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Evaluating the kernel h in (3.258) between the object plane z = z O
and the diffraction plane z = z D , we find
h(r O , r D ) = 2π
∞
0
dr 1 r 1 exp
ikr
2
1
2f
J 0
kr 1
f
|r O + r D | .
(3.274)
208
Chapter 3. Wave optics
3.3.4 Amplitude in the diffraction plane
We now consider the special case where
Z 1 = Z 2 = f.
(3.273)
This is shown schematically in Figure 3.13. We see that a given
ray slope in the object plane z O is mapped to a specific, single
transverse position in the diffraction plane z D , regardless of transverse position in the object plane. The diffraction plane z D is the
plane where a diffraction pattern of a periodic object comes into
sharp focus.
Figure 3.13: Formation of a diffraction pattern.
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Evaluating the kernel h in (3.258) between the object plane z = z O
and the diffraction plane z = z D , we find
h(r O , r D ) = 2π
∞
0
dr 1 r 1 exp
ikr
2
1
2f
J 0
kr 1
f
|r O + r D | .
(3.274)
208
Chapter 3. Wave optics
3.3.4 Amplitude in the diffraction plane
We now consider the special case where
Z 1 = Z 2 = f.
(3.273)
This is shown schematically in Figure 3.13. We see that a given
ray slope in the object plane z O is mapped to a specific, single
transverse position in the diffraction plane z D , regardless of transverse position in the object plane. The diffraction plane z D is the
plane where a diffraction pattern of a periodic object comes into
sharp focus.
Figure 3.13: Formation of a diffraction pattern.