HW-2 - 1 Theory of Solids HW-2 Solution By Qifeng Shan...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Theory of Solids HW-2 Solution By Qifeng Shan Ashcroft and Mermin’s book 1-4 Helicon Waves Suppose that a metal is placed in a uniform magnetic field H along the z-axis. Let an AC electric field E e i ω t be applied perpendicular to H . (a) If the electric field is circularly polarized ( E y = ± i E x ) show that Eq. (1.28) must be generalized to , , 1 z x y x c x j j i j E i j (1.61) (b) Show that, in conjunction with (1.61), Maxwell’s equations (1.31) have a solution , , z x y t kz i x E E i E e E E , (1.62) provided that k 2 c 2 = ε ω 2 , where / 1 1 2 i c p (1.63) (c) Sketch ε ( ω ) for ω > 0 (choosing the polarization E y = i E x ) and demonstrate that solutions to k 2 c 2 = ε ω 2 exist for arbitrary k at frequencies ω > ω p and ω < ω c . (Assume the high field condition ω c τ >> 1, and note that even for hundreds of kilogauss, ω p / ω c >> 1.) (d) Show that when ω << ω c the relation between k and ω for the low frequency solution is...
View Full Document

This note was uploaded on 10/04/2011 for the course PHYS 4720 taught by Professor Shan during the Fall '09 term at Rensselaer Polytechnic Institute.

Page1 / 4

HW-2 - 1 Theory of Solids HW-2 Solution By Qifeng Shan...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online