In semiconductor devices, the potential retardation effects are completely negligible so

- We can neglect the computation of the magnetic field (at least for the majority of semiconductor devices, but certainly for the Silicon devices)
- We can adopt the stationary description of the electric potential, i.e. we select and calculate only the Poisson equation among the set of Maxwell's equations.

(6.5) |

Actually, if we have a two-dimensional regular finite-difference grid, the discretization of the Poisson will give an algebraic system to solve, which is quite complicated to solve, because the boundary conditions are difficult to implement in a generic simulator such as textbfGNU Archimedes and, furthermore, this algebraic system is consuming from the point of view of computer memory (even if we can use well-known methods applied to sparse matrices).

These reasons have influenced the author of