Write down the Christoffel wave equation for a wave in a cubic crystal propagating along the 111 direction For the choice C 11 1, C 12 C 44 0 5, and 1, use a program like Mathematica to find the eigenvectors of this matrix, which correspond to the polarizations of the propagating waves, and the velocity of each polarization

Question: Write down the Christoffel wave equation for a wave in a cubic crystal propagating along the [111] direction. For the choice C 11 = 1,

Write down the Christoffel wave equation for a wave in a cubic crystal propagating along the [111] direction. For the choice C₁₁ = 1, C₁₂ = C₄₄ = 0.5, and ρ = 1, use a program like Mathematica to find the eigenvectors of this matrix, which correspond to the polarizations of the propagating waves, and the velocity of each polarization.

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Since the wave is propagating in the 111 direction all three k components are equal ie k3 thus kjkm ... View full answer

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