On the univalence of the log-biharmonic mappings

In this paper, we establish the univalence and starlikeness connection between log-biharmonic mappings and logharmonic mappings.     

Beam wander characteristics of cos and cosh-Gaussian beams

Within the context of a general beam formulation, beam wander characteristics of cos and cosh-Gaussian beams are derived and numerically evaluated. In our graphs, the fundamental Gaussian beam is used as a benchmark for comparisons. The associated plots reveal that at small source sizes, a cos-Gaussian beam has the lowest beam wander, while this property is enhanced with increasing values of the displacement parameter. At large source sizes however, this advantage is taken over by cosh-Gaussian beam. Joint examination against the changing source sizes and propagation lengths shows that the range of source sizes, where the beam wander of cos-Gaussian beam remains lower, is enlarged as we go toward higher propagation lengths. Asymmetric beams tend to exhibit higher beam wanders both at small and large source sizes, but for the intermediate source size ranges, the beam wanders of asymmetric beams will fall below those of the symmetric beams. Explanations concerning these behaviors are offered. A historical account of beam wander formulation is also included.     

An investigation of the proton conductivities of hydrated poly(vinyl alcohol)/boric acid complex electrolytes

Proton-conducting polymer complex electrolytes were prepared by incorporation of boric acid, H₃BO₃ into poly(vinylalcohol), PVA, to form hydrated PVAxH₃BO₃ where x denotes the number of moles of boric acid per polymer repeat unit. The dried materials were characterized via Fourier transform infrared spectroscopy, thermogravimetry, and X-ray diffraction. The proton conductivity of the hydrated complex electrolytes was measured by AC impedance spectroscopy. PVA2H₃BO₃ with RH ∼25% was found to be optimum composition that exhibited proton conductivity of 1.3 × 10⁻³ S/cm at 80 °C.     

Ca<Superscript>2+</Superscript> and Mg<Superscript>2+</Superscript> incorporated barium hexaferrites: structural and magnetic properties

BaM hexaferrites substituted with both Ca²⁺ and Mg²⁺ ions, namely, Ba_1-2×Ca_xMg_xFe₁₂O₁₉ (0.0?≤?x?≤?0.1), synthesized during a sol–gel auto-combustion route. The hexaferrite phase and morphology of all samples were investigated using X-ray powder diffraction, a field emission scanning electron microscope, a high-resolution transmission microscope, and Fourier transform infrared spectroscopy. In addition, an M-type hexagonal structure was confirmed using XRD for all samples. FE-SEM and TEM revealed the shape of the hexagonal plate. Measurements of the magnetization versus the field M(H) of Ba_1-2×Ca_xMg_xFe₁₂O₁₉ (0.0?≤?x?≤?0.1) nanohexaferrites were conducted at 300 and 10?K. A hard-ferrimagnetic behavior at both 300 and 10?K was noted for the different products produced. The squareness ratio indicates the uniaxial anisotropy for various products. The deduced values of saturation magnetization (M_s) in all substituted samples are higher than in the pristine sample (x?=?0). The Ba_0.96Ca_0.02Mg_0.02Fe₁₂O₁₉ nanosized hexaferrite showed the highest values of M_s, remanence M_r, magneton number (n_B), and magnetocrystalline anisotropy constant (K_eff). In contrast, the values of the coercive field (H_c) and intrinsic coercivity (H_ci) diminish with the increase in the amount of the substituted Ca and Mg elements.

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Synthesis and magnetic properties of a porphine-based photosynthesizer with magnetic nano-carriers

The coupling of benzyl protected dopamine with meso-tetra(4-carboxyphenyl)porphine (m-TCPP) and a simple deprotection by hydrogenation under catalyst (Pd/C) to remove the benzyl groups afforded the meso-tetra(4-carboxyphenyl)porphine-dopamine conjugate, m-TCPPD (1). Previously prepared superparamagnetic iron oxide nanoparticles (SPIONs) were coated with m-TCPPD by sonication in methanol, and then the m-TCPPD coated SPIONs (2) were separated with a permanent magnet. The microstructure and magnetic properties of the m-TCPPD coated SPIONs were characterized by UV, ¹H NMR, MALDI MS, XRD, TEM, FT-IR, TGA and VSM. The crystallite size obtained from X-ray line profile fitting is comparable with the particle size obtained from TEM. Magnetization measurements reveal that m-TCPPD coated SPIONs do not reach saturation even at high fields. The absence of remanance and weak magnetization, which are characteristic features of superparamagnetics, has been observed. The average particle size has been determined, by fitting the Langevin function to the experimental M−H hysteresis curves, as approximately 8 nm.     

Magnetic and dielectric properties of Mn<Subscript>0.2</Subscript>Ni<Subscript>0.8</Subscript>Fe<Subscript>2</Subscript>O<Subscript>4</Subscript> nanoparticles synthesized by PEG-assisted hydrothermal method

We present a systematic investigation on the structural and magnetic properties of Mn_0.2Ni_0.8Fe₂O₄ nanoparticles synthesized by a polyethylene glycol (PEG)-assisted hydrothermal route. XRD, FT-IR, TEM and VSM were used for the structural, morphological, dielectric properties and magnetic investigation of the products, respectively. Average crystallite size of product was estimated using Line profile fitting as 6 ± 1 nm and particle size as 6.5 ± 1.0 nm from TEM micrographs. Magnetization measurements have shown that the particles have a blocking temperature of 134 K. Magnetization and the coercive field of the sample increase by decreasing the temperature. The conductivity measurements reveal the semiconducting behaviour for the sample. Temperature-dependent dielectric properties: dielectric permittivity (ε) and ac conductivity (σ_ac) for the sample were studied as a function of applied frequency in the range from 1 Hz to 3 MHz. These studies indicated that the dielectric dispersion curve for the sample showed usual dielectric dispersion which can be explained on the basis of Koop’s theory, which is based on the Maxwell–Wagner model for the interfacial polarization of homogeneous double structure.     

Intensity fluctuations in J-Bessel–Gaussian beams of all orders propagating in turbulent atmosphere

The scintillation index of a J _n -Bessel–Gaussian beam of any order propagating in turbulent atmosphere is derived and numerically evaluated at transverse cross-sections with the aid of a specially designed triple integral routine. The graphical outputs indicate that, just like the previously investigated J ₀-Bessel–Gaussian beam, higher-order members of the family also offer favorable scintillation characteristics at large source sizes. This advantage is maintained against rising beam orders. Viewed along the propagation axis, beams with lower orders and smaller widths exhibit smaller values of the scintillation index at shorter propagation distances and large values at longer propagation distances. Further, it is shown that the scintillation index of the J _n -Bessel–Gaussian beams (n>0) is larger than that of the fundamental Gaussian and the J ₀-Bessel–Gaussian beams only near the on-axis points, while remaining smaller towards the edges of the beam.