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Proceedings of the Yerevan State University最新文献

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CIRCULAR POLARIZATION IN A $2mathrm{D}$ PERIODIC ARTIFICIAL ANISOTROPIC DIELECTRIC MEDIUM 2数学{D}$周期人工各向异性介质中的圆极化
Proceedings of the Yerevan State University Pub Date : 2023-06-28 DOI: 10.46991/pysu:a/2023.57.2.062
Armen N. Sargsyan
{"title":"CIRCULAR POLARIZATION IN A $2mathrm{D}$ PERIODIC ARTIFICIAL ANISOTROPIC DIELECTRIC MEDIUM","authors":"Armen N. Sargsyan","doi":"10.46991/pysu:a/2023.57.2.062","DOIUrl":"https://doi.org/10.46991/pysu:a/2023.57.2.062","url":null,"abstract":"The phenomenon of polarization rotation in dielectric periodic structures is quite interesting. A similar structure was used in a sample with a 2D artificial periodic structure, where the plane wave propagation method was applied. Anisotropic dielectric constants were obtained, which were used for polarization rotation, and polarization rotation in an anisotropic medium was studied based on the dielectric permittivity of the effective medium. Those relationships, quantities, and parameters depending on the dielectric medium, dielectric permittivity, and 2D periodic structure have been studied and analyzed, which provide control of the degree of anisotropy, i.e. provide a distinction between fast and slow modes, which in turn provide the best polarization rotation per unit length.","PeriodicalId":500357,"journal":{"name":"Proceedings of the Yerevan State University","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135359800","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
ON CORRECT SOLVABILITY OF DIRICHLET PROBLEM IN A HALF-SPACE FOR REGULAR EQUATIONS WITH NON-HOMOGENEOUS BOUNDARY CONDITIONS 半空间中非齐次边界条件正则方程dirichlet问题的正确可解性
Proceedings of the Yerevan State University Pub Date : 2023-06-22 DOI: 10.46991/pysu:a/2023.57.2.044
Mikayel A. Khachaturyan
{"title":"ON CORRECT SOLVABILITY OF DIRICHLET PROBLEM IN A HALF-SPACE FOR REGULAR EQUATIONS WITH NON-HOMOGENEOUS BOUNDARY CONDITIONS","authors":"Mikayel A. Khachaturyan","doi":"10.46991/pysu:a/2023.57.2.044","DOIUrl":"https://doi.org/10.46991/pysu:a/2023.57.2.044","url":null,"abstract":"In this paper we consider the following Dirichlet problem with non-homogeneous boundary conditions in a multianisotropic Sobolev space $W_2^{mathfrak{M}}(R^2 times R_+)$ $$begin{cases} P(D_x, D_{x_3}) u = f(x, x_3), quad x_3 > 0, quad x in R^2, D_{x_3}^s u bigrvert_{x_3 = 0} = varphi_s(x),quad s = 0, dots, m-1. end{cases} $$ It is assumed that $P(D_x, D_{x_3})$ is a multianisotopic regular operator of a special form with a characteristic polyhedron $mathfrak{M}$. We prove unique solvability of the problem in the space $W_2^{mathfrak{M}}(R^2 times R_+)$, assuming additionally, that $f(x, x_3)$ belongs to $L_2(R^2 times R^+)$ and has a compact support, boundary functions $varphi_s$ belong to special Sobolev spaces of fractional order and have compact supports.","PeriodicalId":500357,"journal":{"name":"Proceedings of the Yerevan State University","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136287094","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 MOORE-PENROSE INVERSE OF TRIDIAGONAL SKEW-SYMMETRIC MATRICES. II 三对角斜对称矩阵的moore-penrose逆。2
Proceedings of the Yerevan State University Pub Date : 2023-04-25 DOI: 10.46991/pysu:a/2023.57.2.031
Yuri R. Hakopian, Avetik H. Manukyan, Hamlet V. Mikaelyan
{"title":"THE MOORE-PENROSE INVERSE OF TRIDIAGONAL SKEW-SYMMETRIC MATRICES. II","authors":"Yuri R. Hakopian, Avetik H. Manukyan, Hamlet V. Mikaelyan","doi":"10.46991/pysu:a/2023.57.2.031","DOIUrl":"https://doi.org/10.46991/pysu:a/2023.57.2.031","url":null,"abstract":"This article is the second part of the work started in the previous publication by the authors [1]. The results presented here relate to deriving closed form expressions for the elements of the Moore-Penrose inverse of tridiagonal real skew-symmetric matrices of odd order. On the base of the formulas obtained, an algorithm that is optimal in terms of the amount of computational efforts is constructed.","PeriodicalId":500357,"journal":{"name":"Proceedings of the Yerevan State University","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135222846","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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