Electromagnetics II

Unit 10 ： Dielectric Slab Guide

Lecturer: Professor Jean-Fu Kiang

Text book: N. N. Rao, “Elements of Engineering Electromagnetics,” sixth ed., Pearson, 2004.

1Unless noted, the course materials are licensed under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan (CC BY-NC-SA 3.0)

TE Mode (Even Mode)

2

BC: , are continuous at / 2y zE H x d

Graphic Solution

3

Guided Power

4

/ 2

/ 2

/ 2

x d

x d

x d

0

ˆ zz

Total Reflection at Boundary Surfaces

5

: Goos-Hanschen phase shift

Cutoff Condition

6

2

21

1

1

1

At cutoff: 0

tan 02

22

x

xx

x

x

x

d

dn

n

d

TE Mode (Odd Mode)

7

BC: , are continuous at / 2y zE H x d

Graphic Solution

8

1 1 21 2cot

2 2 2x x xd d d

y y

TM Mode (Even Mode)

9

yH

2 2 2 2 21 2 0 1 2 2 0 1 2 1( ) ( )x x x x

BC: , are continuous at / 2y zH E x d

Graphic Solution

10

TM Mode (Odd Mode)

11

/ 2

/ 2

/ 2

x d

x d

x d

yH

2 2 2 2 21 2 0 1 2 2 0 1 2 1( ) ( )x x x x

2 221

1 0 1 2 11 2

1cot ( )

2 2 2 2x

x x

d d d d

BC: , are continuous at / 2y zH E x d

Graphic Solution

Copyright Declaration

13

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Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

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Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

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Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

Copyright Declaration

14

Page Work Licensing Author/Source

6

Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

8,12

Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan