Multiple scattering of waves by correlated distributions

  • Victor Twersky
Classical Scattering Theory
Part of the Lecture Notes in Physics book series (LNP, volume 130)


Multiple Scattering Elliptic Cylinder Boundary Transition Layer Bulk Parameter Exclusion Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Footnotes and references

  1. [1]
    V. Twersky: “Scattering of waves by two objects,” pp. 361–389 of Electromagnetic Waves, ed. by R.E. Langer (U. Wisconsin Press, 1962); “Multiple scattering by arbitrary configurations in three dimensions,” J. Math. Phys. 3, 83–91 (1962); “Multiple scattering of electromagnetic waves by arbitrary configurations,“ J. Math. Phys. 8, 589–610 (1967); J.E. Burke, D. Censor, V. Twersky: “Exact inverse-separation series for multiple scattering in two-dimensions,” J. Acoust. Soc. Am. 37, 5–13 (1965)Google Scholar
  2. [2]
    V. Twersky: “Propagation parameters in random distributions of scatterers,” J. d' Anal. Math. 30, 498–511 (1976); “Coherent, scalar field in pair-correlated random distributions of aligned scatterers,” J. Math. Phys. 18, 2468–2486 (1977); “Coherent electromagnetic waves in pair-correlated distributions of aligned scatterers,” J. Math. Phys. 19, 215–230 (1978); “Constraint on the compound depolarization factor of aligned ellipsoids,” J. Math. Phys. 19, 2576–2578 (1978)Google Scholar
  3. [3]
    V. Twersky: “On propagation in random media of discrete scatterers,” Proc. Sympos. Appl. Math. 16, 84116 (Am. Math. Soc., Providence, Rhode Island, 1964)Google Scholar
  4. [4]
    V. Twersky: “On scattering of waves by random distributions, II; two-space scatterer formalism,” J. Math. Phys. 3, 724–734 (1962)Google Scholar
  5. [5]
    F. Reiche: “Zur Theorie der Dispersion in Gasen und Dampfen,” Ann. Phys. 50, 1, 121 (1916)Google Scholar
  6. [6]
    L.L. Foldy: “The multiple scattering of waves,” Phys. Rev. 67, 107–119 (1945)Google Scholar
  7. [7]
    M. Lax: “Multiple scattering of waves,” Rev. Mod. Phys. 23, 287–310 (1951); “The effective field in dense systems,” Phys. Rev. 88, 621–629 (1952)Google Scholar
  8. [8]
    J. B. Keller: “Wave propagation in random media,” Proc. Sympos. Appl. Math 13, 227–246 (Am. Math. Soc., Providence, Rhode Island, 1962); “Stochastic equations and wave propagation in random media,” ibid. 16, 145–170 (1964); D.J. Vezzetti, J.B. Keller: “Refractive index, dielectric constant, and permeability for waves in a polarizable medium,” J. Math. Phys. 8, 1861–1870 (1967)Google Scholar
  9. [9]
    Lord Rayleigh: “On the transmission of light through the atmosphere containing small particles in suspension, and on the origin of the color of the sky,” Phil. Mag. 47, 375–383 (1899)Google Scholar
  10. [10]
    V. Twersky: “Multiple scattering of waves and optical phenomena,” J. Opt. Soc. Am. 52, 145–171 (1962); “Interface effects in multiple scattering by large, low-refracting, absorbing particles,” J. Opt. Soc. Am. 60, 908–914 (1970); “Absorption and multiple scattering by biological suspensions,” J. Opt. Soc. Am. 60, 1084–1093 (1970)Google Scholar
  11. [11]
    V. Twersky: “On the scattering of waves by an infinite grating,” IRE Trans. AP-4, 330–345 (1956); “On scattering of waves by the infinite grating of circular cylinders,” AP-10, 737–765 (1962); E.J. Burke, V. Twersky: “On scattering of waves by the infinite grating of elliptic cylinders,” IEEE Trans. AP-14, 465–480 (1966)Google Scholar
  12. [12]
    V. Twersky: “Multiple scattering of sound by a periodic line of obstacles,” J. Acoust. Soc. Am. 53, 96–112 (1973); “Multiple scattering of waves by the doubly periodic planar array of obstacles,” “Lattice sums and scattering coefficients for the rectangular planar array,” “Low frequency coupling in the planar rectangular lattice,” J. Math. Phys. 16, 633–666 (1975)Google Scholar
  13. [13]
    H. Reiss, H.L. Frisch, J.L. Lebowitz: “Statistical mechanics of rigid spheres,” J. Chem. Phys. 31, 369–380 (1959); E. Helfand, H.L. Frisch, J.L. Lebowitz: “The theory of the two-and one-dimensional rigid sphere fluids,” J. Chem. Phys. 34, 1037–1042 (1961)Google Scholar
  14. [14]
    V. Twersky: “Transparency of pair-correlated, random distribution of small scatterers with applications to the cornea,” J. Opt. Soc. Am. 65, 524–530 (1975)Google Scholar
  15. [15]
    V. Twersky: “Acoustic bulk parameters in distributions of pair-correlated scatterers,” J. Acoust. Soc. Am. 64, 1710–1719 (1978)Google Scholar
  16. [16]
    S.K. Bose, A.K. Mai: “Longitudinal shear waves in a fiber-reinforced composite,” Int. J. Solids Structures 9, 1975–1985 (1973)Google Scholar
  17. [17]
    J.G. Fikioris, P.C. Waterman: “Multiple scattering of waves II; hole corrections in the scalar case,“ J. Math. Phys. 5, 1413–1420 (1964)Google Scholar
  18. [18]
    J.C. Maxwell: A Treatise on Electricity and Magnetism (Cambridge, 1873; Dover, New York, 1954)Google Scholar
  19. [19]
    Lord Rayleigh: “On the influence of obstacles arranged in rectangular order upon the properties of a medium,” Phil. Mag. 34, 481–501 (1892)Google Scholar
  20. [20]
    V. Twersky: “Form and intrinsic birefringence,” J. Opt. Soc. Am. 65, 239–245 (1975); “Intrinsic, shape, and configurational birefringence,” to appear in J. Opt. Soc. Am. (1979)Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Victor Twersky
    • 1
  1. 1.Mathematics DepartmentUniversity of IllinoisChicago

Personalised recommendations