C. Alexeyev, E. Barshak, D. Vikulin, B. Lapin, M. Yavorsky
{"title":"Toffoli gate in twisted anisotropic and multihelical optical fibers","authors":"C. Alexeyev, E. Barshak, D. Vikulin, B. Lapin, M. Yavorsky","doi":"10.1109/DD49902.2020.9274577","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274577","url":null,"abstract":"We demonstrate the ability to use multihelical and twisted anisotropic fibers to implement the all-fiber stable logical element controlled-controlled-NOT gate (Toffoli gate). In twisted anisotropic fibers, we imply the radial number and the topological charge of input optical vortex as the control bits and the circular polarization carries the target bit. In multihelical fiber, the circular polarization and the radial number carry the control bits, while the topological charge carries the target one.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116058240","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":"Surface waves generation in Sommerfeld antenna radiolocation problem","authors":"V. Zalipaev, V. Vialov, A. Matveentsev","doi":"10.1109/DD49902.2020.9274660","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274660","url":null,"abstract":"The problem of radiation of a vertical thin-wire antenna (active vibrator) located above a flat interface between two dielectric media is studied. Using Sommerfeld’s analytical solution of the point source problem, we derive integral equations of the Pocklington type for the electric current of a vibrator made of a thin metallic wire of finite length. This algorithm allows description of excitation of bulky and surface waves. Particular attention is paid to the problem with the antenna located in the upper half-space, in the air, and when the lower half-space is a dielectric medium with finite conductivity. In the numerical analysis, we demonstrate that an algorithm that numerically estimates the vibrator’s electric current provides accurate and stable results, which have also been tested against COMSOL finite element data. Examples of electromagnetic wave generation by the vertical vibrator for fresh and salted waters are discussed and show a significant surface wave excitation.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"88 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120896858","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":"Determination of a wave field in a layered medium from boundary data","authors":"M. N. Demchenko","doi":"10.1109/DD49902.2020.9274667","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274667","url":null,"abstract":"We deal with the problem of determining a solution to a perturbed wave equation in the half-plane from the Cauchy data on the space-time boundary. The equation in consideration describes, in particular, a non-stationary wave process in a laterally or vertically inhomogeneous medium. Problems of this type relate to the problem of continuation of a wave field from the boundary, arising in geophysics (ground-penetrating radar).","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134600167","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":"Visualization of complex shape inclusions in the breast ultrasound tomography problem, image processing","authors":"V. Filatova, Valeria A. Sedaikina","doi":"10.1109/DD49902.2020.9274618","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274618","url":null,"abstract":"Visualization of the acoustical medium is an important diagnostic instrument for determining breast cancer. The acoustical medium is visualized using the well-known geophysical method — reverse time migration (RTM). We describe some results of simulations of this problem for a specific breast model in 2D. The numerical solution of the problem relies on a standard library of parallel computing (OpenMP) and is carried out on a cluster system. After applying the RTM procedure, the images are processed for localizing regions of interests (ROIs). The procedure of processing includes increasing the intensity of the inclusions that interest us, filtering to reduce and remove noise, edge detection of the inclusions. The described method is automated to eliminate the need for manual processing.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125077869","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}
A. Kovtanyuk, A. Chebotarev, V. Turova, I. Sidorenko, R. Lampe
{"title":"Inverse problem for a linearized model of oxygen transport in brain","authors":"A. Kovtanyuk, A. Chebotarev, V. Turova, I. Sidorenko, R. Lampe","doi":"10.1109/DD49902.2020.9274578","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274578","url":null,"abstract":"A continuum steady-state model of oxygen transport in brain with unknown intensities of the sources describing the oxygen inflow and its outflow via the arterioles and venules is studied. The corresponding boundary value problem is reduced to an inverse problem with finite overdetermination. The unique solvability of the inverse problem is proved, and a numerical approach to find a solution is proposed.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128872473","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}
B. Bryantsev, A. Kalinovich, I. Zakharova, M. Komissarova, S. Sazonov
{"title":"Two-component optical vortices at zero group velocity dispersion","authors":"B. Bryantsev, A. Kalinovich, I. Zakharova, M. Komissarova, S. Sazonov","doi":"10.1109/DD49902.2020.9274606","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274606","url":null,"abstract":"By means of numerical simulation, we study the formation and propagation of vortex solitons in a quadratic nonlinear medium with competing diffraction, group velocity dispersion close to zero (GVD) and third-order dispersion in the presence of the waveguide structure. We assume that balance between nonlinearity, inhomogenity, diffraction, and third-order dispersion near zero GVD can support vortex soliton.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121244699","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}
A. Shpak, M. Golub, S. A. Glinkova, A. D. Khanazaryan
{"title":"3D mathematical model for the simulation of piezo-induced guided waves in an elongated plate-like structure","authors":"A. Shpak, M. Golub, S. A. Glinkova, A. D. Khanazaryan","doi":"10.1109/DD49902.2020.9274567","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274567","url":null,"abstract":"Design of a reliable guided wave-based structural health monitoring system requires full 3D mathematical model for simulation of the piezo-induced wave propagation in an elastic waveguide. In this paper, the semi-analytical boundary integral equation method is applied for modelling of the Lamb waves propagation in an elongated plate-like structure, induced by a surface load function. Employment of the axisymmetric functions for traction vector interpolation allows reducing the computational costs. It is demonstrated that calculation of the wave field is faster and more accurate, compared to conventional FEM software.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"160 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123024277","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":"Air-coupled ultrasonic inspection of anisotropic composite plates","authors":"O. Miakisheva, E. V. Glushkov, N. Glushkova","doi":"10.1109/DD49902.2020.9274608","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274608","url":null,"abstract":"The present research is a continuation of our work [1], in which a set of analytically-based computer models for the coupled time-harmonic oscillation generated by a given source in acoustic fluid with an immersed anisotropic plate has been developed. This study is focused on the influence of anisotropy of the immersed composite plate on the dispersion characteristics of guided waves (GWs) excited by the incident acoustic beam.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132734560","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 regularization of the Heun functions","authors":"O. Motygin","doi":"10.1109/DD49902.2020.9274656","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274656","url":null,"abstract":"In the paper we consider the Heun functions, which are solutions of the equation introduced by Karl Heun in 1889. The Heun functions generalize many known special functions and appear in many fields of modern physics. Evaluation of the functions was described in [1]. It is based on local power series solutions near the origin, derived by the Frobenius method, and analytic continuation to the whole complex plane with branch cuts. However, exceptional cases can occur at integer values of an exponent-related parameter γ of the equation, when one of the two local solutions should include a logarithmic term. This also means singular behavior of the Heun functions as γ approaches the integer values. Here we suggest a method of regularization and redefine the Heun functions in some vicinities of the integer values of γ, where the new functions depend smoothly on the parameter.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125634085","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":"Diffraction by a jump of curvature: wavefield near the limit ray at a moderate distance","authors":"E. Zlobina","doi":"10.1109/DD49902.2020.9274586","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274586","url":null,"abstract":"We are concerned with deriving formulas that describe high-frequency diffraction by a contour with a jump of curvature. In earlier research [1] we have shown that the rigorous boundary-layer approach allows obtaining an asymptotic expression for the wavefield near the limit ray in terms of the parabolic cylinder function D−3. This result is valid in a small neighborhood of the singular point of the contour. In this note we extend formulas for the vicinity of the limit ray to a larger distance.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122074372","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}