Use the matrix solver in a program like Mathematica to solve (3.1.20) for a general k(vector) ,
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Use the matrix solver in a program like Mathematica to solve (3.1.20) for a general k(vector) , and plot ω versus k, for k(vector) in two different directions in the plane. Determine the polarization vector of the two modes in each case.
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K - 2) + -(xo + yo)(e¹(kxa+kya) + e¯i(kxa+k‚a) — 2) 2 +e-i(kxa-kya) - 2) K -w²Myo = Kyo(eikya + e-ikya − 2) + (xo + yo)(ei(kṛa+kya) + e¬i(kça+kya) — 2) 2 K 2(xo-yo)(e¹(ka-ka) té ikxa -w² Mxo Kxo(eik = + K 2(xo -ik xa te (xo — yo)(eª(kxa—kya) -i(ka-kya) — 2). - (3.1.20)
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