Particle Size Distributions from Fraunhofer Diffraction

  • M. Bertero
  • P. Boccacci
  • C. De Mol
  • E. R. Pike


It is well known1 that the mean intensity per steradian diffracted by a random distribution of N opaque particles is given, in the Fraunhofer region, by
where a i is the radius of the particle i, k is the wave-vector of the radiation and s is the scattering angle. In the absence of noise an annular detector or segment of an annulus will respond with a current g(s) proportional to sI(s).


Singular System Impulse Response Function Fredholm Integral Equation Resolution Ratio Singular Function 
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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • M. Bertero
    • 1
  • P. Boccacci
    • 1
  • C. De Mol
    • 2
  • E. R. Pike
    • 3
    • 4
  1. 1.Dipartimento di FisicaUniversità di Genova and Istituto nazionale di Fisica NucleareGenovaItaly
  2. 2.Département de MathématiqueUniversité Libre de BruxellesBruxellesBelgium
  3. 3.Dept. of PhysicsKing’s CollegeLondonEngland
  4. 4.RSREGreat MalvernEngland

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