Wave packet scattering in porous planar semiconductor channel

In this work, we investigate the dynamics of the wave packet traveling through a porous semiconductor channel, with the defects being simulated by a disordered scattering region produced by obstruction potentials. The theoretical framework is based on the $split-operator$ technique to solve the time-dependent Schr$\ddot{o}$dinger equation within the effective mass approximation. In our simulation, we consider the semiconductor channel made by InGaAs with a width of 100 angstrom, growth on an InAlAs substrate, and the porous ones with circular symmetry and different densities. The results for the current probability density and reflection, and transmission coefficients are analyzed for different initial values of the kinetic energy of the Gaussian wave packet, disordered pore densities, and pore randomness.