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

2.5

Method of Green function


2 5 method of green function

GreenV

VS V

S S


2 5 method of green function

1

Q


Q 1 2 green v v s

Q=1

2Green

VVS


2 5 method of green function

43VGreen

Green 34 GGreen

3Green


2 5 method of green function

GreenPoissonGreen

1Green

Gauss


V s green

VSGreen


2 5 method of green function

67

Green

GreenGreenV

2

V


Green

S

V

Green


2 5 method of green function

Green

Green Green


2 5 method of green function


Green a v

Green

a) V


2 5 method of green function

b) Green

c)Green

Green


Green gauss

Green

Gauss


Green green s

Green

Green

S


2 5 method of green function

S


2 5 method of green function

Green

4Green

GreenGreen

Green


2 5 method of green function

1Green

Green

GreenGreen


R 0 s v

r=0S V


2 5 method of green function


2 5 method of green function

Green

Green

2Green


2 5 method of green function

z

r1

r2

y

o


3 green

z

R'

r'

R

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y

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x

3 Green


2 5 method of green function


2 5 method of green function

GreenGreen GreenLaplace equation

5Green

[] a, V0


2 5 method of green function

z

R

P(,,z)

P'(',',z')

a

y

V0

x

:


Green1

Green


Green green

Green

Green


S z 0 z

Sz'=0-z'


S r a

S

ra


R 2 z 2 a 2

(R2+z2>>a2 )


Cos 2

cos(-')'2


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