ELE 531 Lecture Notes - Lecture 8: Wave Impedance, Propagation Constant, Cutoff Frequency

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In order to determine the field configurations inside the rectangular guide, maxwell"s equations will be solved subject to the appropriate boundary conditions. The dielectric inside the guide is isotropic, linear, homogeneous and source-free; so the maxwell"s equations are: H=( + j ) e= j e e. Ez = j (h x ax+h y a y+h z az) Using the experience and knowledge of em fields concepts, we can replace. E z+ e y= j h x , h x . E z+ j e( h x . 2 e h x+ 2 h x= j e. H z)= j2 2 e h x. To know field configuration in x and y axes we need to determine the z-component first. Taking curl on the first equation of maxwell, we get, Similarly, taking curl on the second equation of maxwell and repeating the above process, we get, Z2 h z+k2 h z=0 and h z.

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