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)
る。(3)式は伝播による振幅、位相変化係数 K1,2 を含んでいないので、ピンホール Q1,Q2に
おける強度を表している。また(4)式右辺第一項と第二項はそれぞれピンホール Q1,Q2か
らの光波が別々に Q に影響を及ぼす強度であり、
222
2
111
)1( ,IKKQIIKKQI
と表そう。
ある瞬間に、
V
1(
t
)、
V
2(
t
)間の位相関係がランダムであれば、時間平均の結果、(4)
式第三項は消えてしまう。これはインコヒーレントな状態に当たる。もし、
V
1(
t
)、
V
2(
t
)間
に何らかの位相関係(相関が)が存在すれば、単純な2光源によるインコヒーレント和は
成立しなくなり、より複雑な扱いが必要になる。この考え方がコヒーレンシーを扱う場合
の基本となる。この(4)式第三項はコヒーレンス計算を行う場合に重要な役割を演じる。
そこで、
12 tt と置いて、
tVtV
2112
-(5)
を、相互コヒーレンス度(mutual coherence)として定義する。二つの光波
V
1(
t
)、
V
2(
t
)
の波動としての類似性を、二つの波動間に、時間差 τ を与えた場合の、二つの関数の相関
関数で表現していることになる。(5)式を用いて(4)式を表現すれば、また、
c
s
c
s12
であるから、
c
ss
KKIKIKQI 12
12212
2
21
2
1Re2 -(6)
となる。さらに二つのピンホールが一致する場合を考えれば
tVtV
1111
-(7)
なる、自己可干渉度が定義できる。時間的なコヒーレンスを表現できる。もし、時間差が
0であれば、(3)式の通り、