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Reflection statistics have not been well studied for optical random mediawhose mean refractive indices do not match with the refractive indices of theirsurrounding media. Here, we theoretically study how this refractive indexmismatch between a one dimensional (1D) optical sample and its surroundingmedium affects the reflection statistics in the weak disorder limit, when thefluctuation part of the refractive index (dn) is much smaller than the mismatchas well as the mean refractive index of the sample (dn << <n>). In thetheoretical derivation, we perform a detailed calculation that results in theanalytical forms of mean and standard deviation (STD) of the reflectance interms of disorder parameters (dn and lc) in an index mismatched backscatteringsystem. Particularly, the orders of disorder parameters in STD of thereflectance for index mismatched systems is shown to be lower ( (<dn^2> lc)^1/2 ) than that of the matched systems (<dn^2> lc). By comparing STDs of thereflection coefficient of index matched and mismatched systems, we show thatreflectance at the sample boundaries in index mismatched systems can enhancethe signal of the STD to the disorder parameters of the reflectance. In termsof biophotonics applications, this result can lead to potential techniques thateffectively extract the sample disorder parameters by manipulating the indexmismatch conditions. Potential applications of the technique for enhancement insensitivity of cancer detection at single cell level are also discussed.

Enhancing the sensitivity of mesoscopic light reflection statistics in weakly disordered media by interface reflections