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Based on the difference between mean background of an optical samplerefractive index n_0 and an outside medium, n_out, different than n_0, we studythe reflection statistics of a one-dimensional weakly disordered optical mediumwith refractive index n(x)=n_0+dn(x). Considering dn(x) as color noise with theexponential spatial correlation decay length l_c and k as the incident wavevector, 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 tothat of the matched refractive-index case n_0=n_out, i.e., <r(dn, lc)>proportional to <dn^2>l_c. However, the standard deviation of r is proven to bestd(r(dn,l_c)) proportional to sqrt(<dn^2>l_c), which is different from thematched case. Applications to light scattering from layered media andbiological cells are discussed

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