## Section 9.2: Exploring Classical and Quantum Scattering

**n1 = V1 = 1:** n2 or V2 = 1 | n2 or V2 = 2 | n2 or V2 = 3 | n2 or V2 = 4 | n2 or V2 = 5

**n2 = V2 = 1:** n1 or V1 = 1 | n1 or V1 = 2 | n1 or V1 = 3 | n1 or V1 = 4 | n1 or V1 = 5

Please wait for the animation to completely load.

This Exploration stresses the similarities and differences between a classical electromagnetic wave incident on a change (an increase or decrease) of index of refraction and a quantum-mechanical plane wave incident on a change (an increase or decrease) in potential energy. Use the check boxes to switch between classical and quantum-mechanical waves to see the result of the sum of the incident and reflected electromagnetic waves in Region I. Restart.

Answer the following questions for both the case of *n*_{1} < *n*_{2} and *n*_{1 }> *n*_{2} and *V*_{1 } < *V*_{2} and *V*_{1 }> *V*_{2}.

- What is the phase of the reflected wave relative to the incident wave in the classical and quantum-mechanical cases?
- What happens to the amplitude of the wave in Region II for the classical and quantum-mechanical cases?
- As
*n*_{2 }>>*n*_{1}and as*V*_{2 }>>*V*_{1}, what does the superposition of the incident and reflected waves look like in the classical and quantum-mechanical cases? - What happens to the wavelength and speed of the electromagnetic wave in Region II as compared to Region I? What happens to the
*curviness*and the momentum of the quantum-mechanical plane wave in Region II as compared to Region I?

Note that the quantum-mechanical case is considered in detail beginning in Section 9.4.

« previous

next »