Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314317
P. Savenko, M. Tkach, L. Protsakh
The method of solving of the nonlinear two-dimensional spectral eigenvalue problem is based on reduction of such problem to solving the corresponding Cauchy problem for the linear differential equation of the first order, is developed
{"title":"Implicit Function Method in Solving of Nonlinear Two-Dimensional Spectral Problem","authors":"P. Savenko, M. Tkach, L. Protsakh","doi":"10.1109/DIPED.2006.314317","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314317","url":null,"abstract":"The method of solving of the nonlinear two-dimensional spectral eigenvalue problem is based on reduction of such problem to solving the corresponding Cauchy problem for the linear differential equation of the first order, is developed","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124854825","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314320
V. Tabatadze, D. Kakulia, G. Ghvedashvili, G. Saparishvili, R. Zaridze
A new methodology of remote exploration of buried bodies by means of pulse irradiation is presented. The way to overcome losses and heterogeneities of the earth layers are discussed. The results of some software simulations of surface reconstruction are presented. Further investigation directions are outlined
{"title":"Visualization of the Body Front-Face Area Based on Total Field Reconstruction","authors":"V. Tabatadze, D. Kakulia, G. Ghvedashvili, G. Saparishvili, R. Zaridze","doi":"10.1109/DIPED.2006.314320","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314320","url":null,"abstract":"A new methodology of remote exploration of buried bodies by means of pulse irradiation is presented. The way to overcome losses and heterogeneities of the earth layers are discussed. The results of some software simulations of surface reconstruction are presented. Further investigation directions are outlined","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125026554","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314315
V. Biletskyy, S. Yaroshko
A method of generalized separation of variables allows to decrease complexity of a problem and to represent a solution as a series where each summand depends on every variable independently on others. This method is useful if we can't separate variables by analytic one. In that case we can get an approximate solution with desired property. The most universal method scheme is described in the Voitovich, N. N. et al., (1997). Each step of the method calculates a new member of the series and tries to make the solution of the equation more closely to exact one. In this paper we will deal with three-dimensional integral equations and method of separation of variables for solving it. This method calculates each summand of a series considering minimum of respective functional. Also some numerical results are given
广义分离变量的方法可以降低问题的复杂性，并将解表示为一个级数，其中每个求和依赖于每个变量，而不依赖于其他变量。如果不能用解析法分离变量，这种方法是有用的。在这种情况下，我们可以得到一个近似解。Voitovich, N. N. et al.，(1997)描述了最通用的方法方案。该方法的每一步都计算级数中的一个新成员，并试图使方程的解更接近于精确解。本文将讨论三维积分方程及其解的分离变量法。该方法考虑各函数的最小值来计算级数的和。并给出了一些数值结果
{"title":"A Method of Generalized Separation of Variables for Solving Three-Dimensional Integral Equations","authors":"V. Biletskyy, S. Yaroshko","doi":"10.1109/DIPED.2006.314315","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314315","url":null,"abstract":"A method of generalized separation of variables allows to decrease complexity of a problem and to represent a solution as a series where each summand depends on every variable independently on others. This method is useful if we can't separate variables by analytic one. In that case we can get an approximate solution with desired property. The most universal method scheme is described in the Voitovich, N. N. et al., (1997). Each step of the method calculates a new member of the series and tries to make the solution of the equation more closely to exact one. In this paper we will deal with three-dimensional integral equations and method of separation of variables for solving it. This method calculates each summand of a series considering minimum of respective functional. Also some numerical results are given","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"259 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134127495","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314291
V. Borulko
Bragg structures with distortion of periodicity are considered. Effects of wave scattering are theoretically investigated in wide frequency band. Methods of characteristic matrices and Fourier wave decomposition are used for obtaining frequency and time dependencies of reflected and transmitted wave pulses. Magnitudes and phases of scattered fields are analyzed. Phenomena of anomalous behavior of group delay (superluminal and negative ones) are observed for Bragg structures with different type of distortions
{"title":"Superluminal Tunneling and Negative Group Delay in Layered Bragg Structures","authors":"V. Borulko","doi":"10.1109/DIPED.2006.314291","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314291","url":null,"abstract":"Bragg structures with distortion of periodicity are considered. Effects of wave scattering are theoretically investigated in wide frequency band. Methods of characteristic matrices and Fourier wave decomposition are used for obtaining frequency and time dependencies of reflected and transmitted wave pulses. Magnitudes and phases of scattered fields are analyzed. Phenomena of anomalous behavior of group delay (superluminal and negative ones) are observed for Bragg structures with different type of distortions","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124491370","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314304
M. Andriychuk
Two types of antenna arrays, which are used as the radiating devices in the microwave technique, are examined. The amplitude radiation characteristics of antennas are optimized in a wide frequency band. These characteristics are obtained by means of statement and solution of the appropriate synthesis problems. The variational statement of problems allows to take into account the requirements to the amplitude radiation pattern in the operating frequency band as well as outside of this band. The methods of successive approximations are applied for solving the received nonlinear integral equations, as well as the direct optimization of the used functionals is carried out. The results of numerical modeling are shown
{"title":"Calculation and Optimization of the Antenna Array Radiation Patterns in 3-D Case","authors":"M. Andriychuk","doi":"10.1109/DIPED.2006.314304","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314304","url":null,"abstract":"Two types of antenna arrays, which are used as the radiating devices in the microwave technique, are examined. The amplitude radiation characteristics of antennas are optimized in a wide frequency band. These characteristics are obtained by means of statement and solution of the appropriate synthesis problems. The variational statement of problems allows to take into account the requirements to the amplitude radiation pattern in the operating frequency band as well as outside of this band. The methods of successive approximations are applied for solving the received nonlinear integral equations, as well as the direct optimization of the used functionals is carried out. The results of numerical modeling are shown","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130538783","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314321
O. Kusyi
A body reconstruction method based on finding an orthogonal complement function to a set of patterns scattered on the body at a resonant frequency of its inner domain, is considered. Influence of scattering patterns distortion onto the method accuracy is investigated on numerical examples
{"title":"Body Shape Reconstruction by its Scattering Patterns. Influence of Data Distortion","authors":"O. Kusyi","doi":"10.1109/DIPED.2006.314321","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314321","url":null,"abstract":"A body reconstruction method based on finding an orthogonal complement function to a set of patterns scattered on the body at a resonant frequency of its inner domain, is considered. Influence of scattering patterns distortion onto the method accuracy is investigated on numerical examples","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114245857","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314279
E. Gevorkyan
The propagation of electromagnetic TE waves in the waveguide of arbitrary cross section with space-time periodically modulated filling is considered. The wave equation with periodic coefficients for the potential Hz is solved with help of the double-scale expansion method. The solutions of the wave equation on the transition boundary between the stable and unstable regions are obtained
{"title":"The Application of Double - Scale Expansion Method for the Solving of the Wave Equation with Periodic Coefficients","authors":"E. Gevorkyan","doi":"10.1109/DIPED.2006.314279","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314279","url":null,"abstract":"The propagation of electromagnetic TE waves in the waveguide of arbitrary cross section with space-time periodically modulated filling is considered. The wave equation with periodic coefficients for the potential Hz is solved with help of the double-scale expansion method. The solutions of the wave equation on the transition boundary between the stable and unstable regions are obtained","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124323877","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314306
O. Piddubniak, N. Piddubniak
The pulse stress-strain state of an elastic circular cylinder of infinite length rotating about its axis (acoustic rototron) in water is investigated. The transition and resonance characteristics of acoustic rototrons made from different materials are analyzed
{"title":"Transition and Resonance Processes in the Material of an Acoustic Rototron","authors":"O. Piddubniak, N. Piddubniak","doi":"10.1109/DIPED.2006.314306","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314306","url":null,"abstract":"The pulse stress-strain state of an elastic circular cylinder of infinite length rotating about its axis (acoustic rototron) in water is investigated. The transition and resonance characteristics of acoustic rototrons made from different materials are analyzed","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"141 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131660324","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314296
D. Kakulia, G. Kajaia, G. Ghvedashvili, D. Karkashadze, R. Zaridze
Paper presents results of numerical investigation, which reflect transmission characteristics of dielectric layers with one periodical shape to incident electromagnetic plane waves. Expanded for two dimensional and one periodic problem the method of auxiliary sources (MAS) is applied for numerical simulations
{"title":"Transmission Characteristics of Dielectric Layers with Periodical Dents","authors":"D. Kakulia, G. Kajaia, G. Ghvedashvili, D. Karkashadze, R. Zaridze","doi":"10.1109/DIPED.2006.314296","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314296","url":null,"abstract":"Paper presents results of numerical investigation, which reflect transmission characteristics of dielectric layers with one periodical shape to incident electromagnetic plane waves. Expanded for two dimensional and one periodic problem the method of auxiliary sources (MAS) is applied for numerical simulations","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132240613","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}
Pub Date : 2006-10-01DOI: 10.1109/DIPED.2006.314313
A. D. Polishchuk
Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of double layer potential in the Hilbert space elements of which have a jump through boundary surface were considered in Polishchuk, A. D., 2005. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface
Polishchuk, a . D.， 2005考虑了利用希尔伯特空间中具有跳穿边界面的双层势在R3封闭曲面中构造拉普拉斯边值问题的边界算子的方法。研究了这些算子的性质。现在我们提出了这些方法，并研究了在疲劳边界曲面情况下对应算子的性质
{"title":"Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - II. Using the Double Layer Potential","authors":"A. D. Polishchuk","doi":"10.1109/DIPED.2006.314313","DOIUrl":"https://doi.org/10.1109/DIPED.2006.314313","url":null,"abstract":"Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of double layer potential in the Hilbert space elements of which have a jump through boundary surface were considered in Polishchuk, A. D., 2005. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122307857","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}
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