Light Propagation in a Magnetic Field: Random Green Matrix Approach
F.A. Pinheiro a , M. Rusek b , A. Or³owski b and B.A. van Tiggelen a
a CNRS/Laboratoire de Physique et Modelisation des Milieux Condenses Universite Joseph Fourier, Maison des Magisteres B.P. 166 38042 Grenoble Cedex 9, France
b Instytut Fizyki, Polska Akademia Nauk, al. Lotników 32/46, 02-668 Warszawa, Poland
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Received: November 5, 2003; revised version January 20, 2004
We studied the spectral properties of the matrices describing multiple scattering of electromagnetic waves from randomly distributed point-like magneto-optically active scatterers under an external magnetic field B. We showed that the complex eigenvalues of these matrices exhibit some universal properties such as the self-averaging behavior of their real parts, as in the case of scatterers without magneto-optical activity. However, the presence of magneto-optically active scatterers is responsible for a striking particularity in the spectra of these matrices: the splitting of the values of the imaginary part of their eigenvalues. This splitting is proportional to the strength of the magnetic field and can be interpreted as a consequence of the Zeeman splitting of the energy levels of a single scatterer.
DOI: 10.12693/APhysPolA.105.339
PACS numbers: 42.25.Dd, 78.20.Ls