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现代光电子学(2)

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国家自然科学基金委员会<br />

数理学部实验物理讲习班<br />

介质1<br />

介质2<br />

麦克斯韦方程<br />

H<br />

E<br />

H<br />

E<br />

E = E<br />

x1 x2<br />

H = H<br />

y1 y2<br />

ε E = εω ( ) E<br />

x1 z1<br />

(;) xt (0, H ,0) e<br />

=<br />

1 y1<br />

ik ( x+ k z−ωt) x1 z1<br />

( xt ;) = ( E ,0, E ) e<br />

1 x1 z1<br />

x2 z2<br />

(;) xt (0, H ,0) e<br />

=<br />

2 y2<br />

i( k x+ k z−ωt) ik ( x+ k z−ωt) x2 z2<br />

( xt ;) = ( E ,0, E ) e<br />

2 x2 z2<br />

μ<br />

t<br />

∂H<br />

∇× E =−<br />

∂<br />

i( k x+ k z−ωt) ∂D<br />

∇× H =<br />

∂t<br />

∇⋅ D=∇⋅ H= 0 D= εE<br />

边界条件: 电场切向连续<br />

1 z1 z2<br />

磁场切向相等(传导电流为零)<br />

电位移矢量法向相等(面电荷<br />

密度为零)

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