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Unformatted text preview: Department of Electrical and Computer Engineering ECSE 352 Electromagnetic Waves and Optics 2.5 Waves in good conductors: the skin effect References: Hayt and Buck 12.4 AGK@2006 2.5-1 Overview Overview We have already looked at the propagation of waves in low loss and lossy dielectrics, but we have not really considered conductors in much detail. In this class we will investigate the concept of the skin depth ; i.e. the distance which a wave penetrates into a conductive medium. We will see that this results in significant implications for conductor design. ECSE 352 2.5-2 Learning outcomes Learning outcomes After taking this class you should be able to: Define skin depth for a conductor Explain the impact that it has on the design of onductors conductors Recognize the implication of the power loss equations ECSE 352 2.5-3 Contents Contents Power loss estimation Approximations for low loss dielectrics and good conductors kin depth Skin depth ECSE 352 2.5-4 Review: lossy media Review: lossy media In a lossy medium with effective conductivity we have a complex propagation constant : ' j j W 1 jk j j REVIEW 2 ' 1 ' j j This goes into the harmonic wave equation: 2 2 ECSE 352 2.5-5 E E Waves in good conductors Waves in good conductors In a good conductor: 1 1 2 2 1 j j j j j 1/ 2 / 2 / 4 1 2 j j j j e e ew expression for ttenuation coefficient: f j ) 1 ( New expression for propagation constant : Attenuation coefficient: f ECSE 352 2.5-6 Skin depth Skin depth Attenuation is very rapid in a conductor...
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- Fall '10