Absence of bound states for waveguides in 2D periodic structures

We study a Helmholtz-type spectral problem in a two-dimensional medium consisting of a fully periodic background structure and a perturbation in form of a line defect. The defect is aligned along one of the coordinate axes, periodic in that direction (with the same periodicity as the background), and bounded in the other direction. This setting models a so-called "soft-wall" waveguide problem. We show that there are no bound states, i.e., the spectrum of the operator under study contains no point spectrum.Comment: This is an updated version of our paper (in slightly different form in Journal of Mathematical Physics). An anonymous reviewer kindly made us aware that ref. 10 is not applicable in our situation. An application of the theorem in ref. 10 would have proved the absence of singular continuous spectrum also. Our result on the absence of point spectrum is not affected by thi

Electromagnetic phenomena in heterogeneous media: Effective properties and local behavior

The purpose of this paper is the use of a mathematical homogenization approach based on the multiple scale expansion theory for modeling the electromagnetic phenomena arising in heterogeneous media under an imposed magnetic flux. The attention is focused on the analysis and discussion of the merits and limits of this theoretical approach in reproducing not only the effective macroscopic properties but also the local behavior, under a wide frequency range and considering different constitutive and geometrical parameters. The results show that the proposed method is able to predict local and integral physical quantities, ranging from a substantially global behavior in the whole media to significantly localized effects determined by the microscopic structure

On absolute continuity of the spectrum of a periodic magnetic Schr\"odinger operator

We consider the Schr\"odinger operator in ${\mathbb R}^n$, $n\geq 3$, with the electric potential $V$ and the magnetic potential $A$ being periodic functions (with a common period lattice) and prove absolute continuity of the spectrum of the operator in question under some conditions which, in particular, are satisfied if $V\in L^{n/2}_{{\mathrm {loc}}}({\mathbb R}^n)$ and $A\in H^q_{{\mathrm {loc}}}({\mathbb R}^n;{\mathbb R}^n)$, $q>(n-1)/2$.Comment: 25 page

Therapeutic and prophylactic gel for external use adainst candidiasis based on probiotic balis

Aim: to develop a gel product based on filtrates of live cultures Bacillus subtilis , Bacillus licheniformis and lectinlinking component from Lactobacillus fermentum for the treatment and prevention of dysbiosis, in particular caused by Candida. Proposed sanitary products for women based on extracellular products of probiotic strains of bioproduct Balis, increases antibacterial protection. Balis restores normal human microflora. Preventive action is provided by high antagonistic activity of probiotic components, suppression of adhesion of fungi and bacteria on the mucosal epithelium in the competitive type, increasing of anti-infective resistance

Development of structure and methods of standardization of capsules indapamide

There are established optimum parameters of technological process of reception and structure capsule weights indapamide. Normative parameters of quality of capsules indapamide 2,5 mg are proved. Techniques of acknowledgement of authenticity indapamide, definition of extraneous impurity, an establishment of the quantitative maintenance, definition of quantity of substance in the environment of dissolution and uniformity of batching indapamide in capsules are developed

The development of composition and the elaboration of the analitycal procedures of ladasten tablets

Ladasten is original anxiolytic medicine with the psychostimulant action that increases human resistance to unfavorable factors of the environment. As the result of the investigation the optimal composition was found and the methods of analysis were elaborated for the direct compression tablets