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Proceedings of the International Conference Days on Diffraction 2013最新文献

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Electromagnetic solution for scattering from 2D rough surfaces through general solutions for 1D rough surfaces in short waves 二维粗糙表面散射的电磁解通过短波一维粗糙表面的一般解
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712805
L. Goray
{"title":"Electromagnetic solution for scattering from 2D rough surfaces through general solutions for 1D rough surfaces in short waves","authors":"L. Goray","doi":"10.1109/DD.2013.6712805","DOIUrl":"https://doi.org/10.1109/DD.2013.6712805","url":null,"abstract":"The paper reports on the electromagnetic solution of scattering from 2D rough surfaces in short waves using boundary integral equations for conical diffraction and Monte Carlo simulations. The general equivalence rule for determination of the efficiencies of reflected orders of bi-gratings from those calculated for classical gratings is derived. The mean differential reflection coefficient of a rough mirror working at an x-ray wavelength under grazing incidence has been computed for the first time using the equivalence formulae.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125864326","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
Diffraction of an elastic wave by the jump inhomogeneity in the elastic layer 弹性层中的跳变不均匀性对弹性波的衍射
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712818
K. Stekhina, D. Tumakov
{"title":"Diffraction of an elastic wave by the jump inhomogeneity in the elastic layer","authors":"K. Stekhina, D. Tumakov","doi":"10.1109/DD.2013.6712818","DOIUrl":"https://doi.org/10.1109/DD.2013.6712818","url":null,"abstract":"The two-dimensional problem of diffraction of an elastic harmonic wave by the jump inhomogeneity in material filling a planar elastic waveguide with rigidly fixed walls is investigated. A special treatment was used to define the inner product. A proof of the theorem of equivalence of the problem to the infinite system of linear algebraic equations is given. The obtained system is solved by the truncation method. An example of numerical results is provided.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"142 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124502321","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
Diffraction of high-frequency grazing wave on grating with screens of different height 不同高度屏栅光栅上高频掠射波的衍射
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712808
A. I. Korolkov, A. Shanin
{"title":"Diffraction of high-frequency grazing wave on grating with screens of different height","authors":"A. I. Korolkov, A. Shanin","doi":"10.1109/DD.2013.6712808","DOIUrl":"https://doi.org/10.1109/DD.2013.6712808","url":null,"abstract":"A 2D problem of diffraction by a periodic diffraction grating composed of absorptive screens is studied. A period of the grating comprises two screens having different heights. The incident wave is assumed to have wavelength short comparatively to the period of the grating, and the incidence angle is assumed to be small. High diffraction orders are neglected, and the parabolic approximation is used to describe the wave process. The embedding formula, which expresses reflection coefficients in terms of the directivity of the edge Green's functions is proven. A spectral equation, which is an ordinary differential equation for the directivities of the edge Green's function is derived. The coefficient of the spectral equation is found by solving an Ordered Exponential (OE) equation numerically.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127678394","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
Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary 热导率高且自由边界速度系数小时相场系统的渐近解
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712815
V. Rudnev
{"title":"Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary","authors":"V. Rudnev","doi":"10.1109/DD.2013.6712815","DOIUrl":"https://doi.org/10.1109/DD.2013.6712815","url":null,"abstract":"We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131453846","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
The application of the method of continued boundary conditions to the problem of wave diffraction on an impedance screen 连续边界条件法在阻抗屏上波衍射问题中的应用
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712811
A. G. Kyurkchan, S. A. Manenkov
{"title":"The application of the method of continued boundary conditions to the problem of wave diffraction on an impedance screen","authors":"A. G. Kyurkchan, S. A. Manenkov","doi":"10.1109/DD.2013.6712811","DOIUrl":"https://doi.org/10.1109/DD.2013.6712811","url":null,"abstract":"Using the method of continued boundary conditions the scalar problem of diffraction of the field produced by the point source on the screen of revolution with variable impedance is solved. We consider the impedance boundary conditions of two types, which in the case of zero impedance are reduced respectively to the Dirichlet or Neumann conditions. The paper discusses both stationary and non-stationary diffraction problems. Numerical results are obtained for the screens of parabolic and spherical shape.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129347676","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
Mathematical model based on the Jeffreys type equation for description of gene expression 基于Jeffreys型方程描述基因表达的数学模型
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712806
I. Gula, A. Samsonov
{"title":"Mathematical model based on the Jeffreys type equation for description of gene expression","authors":"I. Gula, A. Samsonov","doi":"10.1109/DD.2013.6712806","DOIUrl":"https://doi.org/10.1109/DD.2013.6712806","url":null,"abstract":"The classical diffusion model widely used for description of transport processes results, in general, in an infinite velocity of particles propagation. It is hardly applicable to the description of protein transport in biological systems, containing heavy molecules. In the 1950s the Jeffreys type equation was applied to govern the motion of rheological substances. Later, using this equation, the transport problem statement was modified to consider the gene expression in fruit fly embryo, and the model equation for protein concentration was proposed. The numerical solution of the coupled Jeffreys type equations with nonlinear terms is found for description of gap gene expression in early Drosophila embryo development and compared with the experimental data.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"03 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127448713","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
Vavilov-Cherenkov radiation in meta-materials in millimeter wavelength region 毫米波区超材料中的Vavilov-Cherenkov辐射
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712812
G. Naumenko, A. Potylitsyn, I. Shevelev, V. Bleko, V. Soboleva
{"title":"Vavilov-Cherenkov radiation in meta-materials in millimeter wavelength region","authors":"G. Naumenko, A. Potylitsyn, I. Shevelev, V. Bleko, V. Soboleva","doi":"10.1109/DD.2013.6712812","DOIUrl":"https://doi.org/10.1109/DD.2013.6712812","url":null,"abstract":"The Cherenkov radiation of relativistic electrons in the prism of metamaterial was observed in millimeter wavelength region. To choose the parameters of the metamaterial structure, satisfying to the used spectral region, the preliminary measurement of the phase delay by one-dimensional metamaterial structure as a function of the relation of radiation wave length and the structure cell size were performed.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126542716","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
Projection methods for computation of spectral characteristics of weakly guiding optical waveguides 计算弱导光波导光谱特性的投影方法
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712817
A. Spiridonov, E. Karchevskiy
{"title":"Projection methods for computation of spectral characteristics of weakly guiding optical waveguides","authors":"A. Spiridonov, E. Karchevskiy","doi":"10.1109/DD.2013.6712817","DOIUrl":"https://doi.org/10.1109/DD.2013.6712817","url":null,"abstract":"The original problem on surface and leaky eigen-modes of a weakly guiding step-index optical waveguide is considered. The original problem is reduced to a nonlinear spectral problem for the set of weakly singular boundary integral equations. We approximate the integral operator by collocation and Galerkin methods. Their convergence and quality are proved by numerical experiments.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114679229","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: 18
A model of diffusion, based on the equation of the Jeffreys type 一种扩散模型，基于杰弗里斯型方程
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712816
S. Rukolaine, A. Samsonov
{"title":"A model of diffusion, based on the equation of the Jeffreys type","authors":"S. Rukolaine, A. Samsonov","doi":"10.1109/DD.2013.6712816","DOIUrl":"https://doi.org/10.1109/DD.2013.6712816","url":null,"abstract":"The diffusion equation (DE) is widely used for approximate description of non-anomalous diffusion and Brownian motion (BM). However, the DE is wrong in describing the mean-square displacement (MSD) of a particle at small values of time, where the MSD must be ballistic. We consider the equation of the Jeffreys type as a model equation for description of diffusion. We find that the MSD in the framework of this model is the same as that in the BM described by the standard Langevin equation.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"96 2-3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123565719","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
Radiation from a convex equi-phase surface: Malyuzhinets' parabolic equation 凸等相曲面的辐射:Malyuzhinets抛物方程
Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI: 10.1109/DD.2013.6712814
A. Popov
{"title":"Radiation from a convex equi-phase surface: Malyuzhinets' parabolic equation","authors":"A. Popov","doi":"10.1109/DD.2013.6712814","DOIUrl":"https://doi.org/10.1109/DD.2013.6712814","url":null,"abstract":"In this work we study the possibility of applying Malyuzhinets' parabolic equation to the problem of acoustical or electromagnetic wave radiation by a curved conformal antenna. In order to obtain an explicit analytical solution we consider a simplified 2D problem: harmonic wave field produced by equi-phase excitation of a convex body surface. The excitation amplitude may vary slowly from point to point, resulting in diffraction effects that determine the far-field radiation pattern.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123970510","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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