Holografia a jej technické aplikácie

3.3.1 Holographic Set-Ups for Transparent Objects

Similarly to those for diffusively reflecting objects there are two basic optical set-up arangements:

  • Method by amplitude splitting (Fig. 3–55, Fig. 3–56)
  • Method by wavefront splitting (Fig. 3–57)

The method by amplitude splitting (Fig. 3–55) is specific by expanding a narrow laser beam and transforming it into a planar light wave before the beam splitter due to which only one three-dimensional filter with a micro-objective is needed.

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Fig. 3–55 Method by amplitude splitting for transparent objects
(beam is expanded before splitting)

1 – laser, 2 – micro-objectiv, 3– objectiv, 4 – beam splitter, 5 – phase object, 6 – mirror, 7 – holographic plate

The disadvantage of this method lies in the need for a beam splitter of large dimensions and in troubles with the contrast of interference fringes.

Method by amplitude splitting (Fig. 3–56) is characterised by using the beam splitter with small dimensions unlike the previous method, and easier adjustment of the contrast on the holographic plate.

The optical set-ups assembled according to the methods by amplitude splitting use the laser radiation light flow more efficiently, which allows shortening of the exposure time, and are more universal. The methods by wavefront splitting are more simple and need less optical components (Fig. 3–57).

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Fig. 3–56 Method by amplitude splitting for transparent object
(beam is expanded after splitting)

1 – laser, 2 – beam splitter, 31, 32 – mirrors, 41, 42 – lenses, 5 – phase object, 6 – holographic plate

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Fig. 3–57 Method by wavefront splitting for transparent object

1 – laser, 2 – objective, 3 – phase object, 4 – holographic plate, 5 – optical wedge

For the study of two-dimensional or rotation-symmetric transparent inhomogeneous substances various types of interferometers
(see Fig. 3–58, Fig. 3–59, Fig. 3–60) are possible to apply. The principle consists in interference of reference beam r whose wavefront is usually planar, with object beam p whose wavefront is deformed during its transmission through the measured object of length L. Both paths must be of the same length. In Fig. 3–58 the Jamin interferometer is presented that is relatively simple but its comparatively small viewing field is limited by the size of beam splitters (2). Moreover, the distance between the object and reference beams is too small, which can cause troubles where the reference beam is influenced by the measured phase object (Pavelek, Štětina, 1997).

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Fig. 3–58 Jamin interferometer

1 – laser, 21, 22 – beam splitter, p – object beam, r – reference beam, 3 – CCD camera, 4 – computer

During the research of transparent as well as diffusively reflecting objects we can more frequently meet with the Michelson interferometer (Fig. 3–59), that is more sensitive than the previous one. Its higher sensitivity is reached because object beam p passes through the measuring space twice. The limitation of this set-up is in lower accuracy of the measured values since in consequence of the light trajectory curvatures several beams propagate there and back through different places of the transparent object (Pavelek, Štětina, 1997).

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Fig. 3–59 Michelson interferometer
(beam is expanded before splitting)

1 – laser, 2 – beam splitter, p – object beam, r – reference beam, 31, 32 – mirror, 4 – CCD camera, 5 – computer

The chart of Mach–Zehneder interferometer is displayed in Fig. 3–60. The narrow light beam generated by laser (1) is divided by beam splitter (21) into the object p and reference r beams. They are directed by mirrors (3) to the place with beam splitter (22) that connects the object and reference beams – they interfere.

Besides the above mentioned interferometers, during the research of transparent objects we can meet with other types of interferometers, for example Shearing interferometer suitable for investigation of refractive index derivations in selected direction, Fabry-Perot interferometer characterised by several times higher sensitivity than the other mentioned types (Pavelek, Štětina, 1997).

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Fig. 3–60 Mach–Zehnder interferometer

1 – laser, 21, 22 – beam splitters, 31, 32 – mirrors, 41, 42 – objective, 5 – transparent body, 6 – hologram, p – object beam, r – reference beam
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