Generalized optical theorems for the reconstruction of Green's function of an inhomogeneous elastic medium.

  title={Generalized optical theorems for the reconstruction of Green's function of an inhomogeneous elastic medium.},
  author={Ludovic Margerin and Haruo Sato},
  journal={The Journal of the Acoustical Society of America},
  volume={130 6},
  • L. Margerin, H. Sato
  • Published 8 March 2011
  • Mathematics
  • The Journal of the Acoustical Society of America
This paper investigates the reconstruction of elastic Green's function from the cross-correlation of waves excited by random noise in the context of scattering theory. Using a general operator equation-the resolvent formula-Green's function reconstruction is established when the noise sources satisfy an equipartition condition. In an inhomogeneous medium, the operator formalism leads to generalized forms of optical theorem involving the off-shell T-matrix of elastic waves, which describes… 

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