Transmission of a TWO step potential

[79nrep]

Homework Statement

Consider the potential:
V(x)
=0 x<0
=V1 0<x<a
=V2 x>a

Where 0<V1<V2 and E>V2

Evaluate the transmission coefficient for the incident wave into the region x>a

Homework Equations

T= 4k0k1/((k0+k1)^2)

The Attempt at a Solution

I have not attempted this. It seems pretty straight forward if there were only ONE step. How does the fact that there are two steps factor into the answer?

Thank you.

 

[nickjer]

You will have 2 boundary conditions which can affect your answer. Since a wave traveling from the far left will interact with both of them, and some of it will reflect back at both steps.

Just solve for the wavefunction with the 2 BC's, and solve for the transmission the way you usually do after that.