ISSN:
1572-9613
Keywords:
Random media
;
energy transport
;
Markov processes
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Scattering effects are considered for radiative transfer within randomly distributed and binary mixtures in one dimension. The most general formalism is developed within the framework of the invariant imbedding method. The lengthL of the random sample thus appears as a new variable. One transmission coefficientT(L) suffices to specify locally the intensities. By analogy with the homogeneous situation, one introduces an effective opacity with 〈T〉=(1+σeff L)−1 fulfilling σeff〈〈σ〉=p 0σ0+p 1σ1(0 and 1 refer, respectively, to the components involved in the mixture). Equality is reached whenL→0, ∞. Otherwise, σeff displays a deep transmission window. It is numerically expressed for three combinations of opacities (σ0,σ1) and average grain sizes (λ0, λ1). These results are of crucial concern in optimizing an ICF compression for a pellet nonuniformly illuminated by intense laser or ion beams.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01023483
Permalink
