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plane waves in lossy material

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Presentation on theme: "plane waves in lossy material"— Presentation transcript:

1 plane waves in lossy material
skin depth reflection

2 Maxwell’s equations

3 general properties of linear waves
derive linear wave equation c is determined by the media most general solution two forms of energy

4 Plane waves in a lossy material

5 we cannot neglect the conduction current

6

7

8 The propagation movie

9

10 Waves in metal

11

12

13 f=10 GHz

14 E H E H X E H

15 E H metal X E H

16 boundary conditions for time-varying fields
normal D differ by a surface charge density tangential E is continuous normal B is continuous tangential H differ by a surface current density

17 E H E H Why? E H

18 Etan is continuous E E Htan is continuous X H E H H

19 Reflection coefficient
X E H Transmission coefficient

20 A pulse propagating from one media to another movie

21 impedance meter conductor

22 Reflection from a conductor

23 Special cases short matched open

24 two materials X E H

25 Reflection coefficient for wave from left
Transmission coefficient for wave from left

26 Reflection coefficient for wave from right
Transmission coefficient for wave from right

27 Movie demonstrating reflection and transmission

28 F 22 Special cases matched

29


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