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)
1.
transmission cross-coefficient の導出
ここで、物体面上の複素コヒーレンス度を考えると、本連載第32回(11)式よ
り、
22221111
212112
2112
,,
,,,
,
DDDD
DDDD
YXJYXJ
YYXXJ
QQ
-(1)
ただし、
11
2
111111 ,,,,, DDDDDD YXIydxdYXyxAYXJ
-(2)
22
2
222222 ,,,,, DDDDDD YXIydxdYXyxAYXJ
であって、物体面上における、それぞれの単独の点における強度を表す。
ここで、本連載 33 回ファン・シッター-ツェルニケの定理(16)式の場合と同様に
μ12(Q1’、Q2’)が、点 Q1’、Q2’の距離のみに依存すると考えると、
2121122112 ,, DDDD YYXXQQ
-(3)
となるので、(1)式は、
212112212112 ,,,, DDDDDDDD YYXXKYYXXJ
(4)
と変形できる。ただし、
22221111 ,, DDDD YXJYXJK -(5)