V. Farafonov, V. Ustimov, M. V. Sokolovskaya, V. Il’in
{"title":"Solution of the electrostatic problem for a core-mantle particle with non-confocal spheroidal boundaries of the mantle","authors":"V. Farafonov, V. Ustimov, M. V. Sokolovskaya, V. Il’in","doi":"10.1109/DD46733.2019.9016586","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016586","url":null,"abstract":"Problem of light scattering by a layered particle with non-confocal spheroidal boundaries of the layers is typically considered in a framework of numerical methods. We suggest a rigorous method of solving this problem and apply it to a similar (but more simple) electrostatic problem. We discuss advantages of the method and demonstrate that it provides new approximations useful for a fast solution of the problem.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122390035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Symmetric guided electromagnetic waves in a shielded slab filled with anisotropic dielectric","authors":"D. V. Raschetova, D. Valovik","doi":"10.1109/DD46733.2019.9016578","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016578","url":null,"abstract":"In this paper we introduce a concept of symmetric guided electromagnetic waves. The waves are considered in a plane dielectric slab shielded with infinitely conducting walls. The permittivity of the slab is given by a real diagonal tensor with positive entries; the permeability is a constant scalar quantity. This concept includes cases of transverse-electric and transverse-magnetic guided waves as well as novel (more complicated) types of guided waves. The dispersion equation is found and its equivalence to the original problem is formulated. Numerical results are presented.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"32 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120853703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The energy flux analysis of the backwards waves in a cylindrical shell with spring-type boundary condition on the outer surface","authors":"G. Filippenko","doi":"10.1109/DD46733.2019.9016498","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016498","url":null,"abstract":"The problem of free harmonic vibrations of an infinite circular cylindrical shell with spring-type boundary condition on the outer surface, analogous to Winkler foundation for a plate, is studied. The shell is considered of Kirchhoff–Love type. The dispersion equation is derived on the base of the exact analytical solution. The propagating waves are analyzed. The energy flux and its components corresponding to different types of shell motion is calculated in the frequency ranges where the backwards waves arise. The comparison of different mechanisms of energy transmission in the shell is fulfilled. It is shown that the negative character of the energy flux is due to the negative character of its longitudinal and torsional components with dominating of the torsion one.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116848690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On discrete WKB methods for resonance electromagnetic traps","authors":"E.V. Vybornyi","doi":"10.1109/DD46733.2019.9016596","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016596","url":null,"abstract":"We consider a model quantum Hamiltonian of a charge in a resonance electromagnetic trap. Using the operator averaging method, we obtain an effective quantum operator that asymptotically describes the anharmonic part of the Hamiltonian. We show that the operator becomes a second-order difference operator in a specially chosen quantum action-angle representation. Using the discrete WKB method for this difference equation, we obtain the semiclassical WKB asymptotics of the spectrum and stationary states of the charge.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123086384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Creeping waves in the shadow region with the Dirichlet and Neumann conditions","authors":"A. Kirpichnikova, N. Kirpichnikova","doi":"10.1109/DD46733.2019.9016422","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016422","url":null,"abstract":"We construct shadow creeping waves in the problem of a plane wave diffraction by a smooth axially symmetric prolate body of revolution for both Dirichlet and Neumann boundary conditions. Using Fock’s asymptotics as the initial data for the creeping wave amplitude, the theory of residues allows us to present the wave field in the main approximation.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127448414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
L. Goray, A. Dashkov, V. Asadchikov, B. Roshchin, A. Muslimov, V. Kanevsky
{"title":"Grazing-incidence X-ray reflectometry and fluorescence analysis of the metallic-coated sinusoidal diffraction grating","authors":"L. Goray, A. Dashkov, V. Asadchikov, B. Roshchin, A. Muslimov, V. Kanevsky","doi":"10.1109/DD46733.2019.9016515","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016515","url":null,"abstract":"Grazing incidence X-ray reflectometry (GIXRR) and fluorescence (GIXRF) analysis of the metallic-coated diffraction grating has been conducted. The grating has the sinusoidal-type groove profile derived from the atomic-force microscopy measurements. Using the developed methods of GIXRR and GIXRF, we theoretically and experimentally investigate angular dependences of the specular reflected and emitted radiation intensity of the Al-coated 400 mm grating with a Cr adhesion layer of the thickness of ~2 nm on the SiO2 substrate working in extreme conical and classical diffraction mounts for the incident wavelength of ~0.1541 nm and the grazing-incidence angle range of ~0.05–0.5 deg. The specular reflectance (the 0-th order efficiency) as well as the specular fluorescence intensity have been found from solutions of the respective vector Helmholtz equations. In order to determine the fluorescence intensity, we have used the approach based on a method of fundamental parameters using the reciprocity theorem.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134410726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonintegrability of the energy density of “complex sources” wavefields","authors":"A. Tagirdzhanov, A. Kiselev","doi":"10.1109/DD46733.2019.9016450","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016450","url":null,"abstract":"As is well known, time-harmonic “complex sources” wavefields that show a Gaussian-type localization, are solutions of inhomogeneous Helmholtz equation where source functions are supported by certain antennas with a circular edge. We address energy density of a “complex source” wavefield in a neighborhood of the edge of the antenna and show that it is nonintegrable.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114413952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computer simulation of torsional transducer from porous piezoceramics with twisted rod","authors":"G. Iovane, A. Nasedkin","doi":"10.1109/DD46733.2019.9016427","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016427","url":null,"abstract":"This paper considers a piezoelectric transducer operating on torsional modes. The transducer consists of a piezoelectric cylinder rigidly coupled with an elastic twisted rod. Along the central axis in the cylinder and in the rod, there are the cylindrical hollows with the same radius. The piezoelectric cylinder is made of PZT ceramics, polarized in the circumferential direction. It has two electrodes at the end surfaces and it is rigidly fixed at the bottom end. When a harmonically varying voltage or electric current is applied to the electrodes, in the cylinder predominantly torsional oscillations are generated. The naturally twisted shape of the elastic rod promotes to an additional amplification of torsional vibrations. The analysis of the piezoelectric transducer was carried out in the ANSYS finite element package. A comparison was made of the amplitude-frequency characteristics of the transducer near the first modes of thickness oscillations for the cases of dense and porous PZT ceramics, for the cases of twisted and non-twisted forms of an elastic rod, and for the cases when the oscillations are excited by voltage or by current generators. The results of computational experiments have shown the highest efficiency of the transducer from porous piezoceramics with a twisted rod when the vibrations are excited by the electric current generator.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116517705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the structure of the acoustic field in the sea containing a developed bubble layer near the surface","authors":"V. A. Akulichev, V. Bulanov, L. K. Bugaeva","doi":"10.1109/DD46733.2019.9016609","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016609","url":null,"abstract":"Taking into account new experimental data on the distribution of bubbles in sea water, it is shown that the influence of a near-surface layer of bubbles on the structure of the spatial decay in the propagation of sound can be significant at fairly typical concentrations of bubbles in the near-surface layers of the ocean. In the presence of bubble clouds, a spatial restructuring of the field energy structure is observed, in which the main effect of the bubbles is concentrated at small distances, at the same time not affecting the sound attenuation at large distances.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122732293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematical modeling of pulsed laser therapy","authors":"O. Trofimova, A. Kovtanyuk, I. Prokhorov","doi":"10.1109/DD46733.2019.9016546","DOIUrl":"https://doi.org/10.1109/DD46733.2019.9016546","url":null,"abstract":"The paper considers a mathematical model of laser thermotherapy of biological tissue. The model is based on the radiation transfer equation and the heat equation. An algorithm for solving the problem, based on the use of a diffusion approximation with the release of the ballistic component of the radiation flux, was implemented. A numerical analysis of radiation and thermal processes occured under laser irradiation of biological tissue containing a tumor filled with a colloidal solution of gold nanoparticles was carried out. A significant contribution of the scattered radiation component to the temperature increase in the medium was recorded.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121005340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}