Regular Article

Finite difference time domain simulation of arbitrary shapes quantum dots

¹ Department of Physics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran
² Physics Department, Persian Gulf University, Bushehr 75169-13817, Iran

^a e-mail: grezaei@yu.ac.ir

Received: 21 August 2019
Received in final form: 4 September 2019
Published online: 11 November 2019

Abstract

Utilizing the finite difference time domain (FDTD) method, energy eigenvalues of spherical, cylindrical, pyramidal and cone-like quantum dots are calculated. To do this, by the imaginary time transformation, we transform the schrödinger equation into a diffusion equation. Then, the FDTD algorithm is hired to solve this equation. We calculate four lowest energy eigenvalues of these QDs and then compared the simulation results with analytical ones. Our results clearly show that simulation results are in very good agreement with analytical results. Therefore, we can use the FDTD method to find accurate results for the Schrödinger equation.