Photoluminescence intensity vs MDMO-PPV thickness for the case of titania (a) and titania (b). The luminescence data for polymer on glass and titania are filled squares and circles, respectively. The model predictions in (a) are the numerical solutions to Eqs. (1) and (2) assuming (dashed) and (solid) and employing the optical properties of the materials used. The model predictions in (b) are given by Eq. (3) assuming .
Optical field intensity for excitation at as a function of position in the heterostructures with of titania (a) and of titania (b). The intensities for the polymer on glass and titania are the dashed and solid lines, respectively.
Predicted photoluminescence vs organic thickness with and without energy transfer (Förster radius of ) for (a) and (b). The luminescence intensities of the organic material without quenching, with diffusion but no energy transfer, and with both diffusion and energy transfer are shown as the lines with filled squares, circles, and triangles, respectively. A model incorporating only diffusion with an effective diffusion length was fitted to the predicted data for the case where energy transfer is present. These model lines cannot be seen as they so closely fit the model predictions incorporating energy transfer. These fits yield effective diffusion lengths of 4.3 and which are found for the 2 and data, respectively.
Exciton density as a function of position in a polymer film for (a) and (b) diffusion lengths. The quenching interface is at , and the radius of is used to properly account for the nonzero size of the molecules. The solid line shows the exciton density in the case where quenching is absent, whereas the dashed and dotted lines show the respective densities when quenching without and with energy transfer is present.
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