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.
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![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 (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 the
frequency of phonon.
b) Calculate the maximum frequency of the generated phonon.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9a8417f-a6d6-4e09-83ed-5b259c4f3d37%2Fa13037ac-2420-42c2-b363-761fb06313f1%2F4h3g3ac_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 (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 the
frequency of phonon.
b) Calculate the maximum frequency of the generated phonon.
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