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2020 Days on Diffraction (DD)最新文献

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Propagation of VLF waves guided by plane density trough in the magnetosphere 磁层平面密度槽引导VLF波的传播
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274595
T. Zaboronkova, N. F. Yashina, C. Krafft
{"title":"Propagation of VLF waves guided by plane density trough in the magnetosphere","authors":"T. Zaboronkova, N. F. Yashina, C. Krafft","doi":"10.1109/DD49902.2020.9274595","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274595","url":null,"abstract":"The propagation of electromagnetic waves guided by plane duct with decreased plasma density in homogeneous background magnetized plasma has been considered. The parametric instability of the guided waves propagating in the opposite directions is analyzed in the case of resonant magnetoplasma. The numerical results illustrating the wave interaction are presented.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"2 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":"125766235","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}
引用次数: 1
Solution of Toda lattices for semi-bounded initial data 半有界初始数据的Toda格解
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274657
A. Mikhaylov, V. Mikhaylov
{"title":"Solution of Toda lattices for semi-bounded initial data","authors":"A. Mikhaylov, V. Mikhaylov","doi":"10.1109/DD49902.2020.9274657","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274657","url":null,"abstract":"We propose a method of definition of a solution of the semi-infinite Toda lattice for a wide class of unbounded initial data. For this purpose we describe the evolution of moments of the spectral measure of semi-infinite Jacobi operator associated with the Toda lattice.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"20 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":"131480316","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}
引用次数: 0
DD 2020 Index DD 2020指数
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/dd49902.2020.9274655
{"title":"DD 2020 Index","authors":"","doi":"10.1109/dd49902.2020.9274655","DOIUrl":"https://doi.org/10.1109/dd49902.2020.9274655","url":null,"abstract":"","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"35 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":"131736047","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}
引用次数: 0
Exponential dichotomy of linear cocycles over irrational rotations 非理性旋转上线性环的指数二分法
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274638
A. Ivanov
{"title":"Exponential dichotomy of linear cocycles over irrational rotations","authors":"A. Ivanov","doi":"10.1109/DD49902.2020.9274638","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274638","url":null,"abstract":"We study a linear cocycle over irrational rotation σω(x) = x+ω of a circle $mathbb{T}^1$. It is supposed that the cocycle is generated by a $A_varepsilon :mathbb{T}^1 to SL(2,mathbb{R})$ that depends on a small parameter ε ≪ 1 and has the form of the Poincaré map corresponding to a singularly perturbed Schrödinger equation. Under assumption that the eigenvalues of Aε(x) are of the form exp (±}λ(x)/ε), where λ(x) is a positive function, we examine the property of the cocycle to possess an exponential dichotomy (ED) with respect to the parameter ε. We show that in the limit ε → 0 the cocycle exhibits ED for the most parameter values only if it is exponentially close to a constant cocycle. In the other case, when the cocycle is not close to a constant one and, thus, it does not possess ED, the Lyapunov exponent is typically large.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"62 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":"129406593","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}
引用次数: 0
Symmetric guided waves in an isotropic inhomogeneous shielded waveguide 各向同性非均匀屏蔽波导中的对称导波
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274646
V. Martynova, M. Moskaleva, D. V. Raschetova
{"title":"Symmetric guided waves in an isotropic inhomogeneous shielded waveguide","authors":"V. Martynova, M. Moskaleva, D. V. Raschetova","doi":"10.1109/DD49902.2020.9274646","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274646","url":null,"abstract":"The paper treats a problem of propagation of electromagnetic wave in a plane shielded dielectric waveguide. The waveguide is characterised by an isotropic inhomogeneous permittivity and constant permeability. Considered symmetric guided waves are characterized by a pair of (coupled) propagation constants. The physical problem is reduced to an eigenvalue problem for an operator pencil. A discreteness property for the sought eigenvalues is proved.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"293 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":"123111047","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}
引用次数: 0
Wave effects in stochastic time lagging reaction-diffusion model of quorum-sensing in bacterial populations 细菌群体感应随机滞后反应扩散模型中的波动效应
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274653
C. Kuttler, A. Maslovskaya
{"title":"Wave effects in stochastic time lagging reaction-diffusion model of quorum-sensing in bacterial populations","authors":"C. Kuttler, A. Maslovskaya","doi":"10.1109/DD49902.2020.9274653","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274653","url":null,"abstract":"The paper is devoted to developing a reaction-diffusion model of bacterial quorum sensing. The mathematical model is formalized by an initial-boundary value problem for a system of time lagging reaction-diffusion partial differential equations. A stochastic algorithm describing the self-similar process of bacterial population dynamics is proposed. An implicit finite difference scheme combined with an iterative procedure is derived. Computational experiments allow us to reveal the time-dependent fluctuations of signal substances concentrations observed during bacterial population progress.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"13 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":"122156642","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}
引用次数: 3
On matching of asymptotic representation of a whispering gallery wave propagating along a smooth surface in ℝ3 and the wavefield of a source 沿光滑表面传播的窃窃廊波的渐近表示与源波场的匹配
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274588
M. Popov
{"title":"On matching of asymptotic representation of a whispering gallery wave propagating along a smooth surface in ℝ3 and the wavefield of a source","authors":"M. Popov","doi":"10.1109/DD49902.2020.9274588","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274588","url":null,"abstract":"The paper is devoted to development of the new concept of surface waves propagation along smooth surfaces in ℝ3, proposed in [1]. We introduce an asymptotic representation of surface waves resulted from summation of solutions localized in neighborhoods of geodesic lines. Matching with surface waves generated by a source positioned in the vicinity of surface uniquely specifies the asymptotic representation.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"87 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":"116383181","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}
引用次数: 0
GPU-based optimizations of the boundary integral equation method to solve direct and inverse diffraction grating problems 基于gpu优化的边界积分方程法求解正逆衍射光栅问题
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274560
L. Goray, A. Dashkov
{"title":"GPU-based optimizations of the boundary integral equation method to solve direct and inverse diffraction grating problems","authors":"L. Goray, A. Dashkov","doi":"10.1109/DD49902.2020.9274560","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274560","url":null,"abstract":"A numerical solution of the inverse conical diffraction grating problem is considered. The boundary integral equation method is used to solve the direct problem, and a genetic algorithm is applied to solve the grating optimization problem. In this work, the acceleration techniques to the boundary integral equation method are proposed, i.e., computations of linear algebraic systems and Green’s functions utilizing the modern graphical processor unit (GPU) devices. This approach reduces the computation time of the algorithm up to four times in our experiments. The dependency of the convergence of a solution from the intrinsic parameters of the genetic algorithm is shown.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"23 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":"132731071","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}
引用次数: 2
Propagation of TM waves in a shielded dielectric waveguide filled with nonlinear anisotropic medium TM波在充满非线性各向异性介质的屏蔽介质波导中的传播
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274602
S. Tikhov, D. Valovik
{"title":"Propagation of TM waves in a shielded dielectric waveguide filled with nonlinear anisotropic medium","authors":"S. Tikhov, D. Valovik","doi":"10.1109/DD49902.2020.9274602","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274602","url":null,"abstract":"An eigenvalue problem that describes propagation of TM waves in a shielded dielectric layer filled with nonlinear anisotropic medium is studied. The non-linearity is of Kerr type and is characterized by two non-negative parameters α and β. It is proved that the considered problem has infinitely many eigenvalues for α > 0 and β ⩾ 0 and only a finite number of eigenvalues if α = 0 and β > 0.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"260 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":"132414850","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}
引用次数: 0
Broadband sound scattering by intense internal waves 强内波的宽带声散射
2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI: 10.1109/DD49902.2020.9274630
S. Pereselkov, Pavel Rybyanets, E. Kaznacheeva, M. Badiey, V. M. Kuz’kin
{"title":"Broadband sound scattering by intense internal waves","authors":"S. Pereselkov, Pavel Rybyanets, E. Kaznacheeva, M. Badiey, V. M. Kuz’kin","doi":"10.1109/DD49902.2020.9274630","DOIUrl":"https://doi.org/10.1109/DD49902.2020.9274630","url":null,"abstract":"The main goal of the paper is to present application of the interferometric method for data processing in shallow water acoustic waveguides. The source sound field interference patterns are analyzed with 2D Fourier trasformation (hologram), within the framework of interferometric processing. Our purpose is to recover separately the interference patterns of sound field in unperturbed waveguide and its hydrodynamic perturbation by filtering in hologram domain.","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":"129451998","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}
引用次数: 0
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