Assume a photon of 5000 Å with an angular frequency (w) and wave vector (K) incident onto a crystal witha refractive index of 1.5. The interaction between the incident photon and the crystal undergoes scattered thephoton from the crystal with an angle (p). Use the velocity of sound in the crystal 5000 m/s and;a) Prove that the angle of scattering is proportional to the ratio between the frequency of photon to thefrequency of phonon.b) Calculate the maximum frequency of the generated phonon.

To answer your question, we will use the principles of the conservation of energy and momentum,…

Assume a photon of 5000 Å with an angular frequency (w) and wave vector (K) incident onto a crystal with a refractive index of 1.5. The interaction between the incident photon and the crystal undergoes scattered the photon from the crystal with an angle (o). Use the velocity of sound in the crystal 5000 m/s and; a) Prove that the angle of scattering is proportional to the ratio between the frequency of photon to the frequency of phonon. b) Calculate the maximum frequency of the generated phonon.

Assume a photon of 5000 Å with an angular frequency (w) and wave vector (K) incident onto a crystal with a refractive index of 1.5. The interaction between the incident photon and the crystal undergoes scattered the photon from the crystal with an angle (o). Use the velocity of sound in the crystal 5000 m/s and; a) Prove that the angle of scattering is proportional to the ratio between the frequency of photon to the frequency of phonon. b) Calculate the maximum frequency of the generated phonon.