The efficiency eta(LC) of linear-to-circular polarization conversion when light is reflected at a dielectric-conductor interface is determined as a function of the principal angle phi and principal azimuth psi . Constant-eta(LC) contours are presented in the phi , psi plane for values of eta(LC) from 0.5 to 1.0 in steps of 0.05, and the corresponding contours in the complex plane of the relativ...

We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to Specht's ratio. Among them, we show that, if $A, Bin mathcal{B(mathcal{H})}$ satisfy in some conditions, it follow...

Abstract The Keller–Segel–Navier–Stokes system $$\begin{aligned} \left\{ \begin{array}{rcll} n_t + u\cdot \nabla n &amp;{}=&amp;{} \Delta - \chi \cdot (n\nabla c) \rho n-\mu n^2,\\ c_t c c-c+n, \\ u_t (u\cdot )u u P \phi f(x,t), \qquad u=0, \end{array} \right. (\star ) \end{aligned}$$ <mml:mfen...

We use Nadler’s theorem and the resolvent operator technique for m-accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the iterative sequences generated by the algorithm i...

This paper is about the homogenization of linear elliptic operators in divergence form with stationary random coefficients that have only slowly decaying correlations. It deduces optimal estimates error from growth (extended) corrector. In line heuristics, there are transitions at dimension $d=2$, and for a correlation-decay exponent $\beta=2$; we capture correct power logarithms coming these t...

A $it{weighted~slant~Toep}$-$it{Hank}$ operator $L_{phi}^{beta}$ with symbol $phiin L^{infty}(beta)$ is an operator on $L^2(beta)$ whose representing matrix consists of all even (odd) columns from a weighted slant Hankel (slant weighted Toeplitz) matrix, $beta={beta_n}_{nin mathbb{Z}}$ be a sequence of positive numbers with $beta_0=1$. A matrix characterization for an operator to be $it{weighte...

&lt;p style='text-indent:20px;'&gt;We associate to a perturbation &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;\begin{document}$ (f_t) $\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt; of (stably mixing) piecewise expanding unimodal map id="M2"&gt;\begin{document}$ f_0 two-variable fractional susceptibility function id="M3"&gt;\begin{document}$ \Psi_\phi(\eta, z) $\end{document}&lt;/tex-...

The ${f}_{0}(1710)$ was previously proposed to be a dynamically generated state with interactions between vector mesons. We extend the study of by including its coupling channels pseudoscalar mesons within coupled-channel approach. involved are ${K}^{*}{\overline{K}}^{*},\ensuremath{\rho}\ensuremath{\rho},\ensuremath{\omega}\ensuremath{\omega},\ensuremath{\phi}\ensuremath{\phi},\ensuremath{\ome...

The strangeonium-like $s\bar{s}g$ hybrids are investigated from lattice QCD in the quenched approximation. In Coulomb gauge, spatially extended operators constructed for $1^{--}$ and $(0,1,2)^{-+}$ states with color octet $s\bar{s}$ component being separated chromomagnetic field strength by spatial distances $r$, whose matrix elements between vacuum corresponding interpreted as Bethe-Salpeter (...

* Correspondence: [email protected] Department of Mathematics, Sichuan University of Science and Engineering, Zigong, 643000, Sichuan, People’s Republic of China Full list of author information is available at the end of the article Abstract In this paper, we develop a new perturbed iterative algorithm framework with errors based on the variational graphical convergence of operator sequences w...