Non-linear supersymmetric σ-model for diffusive scattering of classical waves with resonance enhancement
Max-Planck-Institut für Kernphysik,
69029 Heidelberg, Germany
2 Université Chouaïb Doukkali, Faculté des Sciences, El Jadida, Morocco
Accepted: 9 February 1998
We derive a non-linear σ-model for the transport of light (classical waves) through a disordered medium. We compare this extension of the model with the well-established non-linear σ-model for the transport of electrons (Schrödinger waves) and display similarities of and differences between both cases. Motivated by experimental work (M. van Albada et al., Phys. Rev. Lett., 66 (1991) 3132), we then generalize the non-linear σ-model further to include resonance scattering. We find that the form of the effective action is unchanged but that a parameter of the effective action, the mean level density, is modified in a manner which correctly accounts for the data.
PACS: 05.45.+b – Theory and models of chaotic systems / 42.25.Bs – Wave propagation, transmission and absorption / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, 1998