Transcription of Chapter 7. Plane Electromagnetic Waves and Wave …
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Chapter 7. Plane Electromagnetic Waves and Wave …
1 Chapter 7. Plane Electromagnetic Waves and Wave propagation Plane Monochromatic Waves in Nonconducting Media One of the most important consequences of the Maxwell equations is the equations for Electromagnetic wave propagation in a linear medium. In the absence of free charge and current densities the Maxwell equations are The wave equations for and are derived by taking the curl of and For uniform isotropic linear media we have and , where and are in general complex functions of frequency . Then we obtain Since ( ) and, similarly, , Monochromatic Waves may be described as Waves that are characterized by a single frequency.
propagation or the phase velocity is now instead of . Then the wave number is ( ) ( ) Electromagnetic plane wave of frequency and wave vector Suppose an electromagnetic plane wave with direction of propagation to be constructed, where is a unit vector. Then the variable in the exponent must be replaced by , the
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