{"title":"The axial-symmetric wave diffraction by finite conical screens in a dielectric sphere","authors":"D. Kuryliak","doi":"10.1109/MMET.1996.565726","DOIUrl":"https://doi.org/10.1109/MMET.1996.565726","url":null,"abstract":"Consider wave diffraction by a finite cone or frustum inside a dielectric sphere. It is known that in the wave diffraction by a finite cone in homogeneous medium, the solution of the problem can be reduced to the linear algebraic infinite equations system (LAIES) which has a convolution operator form in a static limit. The purpose of this paper is to separate the convolution operators in our problems and apply their properties for the regularization procedure.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117346591","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":"Nonlinear best Chebyshev approximations and splines","authors":"B. Popov","doi":"10.1109/MMET.1996.565662","DOIUrl":"https://doi.org/10.1109/MMET.1996.565662","url":null,"abstract":"The necessity of using parametric nonlinear expressions and splines arises because real physical processes are described by many different analytical dependencies. The classic technique of finding the best Chebyshev approximation is also based on nonlinear approximations. But such approximations are not always possible. The author formulates a theorem that allows one to establish the condition of existence of the best Chebyshev approximation of a chosen kind.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131569273","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 quasithree-dimensional problem on excitation of line wire system on a chiral substrate","authors":"G. Goshin, N. Lugina","doi":"10.1109/MMET.1996.565722","DOIUrl":"https://doi.org/10.1109/MMET.1996.565722","url":null,"abstract":"Chiral media have been known for a long time in optics as optically active substance with left and right circularly polarized electromagnetic waves propagating with different phased velocities. Now the interest in chiral media has increased because various applications at microwave frequency have been suggested. However there no papers concerning the investigation of wire systems located on a chiral substrate. Depending on the application, this structure may be considered either a delay system supporting surface waves, a wide-band low-profile chirostrip antenna and an appropriate transmission line with necessary polarization characteristics at microwave frequency. The authors have started theoretical investigation of the new class of plane structures representing combinations of wire system and chiral media.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133100560","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":"Dynamic properties of a quantum-well laser. Numerical research of the one well model","authors":"A. Manshura, I. Sukhoivanov","doi":"10.1109/MMET.1996.565706","DOIUrl":"https://doi.org/10.1109/MMET.1996.565706","url":null,"abstract":"The authors consider the carrier dynamics for a standard GaAs/InGaAsP MQW laser structure. They develop and analyze a one-well laser structure model, and describe the numerical solution of the system of differential equations.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133156777","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":"Synthesis of the surface of reflector antenna for a given power pattern","authors":"P. Savenko, V. J. Anokhin","doi":"10.1109/MMET.1996.565780","DOIUrl":"https://doi.org/10.1109/MMET.1996.565780","url":null,"abstract":"Several problems of synthesis of reflector antennas for a given power pattern are considered. The antenna consists of a cylindrical reflector and radiation source. The problems are solved in the approximation of induced currents. Falling on the reflector, a nonuniform plane wave is supposed to be known in the first problem. The reflector surface is synthesized here. It produces an electromagnetic field with directivity, which is approximate to the given power pattern. The second problem consists in synthesis of the surface of a reflector antenna, where the falling cylindrical wave is formed by a certain excitation source with given directional characteristics. In the third problem, one more degree of freedom is added, i.e. both the shape of the reflector and directivity pattern of the antenna feed (radiation array) are synthesized. The variational statements of the problems are considered. Minimization of the corresponding functionals leads to a solution of the nonlinear integro-differential Euler equations. The methods of solution of the obtained equations are presented. Numerical results of synthesis are considered.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116777674","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":"Method of boundary SIE in diffraction by an array of strips","authors":"M. Samoilenko","doi":"10.1109/MMET.1996.565668","DOIUrl":"https://doi.org/10.1109/MMET.1996.565668","url":null,"abstract":"We discuss the problem of diffraction of a plane electromagnetic wave by a periodic array of thick or thin strips. This problem has become classical not only because of its wide practical application, but also because it reveals various sides of the technique to be investigated. We start with a dual series equation, and, introducing a new function, we eventually come up with a singular integral equation (SIE) on the segment (0,b). The digitization of the integral equation is carried out by means of a Gauss type quadrature formula.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122243211","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":"Asymptotic expansions of the solutions of nonlinear evolution equations","authors":"V. P. Lukomsky, V. Bobkov","doi":"10.1109/MMET.1996.565745","DOIUrl":"https://doi.org/10.1109/MMET.1996.565745","url":null,"abstract":"A lot of methods have been developed for finding approximate periodic solutions of nonlinear equations on the basis of classic perturbation theory. All of them are developed under assuming the nonlinearity to be weak that allows us to separate all of the motions onto fast and slow ones. However the majority of those methods are limited by the first level solutions because of either principal difficulties (the method of averaging) or technical causes connected with the awkward calculations and absence of regular algorithm. Such algorithm is developed in the present work as well as its program realization is carried out. Besides that the weak nonlinearity was shown not to be the necessary condition for separating motions onto fast and slow. It is quite enough to redetermine the parameter of expansion into series within the frame of used spectral method. Such redetermining is shown to lead to expansion that is available in the case of strong nonlinearity for oscillations in conservative systems as well as for stationary processes in self-excited oscillation systems. The developed method is applicable for nonlinear equations describing single-frequency conservative and self-excited oscillation systems with power nonlinearities. In the present work the results of analysis are presented for a single-frequency conservative system are described.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124068242","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":"Radiation of arbitrary signals by plane disk","authors":"O. Dumin, O. Tretyakov","doi":"10.1109/MMET.1996.565704","DOIUrl":"https://doi.org/10.1109/MMET.1996.565704","url":null,"abstract":"The nonsinusoidal waves radiation problem is considered. The Mode Basis Method is accommodated for free space using continuous spectrum parameters. As a result a one-dimensional Klein-Gordon equation is obtained like the evolutionary waveguide equations. The method is examined by a step function radiation problem.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121014869","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 diffraction of video pulses on dielectric slabs","authors":"S. Masalov, O. Puzanov, A. Timchenko","doi":"10.1109/MMET.1996.565651","DOIUrl":"https://doi.org/10.1109/MMET.1996.565651","url":null,"abstract":"This work is dedicated to the consideration of nonstationary excitation of dielectric slabs placed on a dielectric half-space by the Green function method, with the use of Laplace transformation. As a result of the problem solving, compact analytical expressions have been obtained representing the fields diffracted on the stratified dielectric environment in the time-domain. A clear physical interpretation of the behaviour of the fields reflected from the slab is suggested.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134594788","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":"A transfer-matrix formalism for the periodic ferromagnetic media","authors":"Y. Terent'ev, K. Vytovtov","doi":"10.1109/MMET.1996.565772","DOIUrl":"https://doi.org/10.1109/MMET.1996.565772","url":null,"abstract":"In this paper the infinite ferromagnetic semiconductor media that is situated inside the external longitudinal periodic magnetic field is being considered. The mathematical model for incident of propagation of the harmonic electromagnetic waves across this system is considered by the transfer-matrix method. In this paper either it is shown that this model is analogous to the model of the mechanical two-dimensional system.","PeriodicalId":270641,"journal":{"name":"MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132032677","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}