哈工大信息光学Chapter5-3.pdf
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幻
灯
片
1 Questions and Answers for
Chapter 4 and 5
Weimin Sun
College of Science
Harbin Engineering University
幻
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片 Chapter 4
2 z exp(jkr01 )
U(x , y ) j l U(x ,h) r2 dxdh
01
Under the Fresnel approximation:
ejkz k 2 2
U (x , y ) j lz U(x ,h) exp{j 2z [(x x ) (y h) ]}dxdh
-
U(x ,h)h(x x , y h )dxdh
-
jkz k 2 2 k 2 2 x y
e j ( x y ) j (x h ) -j 2 p ( x h )
U (x ,y ) j lz e 2 z [U(x ,h)e 2z ]e lz lz dxdh
-
幻
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3
Under the Fraunhofer approximation:
2 2
k (x h )max
z
2
jkz k 2 2 x y
e j ( x y ) -j 2p ( x h )
U(x , y ) e 2 z U(x ,h)e lz lz dxdh
j lz -
f X x / lz
f Y y / lz
幻
灯
片 Chapter 5
k
4 t (x ,y ) exp[j (x2 y 2 )]
l 2f
k 2 2
exp[j 2 f (u v )] j 2p ( xu yv)
U (u, v) U (x , y )P(x , y )e lf dxdy
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