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
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(3.73) |
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(3.74) |
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(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