메뉴 건너뛰기




Volumn 465, Issue 2112, 2009, Pages 3581-3604

Magnetostatics of the uniformly polarized torus

Author keywords

Demagnetization factors; Demagnetization field; Magnetostatic energy; Ring torus; Shape anisotropy

Indexed keywords

ANISOTROPY; ASPECT RATIO; EIGENVALUES AND EIGENFUNCTIONS; LAPLACE EQUATION; MAGNETIC SENSORS; MAGNETOSTATICS; PRESSURE DROP; TENSORS;

EID: 73149122302     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2009.0355     Document Type: Article
Times cited : (18)

References (48)
  • 3
    • 0016101270 scopus 로고
    • Micromagnetics of magnetization processes in toroidal geometries
    • doi:10.1109/TMAG.1974.1058423
    • Arrott, A., Heinrich, B. & Bloomberg, D. 1974 Micromagnetics of magnetization processes in toroidal geometries. IEEE Trans. Magn. 10, 950-953. (doi:10.1109/TMAG.1974.1058423)
    • (1974) IEEE Trans. Magn. , vol.10 , pp. 950-953
    • Arrott, A.1    Heinrich, B.2    Bloomberg, D.3
  • 4
    • 0038346089 scopus 로고    scopus 로고
    • On the computation of the demagnetization tensor field for an arbitrary particle shape using a Fourier space approach
    • doi:10.1016/S0304-8853(03)00238-5
    • Beleggia, M. & De Graef, M. 2003 On the computation of the demagnetization tensor field for an arbitrary particle shape using a Fourier space approach. J. Magn. Magn. Mater. 263, L1-L9. (doi:10.1016/S0304-8853(03) 00238-5)
    • (2003) J. Magn. Magn. Mater. , vol.263
    • Beleggia, M.1    De Graef, M.2
  • 5
    • 10044290435 scopus 로고    scopus 로고
    • General magnetostatic shape-shape interactions
    • doi:10.1016/j.jmmm.2004.09.004
    • Beleggia, M. & De Graef, M. 2005 General magnetostatic shape-shape interactions. J. Magn. Magn. Mater. 285, L1-10. (doi:10.1016/j.jmmm.2004.09.004)
    • (2005) J. Magn. Magn. Mater. , vol.285
    • Beleggia, M.1    De Graef, M.2
  • 6
    • 33646507550 scopus 로고    scopus 로고
    • Self-energy and demagnetization factors of the general ellipsoid: A self-contained alternative to the Maxwell-Stoner approach
    • doi:10.1080/14786430600617161
    • Beleggia, M., De Graef, M. & Millev, Y. T. 2006 Self-energy and demagnetization factors of the general ellipsoid: a self-contained alternative to the Maxwell-Stoner approach. Phil. Mag. 86, 2451-2466. (doi:10.1080/ 14786430600617161)
    • (2006) Phil. Mag. , vol.86 , pp. 2451-2466
    • Beleggia, M.1    De Graef, M.2    Millev, Y.T.3
  • 7
    • 61849094818 scopus 로고    scopus 로고
    • Demagnetization factors for cylindrical shells and related shapes
    • doi:10.1016/j.jmmm.2008.11.046
    • Beleggia, M., Vokoun, D. & De Graef, M. 2009 Demagnetization factors for cylindrical shells and related shapes. J. Magn. Magn. Mater. 321, 1306-1315. (doi:10.1016/j.jmmm.2008.11.046)
    • (2009) J. Magn. Magn. Mater. , vol.321 , pp. 1306-1315
    • Beleggia, M.1    Vokoun, D.2    De Graef, M.3
  • 8
    • 33746763011 scopus 로고    scopus 로고
    • The levitron: An adiabatic trap for spins
    • doi:10.1098/rspa.1996.0062
    • Berry, M. V. 1996 The levitron: an adiabatic trap for spins. Proc. R. Soc. Lond. A 452, 1207-1220. (doi:10.1098/rspa.1996.0062)
    • (1996) Proc. R. Soc. Lond. A , vol.452 , pp. 1207-1220
    • Berry, M.V.1
  • 9
    • 0001389022 scopus 로고    scopus 로고
    • Of flying frogs and levitrons
    • doi:10.1088/0143-0807/18/4/012
    • Berry, M. V. & Geim, A. K. 1997 Of flying frogs and levitrons. Eur. J. Phys. 18, 307-313. (doi:10.1088/0143-0807/18/4/012)
    • (1997) Eur. J. Phys. , vol.18 , pp. 307-313
    • Berry, M.V.1    Geim, A.K.2
  • 10
    • 80051592807 scopus 로고
    • Single-domain particles: New uses of old theorems
    • doi:10.1119/1.1935878
    • Brown Jr, W. F. 1960 Single-domain particles: new uses of old theorems. Am. J. Phys. 28, 542-551. (doi:10.1119/1.1935878)
    • (1960) Am. J. Phys. , vol.28 , pp. 542-551
    • Brown Jr., W.F.1
  • 13
    • 84981858954 scopus 로고
    • The fundamental theorem of the theory of fine ferromagnetic particles
    • doi:10.1111/j.1749-6632.1969.tb41269.x
    • Brown Jr, W. F. 1969 The fundamental theorem of the theory of fine ferromagnetic particles. Ann. NY Acad. Sci. 147, 461-488. (doi:10.1111/j.1749- 6632.1969.tb41269.x)
    • (1969) Ann. NY Acad. Sci. , vol.147 , pp. 461-488
    • Brown Jr., W.F.1
  • 14
    • 0034354475 scopus 로고    scopus 로고
    • Developments in determining the gravitational potential using toroidal functions
    • doi:10.1002/ 1521-3994(200012)321:5/6<363::AID-ASNA363>3.0.CO;2-X
    • Cohl, H. S., Tohline, J. E., Rau, A. R. P. & Srivastava, H. M. 2000 Developments in determining the gravitational potential using toroidal functions. Astron. Nachr. 321, 363-372. (doi:10.1002/ 1521-3994(200012)321:5/ 6<363::AID-ASNA363>3.0.CO;2-X)
    • (2000) Astron. Nachr. , vol.321 , pp. 363-372
    • Cohl, H.S.1    Tohline, J.E.2    Rau, A.R.P.3    Srivastava, H.M.4
  • 16
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion, and related problems
    • doi:10.1098/rspa.1957.0133
    • Eshelby, J. D. 1957 The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. A 241, 376-396. (doi:10.1098/rspa.1957.0133)
    • (1957) Proc. R. Soc. Lond. A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 17
    • 0001085508 scopus 로고
    • The elastic field outside an ellipsoidal inclusion
    • doi:10.1098/rspa.1959.0173
    • Eshelby, J. D. 1959 The elastic field outside an ellipsoidal inclusion. Proc. R. Soc. Lond. A 252, 561-569. (doi:10.1098/rspa.1959.0173)
    • (1959) Proc. R. Soc. Lond. A , vol.252 , pp. 561-569
    • Eshelby, J.D.1
  • 19
    • 0036157937 scopus 로고    scopus 로고
    • Finite element calculations on the single-domain limit of a ferromagnetic cube - A solution to μMAG Standard Problem No. 3
    • DOI 10.1016/S0304-8853(01)00876-9, PII S0304885301008769
    • Hertel, R. & Kronmueller, H. 2002 Finite element calculations on the single-domain limit of a ferromagnetic cube: a solution to μMAG standard problem no. 3. J. Magn. Magn. Mater. 238, 185-199. (doi:10.1016/S0304-8853(01) 00876-9) (Pubitemid 34100250)
    • (2002) Journal of Magnetism and Magnetic Materials , vol.238 , Issue.2-3 , pp. 185-199
    • Hertel, R.1    Kronmuller, H.2
  • 20
    • 34648823035 scopus 로고
    • On toroidal functions
    • doi:10.1098/ rstl.1881.0014
    • Hicks, W. M. 1881 On toroidal functions. Phil. Trans. R. Soc. Lond. 172, 609-652. (doi:10.1098/ rstl.1881.0014)
    • (1881) Phil. Trans. R. Soc. Lond. , vol.172 , pp. 609-652
    • Hicks, W.M.1
  • 23
    • 0000562509 scopus 로고
    • Ballistic demagnetizing factor in uniformly magnetized cylinders
    • doi:10.1063/1.1708110
    • Joseph, R. I. 1966 Ballistic demagnetizing factor in uniformly magnetized cylinders. J. Appl. Phys. 37, 4639-4643. (doi:10.1063/1.1708110)
    • (1966) J. Appl. Phys. , vol.37 , pp. 4639-4643
    • Joseph, R.I.1
  • 25
    • 1342295906 scopus 로고
    • The demagnetization tensor of a cylinder
    • doi:10.1007/BF01593828
    • Kraus, L. 1973 The demagnetization tensor of a cylinder. Czech. J. Phys. B 23, 512-519. (doi:10.1007/BF01593828)
    • (1973) Czech. J. Phys. B , vol.23 , pp. 512-519
    • Kraus, L.1
  • 31
    • 0346991661 scopus 로고    scopus 로고
    • Dipolar magnetic anisotropy energy of laterally confined ultrathin ferromagnets: Multiplicative separation of discrete and continuum contributions
    • doi:10.1088/0022-3727/36/23/012
    • Millev, Y. T., Vedmedenko, E. & Oepen, H. P. 2003 Dipolar magnetic anisotropy energy of laterally confined ultrathin ferromagnets: multiplicative separation of discrete and continuum contributions. J. Phys. D 36, 2945-2949. (doi:10.1088/0022-3727/36/23/012)
    • (2003) J. Phys. D , vol.36 , pp. 2945-2949
    • Millev, Y.T.1    Vedmedenko, E.2    Oepen, H.P.3
  • 34
    • 0038057835 scopus 로고
    • Theoretical aspects of demagnetization tensors
    • doi:10.1109/TMAG.1966.1065973
    • Moskowitz, R. & Della Torre, E. 1966 Theoretical aspects of demagnetization tensors. IEEE Trans. Magn. 2, 739-744. (doi:10.1109/TMAG.1966. 1065973)
    • (1966) IEEE Trans. Magn. , vol.2 , pp. 739-744
    • Moskowitz, R.1    Della Torre, E.2
  • 35
    • 36149005204 scopus 로고
    • Demagnetizing factors of the general ellipsoid
    • doi:10.1103/PhysRev.67.351
    • Osborn, J. A. 1945 Demagnetizing factors of the general ellipsoid. Phys. Rev. 67, 351-357. (doi:10.1103/PhysRev.67.351)
    • (1945) Phys. Rev. , vol.67 , pp. 351-357
    • Osborn, J.A.1
  • 36
    • 55749097596 scopus 로고    scopus 로고
    • Stable diamagnetic self-levitation of a micro-magnet by improvement of its magnetic gradients
    • Profijt, H. B., Pigot, C., Reyne, G. R., Grechishkin, R. M. & Cugat, O. 2009 Stable diamagnetic self-levitation of a micro-magnet by improvement of its magnetic gradients. J. Magn. Magn. Mater. 321, 259-262.
    • (2009) J. Magn. Magn. Mater. , vol.321 , pp. 259-262
    • Profijt, H.B.1    Pigot, C.2    Reyne, G.R.3    Grechishkin, R.M.4    Cugat, O.5
  • 38
    • 0001754583 scopus 로고
    • The effect of particle interaction on the coercive force of ferromagnetic micropowders
    • Rhodes, P. & Rowlands, G. 1954 The effect of particle interaction on the coercive force of ferromagnetic micropowders. Proc. Leeds Phil. Liter. Soc. 6, 191.
    • (1954) Proc. Leeds Phil. Liter. Soc. , vol.6 , pp. 191
    • Rhodes, P.1    Rowlands, G.2
  • 41
    • 0023669950 scopus 로고
    • Magnetostatic interaction fields for a three-dimensional array of ferromagnetic cubes
    • doi:10.1109/TMAG.1987.1065775
    • Schabes, M. E. & Aharoni, A. 1987 Magnetostatic interaction fields for a three-dimensional array of ferromagnetic cubes. IEEE Trans. Magn. 23, 3882-3888. (doi:10.1109/TMAG.1987.1065775)
    • (1987) IEEE Trans. Magn. , vol.23 , pp. 3882-3888
    • Schabes, M.E.1    Aharoni, A.2
  • 43
    • 37249055058 scopus 로고    scopus 로고
    • The Newtonian force experienced by a point mass near a finite cylindrical source
    • doi:10.1088/0264-9381/25/1/015013
    • Selvaggi, J. P. 2008 The Newtonian force experienced by a point mass near a finite cylindrical source. Class. Quant. Gravity 25, 015 013. (doi:10.1088/0264-9381/25/1/015013)
    • (2008) Class. Quant. Gravity , vol.25 , pp. 015013
    • Selvaggi, J.P.1
  • 44
    • 0001437904 scopus 로고
    • The demagnetization factors for ellipsoids
    • Stoner, E. C. 1945 The demagnetization factors for ellipsoids. Philos. Mag. 36, 803-821.
    • (1945) Philos. Mag. , vol.36 , pp. 803-821
    • Stoner, E.C.1
  • 45
    • 0000694927 scopus 로고
    • A mechanism of magnetic hysteresis in heterogeneous alloys
    • doi:10.1098/rsta.1948.0007
    • Stoner, E. C. & Wohlfarth, E. P. 1948 A mechanism of magnetic hysteresis in heterogeneous alloys. Phil. Trans. R. Soc. Lond. A 240, 599-642. (doi:10.1098/rsta.1948.0007)
    • (1948) Phil. Trans. R. Soc. Lond. A , vol.240 , pp. 599-642
    • Stoner, E.C.1    Wohlfarth, E.P.2
  • 47
    • 0001557234 scopus 로고
    • The effect of particle interaction on the coercive force of ferromagnetic micropowders
    • doi:10.1098/rspa.1955.0212
    • Wohlfarth, E. P. 1955 The effect of particle interaction on the coercive force of ferromagnetic micropowders. Proc. R. Soc. Lond. A 232, 208-227. (doi:10.1098/rspa.1955.0212)
    • (1955) Proc. R. Soc. Lond. A , vol.232 , pp. 208-227
    • Wohlfarth, E.P.1
  • 48
    • 0004149831 scopus 로고    scopus 로고
    • 5th edn. Champaign, IL: Wolfram Media
    • Wolfram, S. 2003 The mathematica book, 5th edn. Champaign, IL: Wolfram Media.
    • (2003) The Mathematica Book
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.