Transcription of Uniform Plane Waves - Rutgers University
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Uniform Plane Waves - Rutgers University
38 2. Uniform Plane Waves Because also z Ez = 0, it follows that Ez must be a constant, independent of z, t. 2 Excluding static solutions, we may take this constant to be zero. Similarly, we have Hz = 0. Thus, the elds have components only along the x, y directions: E(z, t) = x Ex (z, t)+y Ey (z, t). Uniform Plane Waves H(z, t) = x Hx (z, t)+y Hy (z, t). (transverse elds) ( ). These elds must satisfy Faraday's and Ampe re's laws in Eqs. ( ). We rewrite these equations in a more convenient form by replacing and by.
Uniform Plane Waves 2.1 Uniform Plane Waves in Lossless Media The simplest electromagnetic waves are uniform plane waves propagating along some fixed direction, say the z-direction, in a lossless medium {,μ}. The assumption of uniformity means that the fields have no dependence on the transverse coordinates x,yand are functions only of z,t.
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