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Conoscopic Holography is a simple
implementation of a particular type of polarized light
interference process based on crystal optics. In the
basic interference set-up, a point of light is projected
on a diffuse object. This point creates a light point,
which diffuses light in every direction. In a Conoscopic
system a complete solid angle of the diffused light
is analyzed by the system. The measurement process retrieves
the distance of the light point from a fixed reference
plane.
To better understand the system
functionality, the behavior of a single ray needs first
to be comprehended.
A single ray, at a given angle,
emitted by a light source point, impinges on the first
face of the crystal Fig 1. It is split into two rays
propagating inside the crystal at different velocities
along almost the same geometrical path. The velocity
of one is isotropic and so this ray is called ordinary,
while the other has an anisotropic velocity, i.e., it
is extraordinary. Thus two superimposed rays emerge
from the crystal with a phase difference at orthogonal
polarizations. In order for both rays to interfere,
an analyzer (polarizer) aligns the directions of the
electrical fields.
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Fig. 1 Conoscopic basic set-up
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Fig. 2 Complementary Fresnel
zone plates
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For a complete solid angle, each emerging
ray will have a different phase difference between the
ordinary and extraordinary rays. At a given plane, the
collections of all the rays will create an intensity
figure – the Conoscopic figure, the parameters
of this figure being dependent on the angular distribution
of the rays inside the crystal. These in turn are dependent
on the position of the point in space. Recording and
analyzing the figure reveal the geometrical parameters
of the point.
Several types of figures can be observed depending on
the polarizer and analyzer, and on the crystal optical
axis direction.
This new technique has
many advantages over classical holography:
- Uses concentric optics and is insensitive
to the position of the key optical components.
- An interfringe distance adjustable
to common CCD sensors, which facilitates the interface
with computer system.
- Light need be only quasi-monochromatic
(in practice, a 10nm spectral bandwidth is enough)
but not spatially coherent.
Additionally
Conoscopic systems offer specific benefits:
- Simplicity of the set-up.
- Increased stability, as the geometrical
paths of both split wavefronts are almost the same.
- The possibility of obtaining complementary
interferograms with no moving parts so that part of
the optical noise due to speckle can be cancelled.
Last Update:
October 28, 2007
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