20
1 Resonance Methods for Increasing Sensitivity of Interferometry …
Fig. 1.9 Line contours of equal integral images intensity of the laser end reconstructed under the
illumination of different holograms points. Reprinted from [54] with permission
distribution of I 0 (r) and I i (r) was approximated (see Figs. 1.7 and 1.10) by the
Gaussian law:
I i (r ) = I i (0) exp
−
x
2
x
2
i
+
y
2
y
2
i
,
I 0 (r ) = I p (r ) = I 0 exp
−
x
2
x
2
0
+
y
2
y
2
0
,
(1.23)
where x i , y i , x 0 , y 0 are the corresponding experimentally determined values. Then
for |γ (x)|
2 we have
|γ (x)|
2
= exp
−x
2
x
2
0 − x
2
i
x
2
0 (2x
2
i − x
2
0
+ y
2
y
2
0 − y
2
i
y
2
0 (2y
2
i − y
2
0
.
(1.24)
By substituting in (1.24) the values x 0 and x i , found from the graphics, we get
averaged value |γ (x)|
2 along the axis l.