Invariance property in inhomogeneous scattering media with refractive-index mismatch

Abstract

The mean path length invariance property is a very important property of scattering media illuminated by an isotropic and homogeneous radiation. Here we investigate the case of inhomogeneous media with refractive index mismatch between the external environment and also among their subdomains. The invariance property remains valid by the introduction of a correction, dependent on the refractive index, of the mean path length value. It is a consequence of the stationary solution of the radiative transfer equation in a medium subjected to an isotropic and homogeneous radiance. The theoretical results are in agreement with the reported results for numerical simulations for both the three-dimensional and the two-dimensional media.

References in corpus (14)

• Experimental evidence of replica symmetry breaking in random lasers
• Random lasers, Lévy statistics and spin glasses: Synergy between photonics and complex systems
• Mean path length invariance in multiple light scattering
• Experimental and theoretical investigation of statistical regimes in random laser emission
• Invariance property of wave scattering through disordered media
• Enhanced Absorption of Waves in Stealth Hyperuniform Disordered Media
• Invariance properties of bacterial random walks in complex structures
• Path length enhancement in disordered media for increased absorption
• Multiple scattering of light in superdiffusive media
• Properties of branching exponential flights in bounded domains
• Statistical outliers in random laser emission
• Invariance property in scattering media and absorption
• Universal properties of branching random walks in confined geometries
• Superdiffusive random laser

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