2 5 method of green function
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§2.5 格林函数法 Method of Green function PowerPoint PPT Presentation


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§2.5 格林函数法 Method of Green function. 格林函数法用 Green 定理来求解静电边值问题的方法。即给定区域 V 内电荷分布 ,和区 域 V 的边界面 S 上各点的电势 或电势法向导数 ,求区域 V 内各点的电势分布。 如果边界条件是给定 S 上的电势 ,这类边值问题称为 第一类边值问题 ,也称 狄利克莱边值问题 ;如果边值(界)条件是给定 S 上的 ,这类边值问题称为 第二类边值问题 ,也称 诺埃曼边值问题 。.

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§2.5 格林函数法 Method of Green function

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2.5

Method of Green function


GreenV

VS V

S S


1

Q


Q=1

2Green

VVS


43VGreen

Green 34 GGreen

3Green


GreenPoissonGreen

1Green

Gauss


VSGreen


67

Green

GreenGreenV

2

V


S

V

Green


Green

Green Green



Green

a) V


b) Green

c)Green

Green


Green

Gauss


Green

Green

S


S


Green

4Green

GreenGreen

Green


1Green

Green

GreenGreen


r=0S V



Green

Green

2Green


z

r1

r2

y

o


z

R'

r'

R

'

R0

y

o

x

3 Green



GreenGreen GreenLaplace equation

5Green

[] a, V0


z

R

P(,,z)

P'(',',z')

a

y

V0

x

:


Green


Green

Green


Sz'=0-z'


S

ra


(R2+z2>>a2 )


cos(-')'2


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