Enhanced transmission through quasirandom nanostructured dielectric interfaces via supercritical angle scattering

2007 
Greatly enhanced radiation extraction has been observed through randomly textured interfaces with feature sizes comparable to the wavelength. Ray tracing fails in this regime and a different analytic treatment is presented based on supercritical scattering. A quasiperiodic interface destroys the k∥ invariance, introducing wave numbers shifted by structure period harmonics, and allows transmission for supercritical incidence. Converting the interface boundary conditions into effective current source terms yield simple integral formulas for the transmitted fraction including quasiperiodic, subwavelength surface features with random variation of the feature size and period. Supercritical transmission occurs for single monochromatic wave incidence, regardless of the angle, causing enhanced radiation extraction. Further enhancement follows from multiple bounces between opposed surfaces. The role of phase diffusion during multiple reflections is also addressed.
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