Isometries between completely regular vector-valued function spaces

Periodica Mathematica Hungarica - In this paper, first we study surjective isometries (not necessarily linear) between completely regular subspaces A and B of $$C_0(X,E)$$ and $$C_0(Y,F)$$ where X...     

The oscillatory behavior, static and dynamic analyses of a micro/nano gyroscope considering geometric nonlinearities and intermolecular forces

The nonlinear dynamic and static deflection of a micro/nano gyroscope under DC voltages and base rotation are investigated. The gyroscope undertakes two cou- pled bending motions along the drive and sense directions and subjected to electrostatic actuations and intermolecular forces. The nonlinear governing equations of motion for the system with the effect of electrostatic force, intermolecular tractions and base rotation are derived using extended Hamilton principle. Under constant voltage, the gyroscope finds the preformed shape. First, the deflection of the rnicro/nano gyroscope under electrostatic forces is obtained by static and dynamic analyses. Furthermore, the static and dynamic in- stability of the system are investigated. Afterward the oscillatory behavior of the pre-deformed micro/nano gyroscope around equilibrium is studied. The effects of intermolecular and nonlinear parameters on the static and dynamic de- flection, natural frequencies and instability of the micro/nano gyroscope are studied. The presented model can be used to exactly determine static and the dynamic behavior of vibratory micro/nano gyroscopes.     

Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method

In this study, static pull-in instability of electrostatically-actuated microbridges and microcantilevers is investigated considering different nonlinear effects. Galerkin’s decomposition method is utilized to convert the nonlinear differential equations of motion to nonlinear integro-algebraic equations. Afterward, analytic solutions to static deflections of the microbeams are obtained using the homotopy perturbation method. Results are in excellent agreement with those presented in the literature.     

Superluminal propagation and information transfer: A statistical approach in the microwave domain

Signal velocity is calculated in a medium with negative group delay (NGD). By accounting for the medium and the detector noise sources, the time varying probability of error at the detector [Pe(t)$\mathit{Pe}(t)$] is evaluated in the NGD channel and a normal dispersion channel. The scheme in which Pe(t)$\mathit{Pe}(t)$ falls below a threshold at earlier time, implies faster information transfer. It is found that the signal velocity depends on the detector type and the relative noise strength of the detector with respect to the channel. Finally, it is shown that NGD channels can be useful in applications that are limited by the detector noise.     

Weak gravitational lensing of Dilaton-de Sitter black holes

In this work, we examine the effects of the cosmological constant and a scalar field on the angle of deflection of null geodesics in the equatorial plane of the Dilaton-de Sitter space–time. We employ the Rindler–Ishak method to compute the gravitational lensing. We derive new limits on the value of the cosmological constant, \(\Lambda \), based on the bending of light by systems where the lens is a distant galaxy or a cluster of galaxies. These results are essential and important for studies of cosmology.     

A marriage of convenience: Hybridization of surface plasmon and dielectric waveguide modes

Plasmonics has attracted a lot of interest in the past few years because of its unique features, especially for its ability to confine light in extremely small volumes. However, application of plasmonics is restricted by the large propagation loss associated with plasmonic waveguides. On the other hand, dielectric waveguides enjoy low loss, although the mode confinement is relatively weaker. Hybrid plasmonic waveguides (HPWGs), which combine these two guiding mechanisms, allow one to utilize the benefits of both technologies. Over the past few years there have been intense research activities around the world on this new guiding scheme. In this work the operating principle of HPWGs, various HPWG structures proposed by different research groups, and their potentail applications are reviewed.     

Some novel hexa-coordinated cadmium Schiff base complexes: X-ray structure,Hirshfeld surface analysis,antimicrobial and thermal analysis

A series of cadmium (II) complexes with the general formula of CdLX₂, where X = Cl⁻, Br⁻, I⁻, SCN⁻ and N₃⁻ and L is a tetradentate N₄-donor Schiff base ligand; were synthesized by a sonochemical process as a simple, cost effective and environmentally friendly method. The organic ligand was obtained by condensation reaction of triethylenetetraamine (trien) and cinnamaldehyde. The characterization of coordination compounds was carried out by FT-IR, ¹HNMR, ¹³CNMR, UV–visible spectroscopies and then conductivity measurements. The crystal structure of the cadmium azide complex was determined by single crystal X-ray diffraction. This complex crystallizes in the monoclinic space group of C2/c. The cadmium ion is hexa-coordinated by four nitrogen atoms from the tetradendate Schiff base ligand and two terminal azide nitrogen atoms. The crystal packing and Hirshfeld surface analysis of the CdL(N₃)₂ complex indicates the essential role of intermolecular interactions related to azido groups in the formation of supramolecular structure. The thermal behavior of complexes was studied by TG/DTG analysis. Moreover, an antibacterial bioassay of the cadmium complexes has been performed in vitro against two gram-positive (Staphylococcus aureus and Bacillus subtilis) and two gram-negative (Escherichia coli and Pseudomonas aeruginosa) bacterial strains. Furthermore antifungal activities of the compounds against two fungal strains of Aspergilus niger and Candida albicans were also investigated.     

Thermal Stress Analysis of a Continuous and Pulsed End-Pumped Nd:YAG Rod Crystal Using Non-Classic Conduction Heat Transfer Theory

In this paper, temperature distribution in the continuous and pulsed end-pumped Nd:YAG rod crystal is determined using nonclassical and classical heat conduction theories. In order to find the temperature distribution in crystal, heat transfer differential equations of crystal with consideration of boundary conditions are derived based on non-Fourier’s model and temperature distribution of the crystal is achieved by an analytical method. Then, by transferring non-Fourier differential equations to matrix equations, using finite element method, temperature and stress of every point of crystal are calculated in the time domain. According to the results, a comparison between classical and nonclassical theories is represented to investigate rupture power values. In continuous end pumping with equal input powers, non-Fourier theory predicts greater temperature and stress compared to Fourier theory. It also shows that with an increase in relaxation time, crystal rupture power decreases. Despite of these results, in single rectangular pulsed end-pumping condition, with an equal input power, Fourier theory indicates higher temperature and stress rather than non-Fourier theory. It is also observed that, when the relaxation time increases, maximum amounts of temperature and stress decrease.