Abstract
We study the coherent reflectance of electromagnetic waves from a random system of identical spheres with radius comparable to the wavelength of the incident radiation. An effective-medium theory for this system is developed and it is found that the effective-medium must posses an effective magnetic permeability, even if the spheres are nonmagnetic, in order to be consistent with continuum electrodynamics. The physical origin of this magnetic effect is discussed and we conclude that it is due to the induction of closed currents in the spheres, being then analogous to the mechanism proposed by Ampère when he tried to explain the origin of magnetism. It turns out that the effective magnetic permeability as well as the effective electric permittivity depend on the angle of incidence and the polarization of the incident wave. We derive formulas for the coherent reflectance from a half-space and display numerical results.
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References
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Barrera, R.G., Garcia-Valenzuela, A. (2003). Amperian Magnetism In the Dynamic response of granular materials. In: Macias, A., Uribe, F., Diaz, E. (eds) Developments in Mathematical and Experimental Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0207-4_14
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DOI: https://doi.org/10.1007/978-1-4615-0207-4_14
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