Mie scattering of magnetic spheres

R.-J. Tarento; K.-H. Bennemann; P. Joyes; J. Van de Walle

doi:10.1103/PhysRevE.69.026606

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Mie scattering of magnetic spheres

R.-J. Tarento¹, K.-H. Bennemann², P. Joyes¹, and J. Van de Walle¹

¹Laboratoire de Physique des Solides, Bâtiment 510, Université d’Orsay, 91405 Orsay cedex, France
²Institute for Theoretical Physics, Freie Universitat Berlin, Arnimallee 14, D-14195 Berlin, Germany

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Phys. Rev. E 69, 026606 – Published 25 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.026606

Abstract

The Mie scattering intensity of a magnetic sphere has been derived by extending the classical Mie scattering approach to a media where the dielectric constant is no more a real number but a tensor with a gyrotropic form. Using a perturbation method the propagation equations of the electromagnetic field are derived. For an incident plane wave the magnetization effect could be detectable. The Mie scattering intensity is analyzed for special incident wave configurations, in particular, for the case where the magnetic field of the incident plane wave is polarized along the magnetization direction. This magnetization effect is most important for the finger pattern of the backscattering intensity. Magnetic Mie scattering is still significant for a magnetic sphere of radius larger than 10 nm.

References (11)

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$ε_{xy}$ due to $λ_{s - o}$ is small. Note, this yields a small Kerr angle. Its effect on the Mie scattering intensity spectrum is relatively strong.
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W.B. Zeper, J.A.M. Greidanus, P.F. Garcia, and C.R. Fincher, J. Appl. Phys. 65, 4971 (1989).

[c1] W. Wernsdorfer, D. Mailly, and A. Benoit, J. Appl. Phys. 87, 5094 (2000).

[c2] R.H. Kodama, J. Magn. Magn. Mater. 200, 359 (1998).

[c3] M. Jamet, W. Wernsdorfer, C. Thirion, D. Mailly, V. Dupuis, P. Mélinon, and A. Pérez, Phys. Rev. Lett. 86, 4676 (2001).

[c4] A.N. Andriotis and M. Menon, Phys. Rev. B 57, 10 069 (1998).

[c5] D. Gerion, A. Hirt, I.M.L. Billas, A. Chatelain, and A.de. Heer, Phys. Rev. B 62, 7491 (2000).

[c6] G. Mie, Ann. Phys. (Leipzig) 25, 377 (1908).

[c7] H.S. Bennett and E.A. Stern, Phys. Rev. 137, A448 (1965).

[c8] S. Visnovsky, M. Nyvlt, V. Prosser, J. Ferré, G. Pénissard, D. Renard, and G. Sczigel, J. Magn. Magn. Mater. 128, 179 (1993).

[c9] $ε_{xy}$ due to $λ_{s - o}$ is small. Note, this yields a small Kerr angle. Its effect on the Mie scattering intensity spectrum is relatively strong.

[c10] P.B. Johnson and R.W. Christy, Phys. Rev. B 9, 5056 (1974).

[c11] W.B. Zeper, J.A.M. Greidanus, P.F. Garcia, and C.R. Fincher, J. Appl. Phys. 65, 4971 (1989).

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Mie scattering of magnetic spheres

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References (11)

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