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For a homogeneous dielectric medium with the refractive index of n(w), the corresponding Maxwell's equations in the frequency domain are given by V xE = jwµ,H; v × H = -jwn’ɛ,E; V · E = 0; v · H = 0 %3D %3D If k is the wavevector of a plane wave solution at the frequency w, please determine (a) k in terms of w, (b) the phase velocity vpand the group velocity Vg at the frequency w for the waves propagated in the medium, (c) the first derivative of the group velocity vg with respect to the wavelength 1 is often used as a parameter for the dispersion, D = a(v,') da Please determine the relation between this D parameter and the B2 dispersion parameter.

For a homogeneous dielectric medium with the refractive index of n(w), the corresponding Maxwell's equations in the frequency domain are given by V xE = jwµ,H; v × H = -jwn’ɛ,E; V · E = 0; v · H = 0 %3D %3D If k is the wavevector of a plane wave solution at the frequency w, please determine (a) k in terms of w, (b) the phase velocity vpand the group velocity Vg at the frequency w for the waves propagated in the medium, (c) the first derivative of the group velocity vg with respect to the wavelength 1 is often used as a parameter for the dispersion, D = a(v,') da Please determine the relation between this D parameter and the B2 dispersion parameter.

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For a homogeneous dielectric medium with the refractive index of n(w), the corresponding Maxwell's equations in the frequency domain are given by V x E = jwµ,H; V × H = -jwn’ɛ,E; V · E = 0; V · H = 0 If k is the wavevector of a plane wave solution at the frequency w, please determine (a) |k| in terms of w, (b) the phase velocity vpand the group velocity vg at the frequency w for the waves propagated in the medium, (c) the first derivative of the group velocity vg with d(v7') respect to the wavelength 1 is often used as a parameter for the dispersion, D = da Please determine the relation between this D parameter and the B2 dispersion parameter.
Transcribed Image Text:For a homogeneous dielectric medium with the refractive index of n(w), the corresponding Maxwell's equations in the frequency domain are given by V x E = jwµ,H; V × H = -jwn’ɛ,E; V · E = 0; V · H = 0 If k is the wavevector of a plane wave solution at the frequency w, please determine (a) |k| in terms of w, (b) the phase velocity vpand the group velocity vg at the frequency w for the waves propagated in the medium, (c) the first derivative of the group velocity vg with d(v7') respect to the wavelength 1 is often used as a parameter for the dispersion, D = da Please determine the relation between this D parameter and the B2 dispersion parameter.
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