Reflection statistics of weakly disordered optical medium when its mean refractive index is different from an outside medium

2015/12/28 by Pradhan, Prabhakar, Park, Daniel John, Capoglu, Ilker +5
#FOS: Physical sciences #Optics (physics.optics)

paper · doi:10.48550/arxiv.1512.08432

Abstract

Based on the difference between mean background of an optical sample refractive index n₀ and an outside medium, n_out, different than n₀, we study the reflection statistics of a one-dimensional weakly disordered optical medium with refractive index n(x)=n₀+dn(x). Considering dn(x) as color noise with the exponential spatial correlation decay length l_c and k as the incident wave vector, our results show that for the small correlation length limit, i.e. k*l_c<1, the average value of reflectance, r, follows a form that is similar to that of the matched refractive-index case n₀=n_out, i.e., proportional to l_c. However, the standard deviation of r is proven to be std(r(dn,l_c)) proportional to sqrt(l_c), which is different from the matched case. Applications to light scattering from layered media and biological cells are discussed

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