Exact analysis beats numerical analysis

In principle, analytical solutions of the radiative transfer equation have the advantage that the results are exact compared to numerical solutions and that the computing time is considerably shorter for many applications. At the ILM, exact analytical solutions of the (generalised)

radiative transfer equation were derived, validated and efficiently implemented, resulting in a speed gain of several orders of magnitude compared to numerical methods for many practical applications.

Geometries for which analytical solutions were found

  • Infinitely extended (2D and 3D)
  • Semi-infinit (2D and 3D)
  • Layered (2D and 3D)
  • Circle

These solutions are available for all spatial and spatial frequency domains (continuous wave, frequency and time domains), for all relevant quantities (radiance, fluence, flux, reflection and transmission) and for elastically and inelastically scattered light (fluorescence, Raman).

Analytical solutions
Analytical solutions

Contactpersons

Prof. Dr. Alwin Kienle

Prof. Dr. Alwin Kienle

Director Materials Optics & Imaging

Tel: +49 (0)731 / 1429 224

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