Topics in Particle and Dispersion Science

Scattering by a homogeneous sphere (Mie theory)

• Introduction
• Overview
• Number of terms in Mie series
• Small-particle limit (Rayleigh)
  • .. overview
  • .. equations
• Algorithms for functions of the refractive index and/or sphere size: a, b, A, and w
• Function A
  • .. tests for
  • .. instability
• Other algorithms for functions a and b
• Algorithms for functions π and τ of the scattering angle
• Test values
• Angular patterns
  • Integration
• Sample matrix elements
• Size-dependent patterns
  • Fourier analysis
  • Integration
    • .. by using Mie sums
    • .. for power-law particle size distribution
    • .. numerical aspects
• Optical resonances
  • .. and ripple
  • .. and surface waves
  • .. applications
  • .. and polydispersions
  • .. in fluorescence
  • .. and gain