Helicon wanes (a) Employ the method of Problem 3 to treat a specimen with only one carrier
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Helicon wanes
(a) Employ the method of Problem 3 to treat a specimen with only one carrier type, say holes in concentration p, and in the limit w << wh = eB/mhc. Show that ε(w) = 4πpe2/mhwwh, where D+ (w) = ε(w)E+ (w). The term ε1 in ε has been neglected.
(b) Show further that the dispersion relation becomes w = (BC/4πpe)K2, the helicon dispersion relation; in CGS. For K = 1 cm–1 and B = 1000G, estimate the helicon frequency in sodium metal. (The frequency is negative; with circular-polarized modes the sign of the frequency refers to the sense of the rotation.)
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From the solution to Problem 3 we have P peEm where we have ...View the full answer
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