Workshop09Tlines - ECE 3030: Electromagnetic Fields and...

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Unformatted text preview: ECE 3030: Electromagnetic Fields and Waves Fall 2009 WORKSHOP 9 INSTRUCTOR NOTES: Multi-Layer Dielectrics Reminder: Date: Thursday 10/29 1. There was no Demo 9 Tuesday, October 28 (because of Prelim 2) and no Homework 8. 2. Problem 14.4 A wave of frequency 3 GHz is normally incident of the dielectric slabs shown in Figure 1. Use a Smith Chart to calculate the fraction of incident power that passes through all of the dielectrics and the fraction that is reflected. k & 9 Air 25 2 cm 2cm 4 Figure 1: Dielectric slabs for Problem 14.4. Solution: From left to right we have 1 = / 3, 2 = / 2, and 3 = / 5, with wavelengths of 1 = 3 . 3 cm, 2 = 5 cm, and 3 = 2 cm, and the two given lengths cor- respond to lengths in fractional wavelengths of 0.6, and 0.4. The normalized impedance of the third dielectric is 3 = 3 / 2 = 0 . 4. Plot and go clockwise 0.4 lambda to in- 2 = 0 . 55- j . 57. Un-normalizing and re-normalizing gives (0 . 55- j . 57) 2 3 = 0 . 825- j . 855 Plotting this impedance, and going clockwise 0.1 lambda (i.e., all the way around once plus a tenth more) gives a reflection coefficient magnitude of 0.43. So the fraction ofplus a tenth more) gives a reflection coefficient magnitude of 0....
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This note was uploaded on 01/16/2010 for the course ECE 3030 at Cornell University (Engineering School).

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Workshop09Tlines - ECE 3030: Electromagnetic Fields and...

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