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Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.

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Presentation on theme: "Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni."— Presentation transcript:

1 Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, Illinois, USA Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India

2 4.4 Wave Equation and Solution for Material Medium

3 Waves in Material Media

4 Combining, we get Define Then Wave equation

5 Solution:

6 attenuation attenuation a = attenuation constant, Np/m b = phase constant, rad/m

7

8

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10 Summarizing, conversely,

11 Example: Solution:

12

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