NNSE508_EM-L4_Electrodynamics-1

NNSE508_EM-L4_Electrodynamics-1 - 1 Lecture contents...

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NNSE 508 EM Lecture #4 1 Lecture contents Macroscopic Electrodynamics Propagation of EM Waves in dielectrics and metals
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NNSE 508 EM Lecture #4 2 Maxwell equations describing the “coupling” of electric and magnetic fields Interaction with medium: in most simple cases linear isotropic : Polarization is linear function of electric field Interaction is scalar, local and synchronous Maxwell Equations ev Dq  0 R D E E    B E t    D HJ t 0 B 1 B E ct   J c t D c H 4 1  4 D 0 B [SI] [CGS] DE H B JE 0 R B H H   ;4 P E D E P    ( , ) ( , ) D r t E r t Further in this section the “total” permeability and permittivity will be used
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NNSE 508 EM Lecture #4 3 Maxwell’s Equations for a Isotropic, Linear, Source- Free, and Lossless Medium Obviously, there must be a source for the field somewhere. However, we are looking at the properties of waves in a region far from the source. Wave equations for electromagnetic Waves in a Simple, Source-Free, Lossless Medium The wave equations are not independent. Usually we solve the electric field wave equation and determine H from E using Faraday’s law.         2 2 2 2 2 2 E E E H E t t H H H E H t t               0 0 2 2 2 0 H H t 2 2 2 0 E E t
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NNSE 508 EM Lecture #4 4 Propagation of electromagnetic waves in an isotropic linear, source- free, and lossless medium Solution: plane monochromatic wave (equivalent to harmonic analysis) :
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NNSE508_EM-L4_Electrodynamics-1 - 1 Lecture contents...

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