Transmission eigenvalues in random media with surface reflection

Article

关键词: INTERNAL-REFLECTION;    DISORDERED WIRES;    SCALING THEORY;    LOCALIZATION;    EQUIVALENCE;    SCATTERING;    TRANSPORT;    WAVES;    LIGHT;    TIME;   

DOI  :  10.1103/PhysRevB.88.094202

来源: SCIE

【 摘 要 】

The impact of surface reflection on the statistics of transmission eigenvalues is a largely unexplored subject of fundamental and practical importance in statistical optics. Here, we develop a first-principles theory and confirm numerically that the distribution of transmission eigenvalues of diffusive waves exhibits a nonanalytic transition as the strength of surface reflection at one surface passes through a critical value while that at the other is fixed. Above the critical value, the highest transmission eigenvalue is strictly smaller than unity and decreases with increasing internal reflection. When the input and output surfaces are equally reflective, the highest transmission eigenvalue is unity and the transition disappears irrespective of the strength of surface reflection.

【 授权许可】

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