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EN
Plasmon-enhanced photoluminescence of silicon nanocrystals embedded in silicon-rich oxinitride thin film is calculated using finite-difference time-domain simulations. Emitters are represented as point-like dipoles and the photoluminescence enhancement is calculated depending on the emitter's position and polarization with respect to the plasmonic metal nanoparticle placed on top of the layer. We show that the photoluminescence enhancement is dominated by the excitation enhancement even for tuning the metal nanoparticle size to the emission wavelength.
EN
The research reported in an article previously published in this journal is pursued here further on. A staircase profile of the graphical representation of the absolute value of the expression for Bohm-type diffusion in two dimensions is analyzed allowing the suggestion that its shape could be related to the well-known structure of levels of the quantized square of the guiding center radius vector and that this structure could be responsible for the appearance of the successive steps in such a profile. When these considerations are taken into account, the expression for Bohm-type diffusion in two dimensions is normalized according to the formula for the quantized square of the guiding center radius vector and a diffusion coefficient whose value is 4/π times the Bohm diffusion coefficient is obtained for large values of the independent variable.
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