E Given: Two material regions: material #1 defined within xe (-00,700), y el-00,700), ze(-0,0); material #2 defined with

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E Given Two Material Regions Material 1 Defined Within Xe 00 700 Y El 00 700 Ze 0 0 Material 2 Defined With 1 (278.16 KiB) Viewed 18 times

E Given: Two material regions: material #1 defined within xe (-00,700), y el-00,700), ze(-0,0); material #2 defined within xe (-0,700), ye (-0,700), z e(0,+00) meet at the z = ( plane. The permeabilities for both regions are that of free-space: 4, = Uz = H. E Plots of Eine (z,t) and Erefl (z,t) vs. t (fixed position, z = 0 ) and z (fixed time) are given below: Region #1: EC El vs. t (20) & z: 120 = 1.0473ns, Eref= 8.6083V/m 10 51 Enc@z=0 @ 01 -5 -10 0 0.5 2 t (ns) 10 5 Eel @ z=0 @) ON -10 0 0.5 1.5 2.5 3.5 2 t(ns) 10 "=1 -10 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 z (m) The positive-slope zero-crossing for the time-domain reflected wave Eref (z,t) at the material interface ( z = 0 ) occurs 1.0473ns after the corresponding zero-crossing for the time-domain incident wave Einc (z,t). The amplitudes of Eine (z,t) and Erell (z,t) are 10V/m and 8.6083V/m, respectively. Find: The conductivities and relative permittivities for both regions: 0,, E,1, 02, &,2• Develop analytical relations (as opposed to numerical calculations).