Electromagnetic Wave Propagation

Maxwells equations

Plane Electromagnetic Wave4.1

1 Maxwells equations

Maxwells equations

0a) 68

86

XCCb)

Fourier2 (9)(10)

(11)Maxwells equations a) Maxwells equationscost

Maxwells equations b) Helmholtz)

0Helmholtz(16)(17)Helmholtz

Maxwells equations

Maxwells equationsHelmholtz3

l f

x>>l A A BC

A

2

Helmholtz

b) 2

c)

d)

a) 4

b)

0

:

4.2 Reflection and Refraction of Monochromatic Plane Electromagnetic Wave at Interface of Medium

Maxwell

2: 1:

1 Law of Reflection and Refraction ( i.e. Phase Relation)

Maxwells equations

a) Faraday)

L1=L2=LS1=S2=S

b)

x-y z = 0

Fourier

z=0 z=0 z=0

xyt

= c) b) a)

n2121 d)

2 Fresnels Formulai.e. Amplitude Relation

a)

y12

b)

, y z=0

4000 8000

1

+ -

+-

2 3

Brewsters angle 4

>1

5 T R

(Total Reflection Critical Angle)

3 Total Reflection) 1 >

z x 22

2

()

2 Sz x

4.3 Electromagnetic Wave Propagation in Conduction Medium

Gauss 1

00 t=0

~10-17

Maxwell equs = 02

(a) :

(b):

(c)

=0

Z

3

a) , R Joule, ,

,Jouleb)

c)

19894 ( )

d)

e)

4 f )

HI EV

R

5

:

4.4 Electromagnetic Wave Propagation in Wave Guide

TEM TEM

(wave guide)TEM 1

abxyz abz :

0

, (

z

u ( x , y )

X(x) Y(y)

ABCD z

a) y = 0Ex= 0

b) y=bEx= 0 . D = 0

c) x = 0

d) x=a

f ) y=0 e) x=0

g) x=a, y=b 5

, :,2TEWTMW ExEyEzHxHyHz m , n)Ez=0

TEW TEW TMWTEWTMWm,nTEmnTMmn

TMW3 a) TEMW

b)

c) mnmnm,nTMTMmnTETEmna,bTEmnTMmnm,n

z zTEmnTMmn (Critical state) (Cut-off frequency)

(Cut-off wavelength)

d) TEmnm=1,2,3,n=0,1,2,m=0,1,2,n=1,2,3,TMmnm=1,2,3,n=1,2,3,TE10TE01TM11

TE10 a>b e)

u

uuga,bm,n uCugC

3 Resonant cavity

xyz u ( x , yz )

1.02MeV,