If an arbitrary potential barrier is segmented into N regions with constant
potentials (see Fig. 3.9) the wave function in each region can be written as
the sum of an incident and a reflected wave [93]
with the wave number
. The wave amplitudes , , the
carrier mass , and the potential energy are assumed constant for
each region . With the interface conditions for energy and momentum
conservation
(3.73) | |||
(3.74) |
(3.76) |
If it is assumed that there is no reflected wave in Region N and the amplitude of the incident wave is unity, (3.77) simplifies to
A. Gehring: Simulation of Tunneling in Semiconductor Devices