非线性光学讲稿（4）
非线性光学讲稿（4）
非线性光学讲稿（4）
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
dρ<br />
101<br />
2 2<br />
dρ1<br />
= Dρ1<br />
(4.20) = −Dρ1ρ<br />
2 (4.21)<br />
dz<br />
dz<br />
d 2 2<br />
2 2<br />
2 2<br />
[ ρ1<br />
+ ρ2<br />
] = 0 → ρ 1 ( z)<br />
+ ρ2<br />
( z)<br />
= const.<br />
= ρ1<br />
( 0)<br />
+ ρ2<br />
( 0<br />
dz<br />
2<br />
2 2<br />
ρ 2 ( 0)<br />
= 0 ρ 1(<br />
0)<br />
= E1(<br />
0)<br />
→ ρ1 ( z) = E1<br />
( 0)<br />
− ρ2<br />
( z)<br />
dρ2<br />
2 2<br />
= D[<br />
E1<br />
( 0)<br />
− ρ2<br />
( z (4.22)<br />
dz<br />
dv −1 = tanh v<br />
2 →<br />
1−<br />
v<br />
ρ 2(<br />
z ) = iE1(<br />
0)<br />
tanh[ DE1(<br />
0)<br />
z]<br />
ρ1(<br />
z ) = E1(<br />
0)<br />
sech[<br />
DE1(<br />
0)<br />
z]<br />
2<br />
2<br />
2 2 z<br />
E 1(<br />
z)<br />
= | ρ1(<br />
z)<br />
| = E1(<br />
0)<br />
tanh ( ) (4.23)<br />
Ls<br />
2<br />
2<br />
2 2 z<br />
E 2(<br />
z)<br />
= | ρ2<br />
( z)<br />
| = E1(<br />
0)<br />
sech<br />
( ) (4.24)<br />
Ls<br />
1 cn<br />
其中 Ls<br />
= =<br />
(4.25)<br />
DE ( 0)<br />
ωd<br />
E ( 0)<br />
国家自然科学基金委员会<br />
数理学部实验物理讲习班<br />
→ )<br />
因<br />
代入(4.20)→ )]<br />
利用公式: ∫<br />
1<br />
eff<br />
1
Change language