In this study, Monte Carlo (MC) simulation is conducted with recurrence relation to study the effect of SiO 2 with different particle size and their roles in enhancing the ionic conductivity and lithium transference number of PMMA composite polymer electrolytes (CPEs). The MC simulated ionic conductivity is verified with the measurements from Electrochemical Impedance Spectroscopy (EIS). Then, the lithium transference number of CPEs is calculated using recurrence relation with the MC simulated current density and the reference transference number obtained. Incorporation of micron-size SiO 2 (≤10 µm) fillers into the mixture improves the ionic conductivity from 8.60×10 -5 S/cm to 2.35×10 -4 S/cm. The improvement is also observed on the lithium transference number, where it increases from 0.088 to 0.3757. Furthermore, the addition of nano-sized SiO 2 (≤12 nm) fillers further increases the ionic conductivity up towards 3.79×10 -4 S/cm and lithium transference number of 0.4105. The large effective surface area of SiO 2 fillers is responsible for the improvement in ionic conductivity and the transference number in PMMA composite polymer electrolytes.

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A random response time model to compute the statistics of the avalanche buildup time of double-carrier multiplication in avalanche photodiodes (APDs) using full band structure Monte Carlo (FBMC) method is discussed. The effect of feedback impact ionization process and the dead-space effect on random response time are included in order to simulate the speed of APD. The time response of InP p+-i-n+ diodes with the multiplication region of 0.2μm is presented. Finally, the FBMC model is used to calculate the current impulse response of the thin InP p+-i-n+ diodes with multiplication lengths of 0.05 and 0.2μm using Ramo’s theorem [Proc. IRE 27, 584 (1939)]. The simulated current impulse response of the FBMC model is compared to the results simulated from a simple Monte Carlo model.

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