Statistics – Computation
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jcoph..26..119c&link_type=abstract
Journal of Computational Physics, vol. 26, Feb. 1978, p. 119-138.
Statistics
Computation
5
Boltzmann Transport Equation, Computerized Simulation, Monte Carlo Method, Polarized Light, Radiative Transfer, Random Sampling, Adjoints, Green'S Functions, Rayleigh Scattering, Reciprocal Theorems, Similarity Theorem, Stokes Law Of Radiation
Scientific paper
Equations adjoint to the four coupled transport equations for the Stokes' parameters are derived. A reciprocity relationship is obtained between a Green's function four-vector and an adjoint Green's function four-vector. The reciprocity relation enables a physical interpretation of the similarities and differences between Monte Carlo simulations of the direct and adjoint equations. The adjoint and direct Monte Carlo methods are compared by considering the example of plane-parallel, Rayleigh-scattering, conservative emitting atmospheres with uniform distribution of sources, and the solutions are compared with the exact solution.
Carter Lionel
Horak Henry G.
Sandford Maxwell T. II
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