Many Body Techniques for Waves Propagating in Random Media
A wave propagating in disordered medium undergoes multiple scattering from inhomogeneities (the wave can be acoustic, electromagnetic, or it can represent an electron wave function). The scattered waves interfere with each other and, as a result, a certain intensity pattern (a speckle pattern) is formed within the sample. This speckle pattern is highly irregular, with large intensity variations over short distances. The irregularities are not due to noise but rather reflect the specific arrangement of the inhomogeneities (impurities) in a particular sample. This is true as long as there is no inelastic scattering within the sample, i.e. the wave propagates coherently through the entire sample (mesoscopic regime).
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