Past exam of the chemistry course of the year 4 of the natural sciences course of the University of Cambridge / 2022 / Paper 3 / Section F / 46 / a / iv / C

For $E\gg V_0$, expand the reciprocal to obtainRetain the exact $\alpha$ in the bounded oscillatory factor unless a further phase expansion is controlled. Reflection is small, with an oscillatory interference correction of order $(V_0/E{)}^2$. The wavefunction is nearly a travelling wave throughout; its wave number inside is slightly smaller than outside, so its wavelength is slightly larger there. The reflected wave adds weak standing-wave modulation on the incident side.