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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 張慶瑞 | |
dc.contributor.author | Yu-Hsin Su | en |
dc.contributor.author | 蘇又新 | zh_TW |
dc.date.accessioned | 2021-06-13T03:21:00Z | - |
dc.date.available | 2006-08-01 | |
dc.date.copyright | 2006-08-01 | |
dc.date.issued | 2006 | |
dc.date.submitted | 2006-07-28 | |
dc.identifier.citation | [1] M. Durlam and P. Naji, A 1-Mbit MRAM Based on 1T1MTJ Bit Cell
Integrated With Copper Interconnects, IEEE J. Solid-State Circuits, vol. 38, no.5, pp. 769-773, May 2003 [2] E. C. Stoner ans E. P. Wohl¤arth,Philos. Trans. R. Soc. London, Ser A 240 (1948 599; reprinted in IEEE Trans. Magn. 27 (1991) 3475 [3] J. S. Yang, Coherent Rotation model, MAMT, vol. 28, pp. 27-37, April 2001. [4] J. D. Jackson, Classical Electrodynamics, 3th ed.,Wiley, New York, 1962. [5] W. R., Static and Dynamic Electricity, 3th ed., McGraw-Hill,New York, 1969 [6] P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for En- gineers and Scientists, 2nd ed.,Springer-Verlag New York Heidelberg Berlin, 1971. [7] V. I. Ivanov and M. K. Trubetskov, Handbook of Conformal Mapping with Computer-Aided Visualization, CRC Press, Inc., 1995. [8] P. K. Kythe, Computational Conformal Mapping, Birkhäuser Boston, 1998. [9] J. S. Yang and H. L. Huang, Calculation of Exact Head and Image Fields of Recording Heads by Conformal Mapping, IEEE Trans. Magn. vol. 25, no. 3, pp. 2761-2768, May 1989. [10] J. S. Yang and Ching-Ray Chang, Exact Field Calculation for Asym- metric Ring Heads, IEEE Trans. Magn. vol. 28, no. 5, pp. 2702-2706, Sep. 1992. [11] J. S. Yang and Ching-Ray Chang, Magnetic Field of an Asymmetric Ring Head with an Underlayer, IEEE Trans. Magn. vol. 29, no. 2, pp. 2069-2072, March 1993. [12] T. A. Driscoll, Algorithm 756: A MATLAB Toolbox for Schwarz- Christo¤el Mapping, ACM Trans. Math. Software, Vol. 22 no. 2, pp. 168-186, June 1996. [13] F. B. Hildebrand, Advanced Calculus for Applications, 2nd., Prentice- Hall, Inc. 1976 [14] F. B. Hildebrand, Methods of Applied Mathematics, 2nd., Prentice-Hall, Inc. 1965 [15] J. S. Yang and C. R. Chang, Spin Dynamics of Unit Cells in Magnetic Gandom Access Memory, IEEE Trans. Magn., Vol. 41, no. 2, pp. 879- 882, Feb. 2005. [16] K. S. Kim, C. E. Lee, and S. H. Lim, E¤ects of the Aspect Ratio of a Word Line on the Self-Field in the Presence of a Keeper Layer, IEEE Trans. Magn. vol. 39, no. 5, pp. 2857-2859, Sep. 2003. [17] K. S. Kim and C. E. Lee, Magnetization reversal under nonuniform mag- netic …elds at conditions relevant to magnetic random access memory applications, Appl. Phys. Lett., vol. 83, no. 18, pp. 3761-3763, Nov. 2003. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/31814 | - |
dc.description.abstract | Abstract
In the structure of Magnetic Random Access Memory (MRAM), there exists orthogonal conducting wires clad with high permeability magnetic materials, and the Tunneling Magnetoresistance (TMR) cells is located between them. By passing the current into wires, they will produce two orthogonal magnetic …elds on the cells, so the magnetic moment of the free layer in TMR will rotate to parallel or antiparallel the magnetic moment of the pinned layer in order to write the cell into 0 or 1. The high permeability magnetic materials is used to concentrate the magnetic flux, once the wires are clad with them, we can pass less current to produce the same magnetic field. It has advantages of saving the power and preventing the current over the load of the wires. The main topic of the thesis is to calculate the magnetic field produced by the conducting wires clad with high permeability magnetic materials. The geometry of the conducting wire and the high permeability magnetic materials is larger in one dimension (along the current direction, say z-direction) than that in the other two dimensions, so we approximately take the two dimensional real space into account. It implies that the magnetic field is independent of z-axis. According to this fact, we make use of one way which transforms the real space into the imaginary space to evaluate the magnetic field on TMR cells. That is 'Schwarz-Christo¤el Transformation'. Schwarz-Christos¤fel Transrmation provides a method that maps the interior of the polygon to the upper-half plane, so we can deal with the problem in the upper-half plane. Finally, we integrate directly the current and the image current source in the real space to obtain the magnetic field. In addition we study the features of magnetic …eld under several kinds of geometry of cladding layer. | en |
dc.description.provenance | Made available in DSpace on 2021-06-13T03:21:00Z (GMT). No. of bitstreams: 1 ntu-95-R93222067-1.pdf: 1025268 bytes, checksum: 32ddfef6948e6085f106edc71d11e506 (MD5) Previous issue date: 2006 | en |
dc.description.tableofcontents | Contents
1 Introduction . . . . . . .. . . . . . . . . . . . .. . .11 1.1 Introduction to MRAM . . . . . . . . . . . . . . . . . . . . . . . . . . .11 1.2 Introduction to coherent rotation . . . . . . . . . . . . . . . . . . . . . . .. . 13 2 The Theory of Applied Mathematics . . . . . . . . . . . 17 2.1 Conformal Mapping . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2 The Schwarz-Christo¤el Transformation . . . . . . . . . . . . . . . . . . . . . 21 3 Calculation of the Magnetic Field . . . . . . . . . . . 27 3.1 Transformthe boundary of cladding layer by S-C Transformation. . . . . . .. . . . . . .. . . . . . .. . 27 3.2 The image current distribution . . . . . . . . . . . . . . . .. . . . . . . 37 3.3 Calculation of the magnetic …field . . . . . . . . . . . . . . . . . . . . . . . .. . 39 3.4 Numerical results . . . . . . . . . . . . . . . . . . . . . . . . . 42 4 Summary. . . . . . . . . . . . . . . . . . . . . . . . .55 | |
dc.language.iso | en | |
dc.title | 磁性層包覆導線之磁場分析 | zh_TW |
dc.title | Analysis of Magnetic Field of the Conducting Line with cladding layer | en |
dc.type | Thesis | |
dc.date.schoolyear | 94-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 楊志信,賴梅鳳 | |
dc.subject.keyword | 磁場分析, | zh_TW |
dc.subject.keyword | analysis,of,magnetic,field, | en |
dc.relation.page | 61 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2006-07-30 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 物理研究所 | zh_TW |
顯示於系所單位: | 物理學系 |
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