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Transmission of Magnetic Fields in Three-Dimensional Multilayered Structures
We have extended an earlier two-dimensional (2-D) analysis to provide a relatively simple approach to calculating the transmission of magnetic fields in three-dimensional (3-D) multilayered structures. The approach accommodates complex structures composed of an arbitrary number of layers, each of wh...
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| Published in: | IEEE transactions on magnetics 2008-07, Vol.44 (7), p.1861-1873 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c383t-a4780756b6d0e3ef460ef354e17f7125fdfa188b51f26f9af7119e5f333412483 |
| container_end_page | 1873 |
| container_issue | 7 |
| container_start_page | 1861 |
| container_title | IEEE transactions on magnetics |
| container_volume | 44 |
| creator | Wilton, D.T. Wood, R.W. |
| description | We have extended an earlier two-dimensional (2-D) analysis to provide a relatively simple approach to calculating the transmission of magnetic fields in three-dimensional (3-D) multilayered structures. The approach accommodates complex structures composed of an arbitrary number of layers, each of which may have an arbitrary magnetization direction and anisotropic permeability. The procedure relies on an initial transformation into the 2-D spatial frequency domain and then the use of transmission matrices to relate the fields in the different layers. The approach is general in that it provides a method for finding the field configuration for any set of 3-D magnetic sources embedded in a layered magnetic structure with a linear B-H relationship. In this paper, we concentrate on the analytical formulation and we illustrate the method by using it to determine both the external and internal fields of some relatively simple finite 3-D geometric shapes. We also derive new 3-D expressions for the flux density at the surface of a multilayered magnetic recording medium. In a companion paper, the procedure is applied to examine readback responses for a variety of 3-D magnetic recording configurations. |
| doi_str_mv | 10.1109/TMAG.2008.920524 |
| format | article |
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The approach accommodates complex structures composed of an arbitrary number of layers, each of which may have an arbitrary magnetization direction and anisotropic permeability. The procedure relies on an initial transformation into the 2-D spatial frequency domain and then the use of transmission matrices to relate the fields in the different layers. The approach is general in that it provides a method for finding the field configuration for any set of 3-D magnetic sources embedded in a layered magnetic structure with a linear B-H relationship. In this paper, we concentrate on the analytical formulation and we illustrate the method by using it to determine both the external and internal fields of some relatively simple finite 3-D geometric shapes. We also derive new 3-D expressions for the flux density at the surface of a multilayered magnetic recording medium. 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The approach accommodates complex structures composed of an arbitrary number of layers, each of which may have an arbitrary magnetization direction and anisotropic permeability. The procedure relies on an initial transformation into the 2-D spatial frequency domain and then the use of transmission matrices to relate the fields in the different layers. The approach is general in that it provides a method for finding the field configuration for any set of 3-D magnetic sources embedded in a layered magnetic structure with a linear B-H relationship. In this paper, we concentrate on the analytical formulation and we illustrate the method by using it to determine both the external and internal fields of some relatively simple finite 3-D geometric shapes. We also derive new 3-D expressions for the flux density at the surface of a multilayered magnetic recording medium. In a companion paper, the procedure is applied to examine readback responses for a variety of 3-D magnetic recording configurations.</description><subject>3-D transmission</subject><subject>Anisotropic magnetoresistance</subject><subject>Anisotropic permeability</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Exact sciences and technology</subject><subject>Flux</subject><subject>frequency response</subject><subject>Information storage</subject><subject>layered structures</subject><subject>Magnetic analysis</subject><subject>Magnetic anisotropy</subject><subject>Magnetic domains</subject><subject>Magnetic fields</subject><subject>Magnetic flux</subject><subject>Magnetic permeability</subject><subject>Magnetic recording</subject><subject>Magnetic structure</subject><subject>Magnetism</subject><subject>Magnetization</subject><subject>Materials science</subject><subject>Mathematical analysis</subject><subject>Other topics in materials science</subject><subject>Perpendicular magnetic anisotropy</subject><subject>Physics</subject><subject>Transformations</subject><subject>Two dimensional displays</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp9kbtLxEAQxhdR8Hz0gk0Q1CrnzL6SLcU33GHhWYe93Kyu5BLdTQr_ezecXGFhNczMbz745mPsBGGKCOZqMb9-mHKAcmo4KC532ASNxBxAm102AcAyN1LLfXYQ40dqpUKYsNki2DaufYy-a7POZXP71lLv6-zeU7OKmW-zxXsgym_9mtqRsk02H5reN_abAq2ylz4MdT8Eikdsz9km0vFvPWSv93eLm8d89vzwdHM9y2tRij63siihUHqpV0CCnNRATihJWLgCuXIrZ7Eslwod187YNERDygkhJHJZikN2udH9DN3XQLGvkoGamsa21A2xKgsFCqXGRF78SwpZoBJmBM_-gB_dEJLXpKZ5-qvWIkGwgerQxRjIVZ_Br234rhCqMYVqTKEaU6g2KaST819dG2vbuPTt2sftHQcppSlG7nTDeSLarqXiwAstfgB16Y61</recordid><startdate>20080701</startdate><enddate>20080701</enddate><creator>Wilton, D.T.</creator><creator>Wood, R.W.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20080701</creationdate><title>Transmission of Magnetic Fields in Three-Dimensional Multilayered Structures</title><author>Wilton, D.T. ; Wood, R.W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-a4780756b6d0e3ef460ef354e17f7125fdfa188b51f26f9af7119e5f333412483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>3-D transmission</topic><topic>Anisotropic magnetoresistance</topic><topic>Anisotropic permeability</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Exact sciences and technology</topic><topic>Flux</topic><topic>frequency response</topic><topic>Information storage</topic><topic>layered structures</topic><topic>Magnetic analysis</topic><topic>Magnetic anisotropy</topic><topic>Magnetic domains</topic><topic>Magnetic fields</topic><topic>Magnetic flux</topic><topic>Magnetic permeability</topic><topic>Magnetic recording</topic><topic>Magnetic structure</topic><topic>Magnetism</topic><topic>Magnetization</topic><topic>Materials science</topic><topic>Mathematical analysis</topic><topic>Other topics in materials science</topic><topic>Perpendicular magnetic anisotropy</topic><topic>Physics</topic><topic>Transformations</topic><topic>Two dimensional displays</topic><toplevel>online_resources</toplevel><creatorcontrib>Wilton, D.T.</creatorcontrib><creatorcontrib>Wood, R.W.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) Online</collection><collection>IEEE Xplore</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on magnetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wilton, D.T.</au><au>Wood, R.W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transmission of Magnetic Fields in Three-Dimensional Multilayered Structures</atitle><jtitle>IEEE transactions on magnetics</jtitle><stitle>TMAG</stitle><date>2008-07-01</date><risdate>2008</risdate><volume>44</volume><issue>7</issue><spage>1861</spage><epage>1873</epage><pages>1861-1873</pages><issn>0018-9464</issn><eissn>1941-0069</eissn><coden>IEMGAQ</coden><abstract>We have extended an earlier two-dimensional (2-D) analysis to provide a relatively simple approach to calculating the transmission of magnetic fields in three-dimensional (3-D) multilayered structures. The approach accommodates complex structures composed of an arbitrary number of layers, each of which may have an arbitrary magnetization direction and anisotropic permeability. The procedure relies on an initial transformation into the 2-D spatial frequency domain and then the use of transmission matrices to relate the fields in the different layers. The approach is general in that it provides a method for finding the field configuration for any set of 3-D magnetic sources embedded in a layered magnetic structure with a linear B-H relationship. In this paper, we concentrate on the analytical formulation and we illustrate the method by using it to determine both the external and internal fields of some relatively simple finite 3-D geometric shapes. We also derive new 3-D expressions for the flux density at the surface of a multilayered magnetic recording medium. 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| identifier | ISSN: 0018-9464 |
| ispartof | IEEE transactions on magnetics, 2008-07, Vol.44 (7), p.1861-1873 |
| issn | 0018-9464 1941-0069 |
| language | eng |
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| source | IEEE Xplore (Online service) |
| subjects | 3-D transmission Anisotropic magnetoresistance Anisotropic permeability Cross-disciplinary physics: materials science rheology Exact sciences and technology Flux frequency response Information storage layered structures Magnetic analysis Magnetic anisotropy Magnetic domains Magnetic fields Magnetic flux Magnetic permeability Magnetic recording Magnetic structure Magnetism Magnetization Materials science Mathematical analysis Other topics in materials science Perpendicular magnetic anisotropy Physics Transformations Two dimensional displays |
| title | Transmission of Magnetic Fields in Three-Dimensional Multilayered Structures |
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