振鈞製表image-bipolar.ppt

Image solution and bi-polar solution

bi-polar solution

Image solution ? ?

c

c aa

2l

u V u V 1u V

2l

2u V

0 0

0

1,

4

1cosh

u V c

wherea

0

2 1

00

1( ) (cos )2 1 2

0

0

1cosh( )

2( , ) 2cosh 2cos12 cosh( )2

1sinh( )

2 ,12 sinh( )2

1cosh

n

n

n P

nV Vu

n

nV Ve

n

wherea

Pn (x) is Legendre polynomials

0

0 z0

0 0 0

x

y

O