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Theory of the Elastic and Inelastic Scattering of Light by Magnetic Crystals. I. First‐Order Processes
Author(s) -
le Gall H.,
Jamet J. P.
Publication year - 1971
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220460202
Subject(s) - physics , condensed matter physics , faraday effect , hamiltonian (control theory) , photon , photon polarization , scattering , raman scattering , inelastic scattering , polarization (electrochemistry) , magnetic field , quantum mechanics , raman spectroscopy , chemistry , mathematical optimization , mathematics
A quantum description of the different magneto‐optical interaction is obtained using the second quantization notation in the spin‐dependent dielectric Hamiltonian of the crystal. It is shown that the Faraday, Kerr, Cotton‐Mouton, and spin Raman effects due to paraor ferromagnetic spins, which generally in the literature appear as distinct processes, may be described actually with a common spin–photon interaction Hamiltonian. From this Hamiltonian the magneto‐optical interactions may be separated into two groups corresponding to either an elastic or an inelastic spin‐photon scattering. The physical and analytical relations between these interactions, the general properties of susceptibilities, and polarization rules are deduced from the microscopic concept of the scattering of photons by magnetic crystals. It is shown that the Faraday effect, which is usually investigated from the circular birefringence of a macroscopic field, can be described as an elastic scattering of photons with a π/2 spatial rotation of their polarization vectors.