C are described. The transient response data were fitted to the empirical Davidson–Cole response model. The specific conductivity data show a non-Arrhenius behavior near the glass-transition temperature and is well described by the Vogel–Tammann–Fulcher (VTF) law, which also fits the dielectric relaxation time data. The Vogel–Fulcher divergence temperature is consistent with the Kauzmann temperature. The dielectric relaxation time is increased significantly by the addition of sodium chloride, whereas the static relative permittivity decreases linearly with concentration, indicating that NaCl has a “structure-making” effect on the structure of glycerol.     

Reflection coefficient determination of the complex resonator mirrors in solid state laser

On the basis of pulse-energy measurement of Nd–YAG laser emission, the reflection coefficient of complex mirror is determined as a function of pumping energy and resonator parameters. It is shown that the reflection coefficient of complex mirror has the tendency to stabilize with increasing pumping energy above the threshold energy. The practical interest of this work is to determine the reflection coefficient of resonant mirror without using calibrated mirrors.     

Sur quelques problèmes concernant les fonctions holomorphes et plurisousharmoniques

Résumé  On établira dans ce papier le lien biunivoque entre fonctios plurisousharmoniques et fonctions holomorphes.

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We prove in this paper the connection between plurisubharmonic and holomorphic functions.

     

Synthesis and binding properties of calix[4]arenes with [2 + 2'] mixed ligating functional groups

A series of mixed [2 + 2'] p-tert-butylcalix[4]arene have been synthesised by selective 1,3-dialkylation of phenolic groups using various alkylating agents such as benzyl bromide, methyl iodide, ethyl bromoacetate, and 2-methoxyethyl tosylate. The extraction and complexation properties of the synthesized calixarenes towards alkali and alkaline earth metal cations have been investigated in acetonitrile by means of UV spectrophotometry and 1H NMR spectroscopy. The results show the formation of ML and/or ML2 species depending on the ligand and the cation. The enthalpies and entropies of complexation of alkali metal cations by a tetraglycol, diglycol-dibenzyl and diglycol-diester derivatives have been obtained from calorimetric measurements. The results revealed that the formation of ML species is controlled by enthalpy while the formation of ML2 from ML is entropy driven.     

Synthesis and Complexing Properties of Four New Tetraamido-type p-tert-Butyl Calix[4]arenes Presenting Two Proximal Binding Subunits

The synthesis of four new tetraamido-type p-tert-butylcalix[4]arenes presenting two proximal binding subunits is reported. Complexation of alkalimetals and zinc picrates with these ligands have been carried out and monitored by ¹H-NMR inCDCl₃. It is shown that hard cations are included in the tetraamido cavity while thezinc cation is chelated to the pyridine rings of one of the ligands. The formation of a 1:1:1heterobinuclear complex is also described     

High-performance liquid chromatographic separation of molecular species of neutral phospholipids.

Molecular species of neutral phospholipids, phosphatidylcholine (PC) and phosphatidylethanolamine (PE), were resolved by reversed-phase high-performance liquid chromatography (HPLC) using mobile phases of acetonitrile-methanol-water containing tetraalkylammonium phosphates (TAAPs). Competitive interactions of TAAPs and analyte solutes with a reversed-phase HPLC column resulted in reduced retention of PC or PE with concomitant increase in detection sensitivity. The chromatographic data for PC and PE were distinctly different from those for negatively charged phospholipids where ion-pair retention mechanisms prevailed. While PC (or PE) components eluted at longer retention times with a larger size of TAAP, an increase in the TAAP concentration invariably caused a decrease in phospholipid retention times. Optimization of HPLC conditions by using high concentrations (25-100 mM) of tetramethylammonium phosphate in acetonitrile-methanol-water (70:22:8) facilitated elution of components with improved peak symmetry. HPLC separations of neutral phospholipids derived from animal sources were more complex than those from soybeans.