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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
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
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
Page Work Licensing Author/Source
2,9,11
Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan
3,10
Jean-Fu Kiang / National Taiwan UniversityThis work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan
5
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