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 Electricity and Magnetism Electricity and Magnetism Physics Help Forum Oct 18th 2015, 02:46 PM #1 Junior Member   Join Date: Oct 2015 Posts: 3 Electromagnetic wave propagating in a metal Hi. I've been having trouble with this question for a few days. The question is as follows; "Consider a plane electromagnetic wave with angular frequency ω propagating in a large good metal with electric conductivity s (assume that sigma/omega*epsilon_0 ≫ 1), the wave electric field may be written as E=E_0 exp[omega*t-kz]. The electric field only has an x component. If we assume that the wave number k is real and known, find the expression for the angular frequency (its real and imaginary part) by assuming that the metal has both relative permittivity and relative permeability equal to 1." Using Maxwell's, Ampere's and Ohm's Laws, we find that -k^2 = -epsilon_0*mu_0*omega^2 + j*mu_0*sigma*omega My notes show the logical conclusion of such a question if k is complex and omega is real, but I'm not really sure of how to do the reverse. If sigma/omega*epsilon_0≫1, then the first part of the RHS disappears so that -k^2=j*mu_0*sigma*omega which can be rearranged to get omega = (k^2/(mu_0*sigma))*j I then let omega be complex, so that omega = beta - alpha*j... but I have no idea where to go from here (or if this is even correct). Any help would be appreciated!  Tags electromagnetic, electromagnetics, good metal, metal, plane wave, propagating, wave Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post pranimaboity2050 Advanced Electricity and Magnetism 0 Dec 10th 2014 11:21 PM ling233 Quantum Physics 0 Oct 4th 2014 08:57 AM asi123 Advanced Waves and Sound 1 May 16th 2010 10:59 PM asi123 Advanced Waves and Sound 0 Apr 12th 2010 12:08 PM viciado Advanced Electricity and Magnetism 0 Dec 11th 2009 06:13 AM 