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

Prabhakar Pradhan; Daniel John Park; Ilker Capoglu; Hariharan Subramanian; Dhwanil Damania; Lusik Cherkezyan; Allen Taflove; Vadim Backman

arXiv · 1512.08432

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

Prabhakar Pradhan·Daniel John Park·Ilker Capoglu·Hariharan Subramanian·Dhwanil Damania·Lusik Cherkezyan·Allen Taflove·Vadim Backman

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Abstract

Based on the difference between mean background of an optical sample refractive index n_0 and an outside medium, n_out, different than n_0, we study the reflection statistics of a one-dimensional weakly disordered optical medium with refractive index n(x)=n_0+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 n_0=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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Prabhakar Pradhan, Daniel John Park, Ilker Capoglu, Hariharan Subramanian, Dhwanil Damania, Lusik Cherkezyan, Allen Taflove, Vadim Backman. 2015-12-28. Reflection statistics of weakly disordered optical medium when its mean refractive index is different from an outside medium. https://arxiv.org/abs/1512.08432

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