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Theoretical Study and Estimation of Recombination Rate and Photocurrent of Quantum Dot Solar Cell using Homotopy Analysis
摘要： The objective of this study is to develop the numerical model of InGaAs QD solar cell to describe the device characteristics. The developed model is based on Homotopy analysis which provides self-consistent and nonlinear solutions to 3D Poisson and Schrodinger equations. The exact potential and energy profile of the quantum dot accounts for the estimation of current under dark condition. The model is used in photocurrent determination of quantum dot solar cell under 1 Sun, 1.5 AM condition over a range of various solar cell parameters such as optical generation life time, quantum dot concentration and number of quantum dot layer. The quantum wavelength and quantum dot layers are used to calculate the photocurrent, recombination rate and conversion efficiency. The photocurrent has achieved its superiority with optimum quantum dot layers and wavelength. The results obtained show that the photocurrent is strongly sensitive to the above dependences and a good agreement with the experimental results was evidenced.
关键词： quantum dot,poisson equation,Homotopy analysis,solar cell,schrodinger equation
更新于2025-09-19 17:13:59
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Fractional dynamics of an erbium-doped fiber laser model
摘要： In this paper we investigate the model of the time-fractional dynamics of an erbium-doped fiber laser model (TFDEFL) with Liouville–Caputo (LC), Caputo–Fabrizio–Caputo (CFC) and Atangana–Baleanu–Caputo (ABC) time-fractional derivatives. We employ the homotopy analysis transform method (HATM) to calculate approximate solutions for the TFDEFL model. This method gives the solution in the form of a rapidly convergent series that can ensure the convergence in solving the resultant series. We study the convergence analysis of HATM by computing the interval of convergence through the h-curves, the residual error function and the average residual error, respectively. We also show the effectiveness and accuracy of this method by comparing the approximate solutions based upon the LC, CFC and ABC time-fractional derivatives.
关键词： Erbium-doped fiber laser model,Fractional calculus,Fractional derivatives,Analytical solutions,Homotopy analysis transform method
更新于2025-09-11 14:15:04