On the Principle Op Invariant Imbedding and Diffuse Reflection from Cylindrical Regions

On the Principle of Invariant Imbedding and Diffuse Reflection from Cylindrical Regions.

Relation between Anderson- and Invariant Imbedding Models for Transport in Finite Chains and Study of Phase- and Delay Time Distributions for Strong Disorder

The invariant imbedding evolution equations for the amplitude reflection and transmission coefficients of a disordered 1D chain are shown to follow from the continuum limit, for weak disorder, of recursion relations between reflection (transmission) coefficients of Anderson chains of N andN−1 atoms embedded in infinite non-disordered chains. We show that various available analytical and numeric...

استفاده از روش Invariant-Imbedding در حال مسائل Unit operation

Theory of the propagation of coupled waves in arbitrarily- inhomogeneous stratified media

– We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the wave equations are effectively one-dimensional. By doing this, we transform the original boundary value problem of coupled second-order differential equati...

Coherently amplifying random medium: Statistics of super-reflection

Light-wave propagation in a randomly scattering but uniformly and coherently amplifying optical medium is analysed for the statistics of the coefficient of reflection r(l) that may now exceed unity, hence super-reflection. Uniform coherent amplification is introduced phenomenologically through a constant negative imaginary part added to the otherwise real dielectric constant of the medium, assu...