Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy
The method for solving the boundary-value problem of penetration of monochromatic electromagnetic fields with axial symmetry through the plane screen made from the permalloy is developed. The boundary-value problem is based on the use of differential Maxwell equations and complementary nonlinear dif...
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| Format: | Article |
| Language: | Russian |
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National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2020-06-01
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| Series: | Informatika |
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| Online Access: | https://inf.grid.by/jour/article/view/1041 |
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| _version_ | 1832543196948725760 |
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| author | V. Т. Erofeenko |
| author_facet | V. Т. Erofeenko |
| author_sort | V. Т. Erofeenko |
| collection | DOAJ |
| description | The method for solving the boundary-value problem of penetration of monochromatic electromagnetic fields with axial symmetry through the plane screen made from the permalloy is developed. The boundary-value problem is based on the use of differential Maxwell equations and complementary nonlinear differential equation for the field of magnetization, characterizing the permalloy. Classical boundary conditions of continuity of the tangential components of the fields and complementary boundary conditions for the field of magnetization on the face surfaces of the shield are used. For solution simplification of the boundary-value problem as a result of exclusion value the entering in nonlinear equation second-order infinitesimal, nonlinear task is transformed into linear task. Roots (wave numbers) of a dispersion algebraic equations of four order, which characterizing electromagnetic fields with axial symmetry in layer made from the permalloy, is constructed. The sequences of four forward and four backward counter-propagating electromagnetic waves with axial symmetry in the layer of permalloy is formed. Two-sided boundary conditions connecting electromagnetic fields with axial symmetry on both sides of the screen is constructed. The amplitudes of reflected and transient through the shield electromagnetic fields are calculated. |
| format | Article |
| id | doaj-art-fd1c88d7b94e4f058800b5c15280f312 |
| institution | Kabale University |
| issn | 1816-0301 |
| language | Russian |
| publishDate | 2020-06-01 |
| publisher | National Academy of Sciences of Belarus, the United Institute of Informatics Problems |
| record_format | Article |
| series | Informatika |
| spelling | doaj-art-fd1c88d7b94e4f058800b5c15280f3122025-02-03T11:51:49ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012020-06-0117210311910.37661/1816-0301-2020-17-2-103-119927Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloyV. Т. Erofeenko0Establishment of the Belarusian State University "Research Institute for Applied Problems of Mathematics and Informatics"The method for solving the boundary-value problem of penetration of monochromatic electromagnetic fields with axial symmetry through the plane screen made from the permalloy is developed. The boundary-value problem is based on the use of differential Maxwell equations and complementary nonlinear differential equation for the field of magnetization, characterizing the permalloy. Classical boundary conditions of continuity of the tangential components of the fields and complementary boundary conditions for the field of magnetization on the face surfaces of the shield are used. For solution simplification of the boundary-value problem as a result of exclusion value the entering in nonlinear equation second-order infinitesimal, nonlinear task is transformed into linear task. Roots (wave numbers) of a dispersion algebraic equations of four order, which characterizing electromagnetic fields with axial symmetry in layer made from the permalloy, is constructed. The sequences of four forward and four backward counter-propagating electromagnetic waves with axial symmetry in the layer of permalloy is formed. Two-sided boundary conditions connecting electromagnetic fields with axial symmetry on both sides of the screen is constructed. The amplitudes of reflected and transient through the shield electromagnetic fields are calculated.https://inf.grid.by/jour/article/view/1041mathematical modelstwo-sided boundary conditionsboundary-value problemshielding taskfield of magnetizationdispersing equationelectromagnetic waves with axial symmetrypermalloyanalytical modelingscreen |
| spellingShingle | V. Т. Erofeenko Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy Informatika mathematical models two-sided boundary conditions boundary-value problem shielding task field of magnetization dispersing equation electromagnetic waves with axial symmetry permalloy analytical modeling screen |
| title | Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy |
| title_full | Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy |
| title_fullStr | Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy |
| title_full_unstemmed | Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy |
| title_short | Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy |
| title_sort | mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy |
| topic | mathematical models two-sided boundary conditions boundary-value problem shielding task field of magnetization dispersing equation electromagnetic waves with axial symmetry permalloy analytical modeling screen |
| url | https://inf.grid.by/jour/article/view/1041 |
| work_keys_str_mv | AT vterofeenko mathematicalmodelofpenetrationofcylindricalelectromagneticfieldswithaxialsymmetrythroughtheplanescreenfrompermalloy |