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Consider a medium whose refractive index, n (k) is in general a function of k, wavenumber. Show that V, = V,(1- an) n dk, 1. Show that for vacuum, Va = V, and plot the dispersion curve for the medium. 3. Plot the dispersion curve for a non-dispersive medium, and show that, V # V, for such 2. medium

Consider a medium whose refractive index, n (k) is in general a function of k, wavenumber. Show that V, = V,(1- an) n dk, 1. Show that for vacuum, Va = V, and plot the dispersion curve for the medium. 3. Plot the dispersion curve for a non-dispersive medium, and show that, V # V, for such 2. medium

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Consider a medium whose refractive index, n (k) is in general a function of k, wavenumber. k dn Show that V, = Vp(1-) 1. Show that for vacuum, V, = V, and plot the dispersion curve for the medium. 3. Plot the dispersion curve for a non-dispersive medium, and show that, Va + V, for such 2. medium 4. Plot the dispersion curve for cases when a) V, < 0, and b) V, > 0.
Transcribed Image Text:Consider a medium whose refractive index, n (k) is in general a function of k, wavenumber. k dn Show that V, = Vp(1-) 1. Show that for vacuum, V, = V, and plot the dispersion curve for the medium. 3. Plot the dispersion curve for a non-dispersive medium, and show that, Va + V, for such 2. medium 4. Plot the dispersion curve for cases when a) V, < 0, and b) V, > 0.
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