Foldy–Lax approximation on multiple scattering by many small scatterers

References

• Fink , M , Cassereau , D , Derode , A , Prada , C , Roux , P and Tanter , M . 2000 . Time reversed acoustics . Rep. Prog. Phys. , 63 : 1933 – 1994 .
   Web of Science ®Google Scholar
• Blomgren , P , Papanicolaou , G and Zhao , H . 2002 . Super-resolution in time-reversal acoustics . J. Acoust. Soc. Am. , 111 : 230 – 248 .
   PubMed Web of Science ®Google Scholar
• Foldy , LL . 1945 . The multiple scattering of waves. I. General theory of isotropic scattering by randomly distributed scatterers . Phys. Rev. , 67 : 107 – 119 .
   Web of Science ®Google Scholar
• Lax , M . 1951 . Multiple Scattering of waves . Revs. Modern Phys. , 23 ( 4 ) : 287 – 310 .
   Web of Science ®Google Scholar
• Lax , M . 1952 . Multiple scattering of waves. II. The effective field in dense systems . Phys. Rev. , 85 : 621 – 629 .
   Web of Science ®Google Scholar
• Martin , PA . 2006 . Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles , Cambridge : Chaps 1 and 8, Cambridge University Press .
   Google Scholar
• Dassios , G and Kleinman , R . 2000 . Low Frequency Scattering , 1 – 297 . Oxford : Oxford University Press .
   Google Scholar
• Colton , D and Kress , R . 1992 . “ Inverse Acoustic and Electromagnetic Scattering Theory ” . In Applied Mathematical Sciences, Chap. 8 , Vol. 93 , Berlin and Heidelberg GmbH & Co. K : Springer-Verlag .
   Google Scholar
• Martin , PA and Maurel , A . 2008 . Multiple scattering by random configurations of circular cylinders: Weak scattering without closure assumptions . Wave Motion , 45 : 865 – 880 .
   Web of Science ®Google Scholar
• de Vries , P , van Coevorden , DV and Lagendijk , A . 1998 . Point scatterers for classical waves . Revi. Modern Phys. , 70 : 447 – 466 .
   Web of Science ®Google Scholar
• Ramm , AG . 1986 . Scattering by Obstacles , Dordrecht : Chap. 1, Reidel .
   Google Scholar
• Kusiak , S and Sylvester (eds.) , J . 2005 . The convex scattering support in a background medium . SIAM J. Math Anal. , 36 : 1142 – 1158 .
   Web of Science ®Google Scholar
• Egorov , YuV and Shubin (eds.) , MA . 1992 . “ Partial Differential Equations I ” . In Encyclopaedia of Mathematical Sciences , Vol. 30 , 184 – 189 . Berlin and Heidelberg GmbH & Co. K : Springer-Verlag .
   Google Scholar
• Adams , RA . 1975 . Sobolev Spaces, Chap. 5 , New York : Academic Press .
   Google Scholar