356
4 Speckle-Optical Methods and Devices for Studying …
ka
2
d
β − 1 = 0
(4.88)
whence we find the condition for the plane of localization of interference rings:
p L =
2d f
2d − f
(4.89)
Thus, the localization plane is optically conjugated with the plane, which is located
twice farther from the objective, than the analyzed specklogram. The results of the
experimental check of (4.89) are presented in Fig. 4.23.
The distance d was measured on the x-axis from the specklogram to the objective,
and on the y-axis—distance p from the objective to the observation plane of rings
with maximal contrast.
Having denoted the solution of (4.88) by β 0 , β = β − β 0 and taking into account
that α is close to unit, (4.86) can be rewritten in the form
Fig. 4.23 Dependence of the position of the speckle-interferogram localization plane on distance
d between the specklogram and the lens (solid curve—theoretical, triangles—experimental data).
The experimentally observed localization region is bounded by squares, while the theoretically
calculated one for the contrast γ ≥ 0, 1 is shaded. Reprinted from [2] with permission
4 Speckle-Optical Methods and Devices for Studying …
ka
2
d
β − 1 = 0
(4.88)
whence we find the condition for the plane of localization of interference rings:
p L =
2d f
2d − f
(4.89)
Thus, the localization plane is optically conjugated with the plane, which is located
twice farther from the objective, than the analyzed specklogram. The results of the
experimental check of (4.89) are presented in Fig. 4.23.
The distance d was measured on the x-axis from the specklogram to the objective,
and on the y-axis—distance p from the objective to the observation plane of rings
with maximal contrast.
Having denoted the solution of (4.88) by β 0 , β = β − β 0 and taking into account
that α is close to unit, (4.86) can be rewritten in the form
Fig. 4.23 Dependence of the position of the speckle-interferogram localization plane on distance
d between the specklogram and the lens (solid curve—theoretical, triangles—experimental data).
The experimentally observed localization region is bounded by squares, while the theoretically
calculated one for the contrast γ ≥ 0, 1 is shaded. Reprinted from [2] with permission