THEORETICAL INVESTIGATIONS ON THE LIGHT SCATTERING OF SPHERES. XIII. THE WAVE LENGTH EXPONENT OF DIFFERENTIAL TURBIDITY SPECTRA

Abstract

The exact theory of the wave length exponent of the turbidity is developed for Rayleigh scattering and Debye-scattering and, particularly for Mie-scattering by non-absorbing spheres. The basic exponent n is computed from Mie-turbidity data, reported previously. The actual exponent to be expected in a given dispersed system, n sub o, is found to depend on three additional factors: (1) the rate of change of the turbidity with the relative refractive index of the spheres; (2) the dispersion of the relative refractive index of the spheres; and (3) the refractive index of the medium. The advantages and limitations of an application of the wave length exponent to particle size determinations are discussed and labor saving approximating n(alpha)-relations, suitable for first approximation results on particle si e, are given. The effect of heterodispersion upon the wave length exponent is briefly discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1961
Accession Number
AD0261747

Entities

People

  • Hari L. Bhatnagar
  • Wilfried Heller

Organizations

  • Wayne State University

Tags

DTIC Thesaurus Topics

  • Diffraction
  • Electromagnetic Radiation
  • Electromagnetic Scattering
  • Light Scattering
  • Mie Scattering
  • Particle Size
  • Particles
  • Rayleigh Scattering
  • Refractive Index
  • Scattering
  • Turbidity

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Wave Propagation and Nonlinear Chaotic Dynamics.