(a). Sketch the vectors and show the components of... 1. TE and TM Polarization Let k = k,ê + k,2 where k, = k sin 0, k, = k cos 0, and k = 27/A. Let E = ErE + ErM where ErE = E, and ErM E,&+ E,2. %3D (a) Sketch the vectors and show the components of k, ETE, and ETM on a three-dimensional cartesian coordinate frame. Also show the angle 0 which subtends the k and 2 vectors. (b) Using the relation H = (n/Zo)k x E, determine the r, y, z components of H. (c) Using the above, write expressions for Äre and HrM

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(a). Sketch the vectors and show the
components of...
1. TE and TM Polarization
Let k = k,ê + k,2 where k, = k sin 6, k; = k cos 0, and k = 2n/A.
Let E = Ere + ErM where Erg = E,ŷ and ErM = E,â + E,i.
(a) Sketch the vectors and show the components of k, ETE, and ĒrM on a three-dimensional cartesian coordinate
frame. Also show the angle 0 which subtends the k and ê vectors.
(b) Using the relation H = (n/Zo)k x E, determine the r, y, z components of H.
(c) Using the above, write expressions for HTE and HTM
(d) Let A = 0.5(um), n = 1, Zo = 377[2), E, = 0, and 0 = 15°.
Determine values for the component k, kz, Eg, Ez, H,, Hy, H..
%3D
(e) Sketch a second diagram showing all the above vector components in part (d).
Transcribed Image Text:(a). Sketch the vectors and show the components of... 1. TE and TM Polarization Let k = k,ê + k,2 where k, = k sin 6, k; = k cos 0, and k = 2n/A. Let E = Ere + ErM where Erg = E,ŷ and ErM = E,â + E,i. (a) Sketch the vectors and show the components of k, ETE, and ĒrM on a three-dimensional cartesian coordinate frame. Also show the angle 0 which subtends the k and ê vectors. (b) Using the relation H = (n/Zo)k x E, determine the r, y, z components of H. (c) Using the above, write expressions for HTE and HTM (d) Let A = 0.5(um), n = 1, Zo = 377[2), E, = 0, and 0 = 15°. Determine values for the component k, kz, Eg, Ez, H,, Hy, H.. %3D (e) Sketch a second diagram showing all the above vector components in part (d).
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