Mathematics and physical concepts

These pages explain the equations, physical definitions, and approximations behind ARTS calculations. See Guide for interface terminology and usage, and For Developers for build and implementation details.

• Absorption
  • The Stokes Vector
  • Propagation Matrix
  • Sources of Absorption
• Radiative Transfer
  • A single step
  • Multiple steps
  • Propagation-matrix exponential
  • Partial derivatives
  • Layer interpolation options
  • Deriving the expressions
• T-matrix particle scattering
  • Particle size and orientation
  • Amplitude and phase matrices
• DISORT and VDISORT core solvers
  • Geometry and sign conventions
  • Scalar radiative transfer
  • Polarized radiative transfer
  • Sources and boundary conditions
  • Surface reflection
  • Global boundary-value matrix
  • Delta-M scaling
  • Arbitrary-angle radiances
  • Fluxes and heating-rate integrand
  • Mathematical limitations
• Radiative heating rates
  • Optical-depth derivatives
• Optimal estimation
  • Linearization
  • Transforming the Jacobian matrix