Abstract. We consider a Caley graph Γ of a free abelian group (i.e. a lattice) and harmonic functions on Γ with values in a field K of positive characteristic. We are interested in pluri-periodic such functions. Which pluri-periods can occur? This question arises naturally, in the characteristic 2 case, in relation with the game ”Lights out” on a rectangular or a toric board, or otherwise in st...

In this paper we revisit the third harmonic generation from a femtosecond laser filament in air and its significant enhancement (~ 100 times) with a intercepting pump pulse, which has been reported very recently. The enhanced third harmonic is studied as a function of the pulse polarization, time delay between the pump and signal pulses, laser pulse energy, etc. We provide an explanation for th...

Typically, MR-elastography (MRE) encodes the propagation of monochromatic acoustic waves in the MR-phase images via sinusoidal gradients characterized by a detection frequency equal to the frequency of the mechanical vibration. Therefore, the echo time of a conventional MRE sequence is typically longer than the vibration period which is critical for heart tissue exhibiting a short T(2). Thus, f...

Plasmonic waveguides have shown the potential to guide subwavelength optical modes, the so called surface plasmon polaritons, at metal-dielectric interfaces. In particular, a metal-dielectric-metal (MDM) structure supports a subwavelength propagating mode at a wavelength range extending from DC to visible. Thus, such a waveguide could be important in providing an interface between conventional ...

Abstract We explore the relationship between weighted path orders and (monotonic) semantic orders. Our findings reveal that can be considered instances of a variant comprise order pairs. This observation leads to generalization does not impose simplicity on their underlying algebras. As result, generalized version is capable proving termination term rewrite systems beyond realm simple terminati...

Piezoelectric vibration energy harvesters have demonstrated the potential for sustainable generation from diverse ambient sources in context of low-powered micro-scale systems. However, challenges remain concerning harvesting more power low-frequency input excitations and broadband random excitations. To address this, here we propose a purely mechanical approach by employing inertial amplifiers...

By using the numerical solution of time-dependent Schrödinger equation, we theoretically explored high-order harmonic generation process under interaction high-intensity two-color ultrashort driving laser pulses with atoms. The symmetry electric field pulse will be broken. producing was controlled at subcycle level by an IR and its second harmonic, which has unique characteristic that two seque...

In the main this paper introduces the concept of chromatic harmonic polynomials denoted, $H^chi(G,x)$ and chromatic harmonic indices denoted, $H^chi(G)$ of a graph $G$. The new concept is then applied to finding explicit formula for the minimum (maximum) chromatic harmonic polynomials and the minimum (maximum) chromatic harmonic index of certain graphs. It is also applied to split graphs and ce...

In this paper, we consider a fractional nonlinear oscillator for mass attached to stretched elastic wire. The coupling technique based on the complex transform and global residue harmonic balance method is proposed solving oscillator. approximated periodic solutions frequencies are provided without complicated computation discretization. frequency–amplitude relationship investigated show its mo...

Abstract:Today, one of the important issues of power quality (PQ) in power systems is the current harmonics. Increasing expansion of nonlinear loads at different parts of the electric network makes harmonic distortion flow through the network. This causes the network to have background voltage and current harmonic distortion and even affect on the PQ of linear load performance. Therefore, it is...