laser conoscopy
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Transcript of laser conoscopy
LASER CONOSCOPY OF LARGE-SIZED OPTICAL CRYSTALS
1Tver State University, Tver, Russia 2Acousto-Optic Research Centre, MISIS, Moscow
A.I. Kolesnikov1, R.M. Grechishkin1, S.A. Tretiakov1, V.Ya. Molchanov2, A.I. Ivanova1, E.I. Kaplunova1, E.Yu. Vorontsova
* Corresponding author. E-mail address: [email protected]
MOTIVATION:MOTIVATION:Paratellurite (Paratellurite (-TeO2) large sized crystals for -TeO2) large sized crystals for
acoustoopticsacoustoopticstetragonal symmetry, class 422
THEORY (1)THEORY (1)
It is shown theoretically that in the method of conoscopy in the general case of arbitrary orientation of the optical axis and normal to the crystal surface the isochromes may be presented by the curves of fourth order and higher. Such type of isochromes was observed experimentally. Examples of the computer calculation of the system of equations derived without usual approximations adopted by other authors are presented.
On the calculation of the angle of refraction of the ray incident at an angle on the face of uniaxial crystal G, defined by the vector of the normal at an angle to the optical axis
On the calculation of the path difference of the rays in anisotropic plate cut from a uniaxial positive crystal; ordinary (o) and extraordinary (e) beam
THEORY (2)THEORY (2)
THEORY (3)THEORY (3)
Calculated effect of the sample thickness on the conoscopic picture and the number of isochromates in the field of view (FOV) Parameters: No=2.4, Ne=2.6, angular aperture 10о, wavelength λ=500 nm, lens focus length 350 mm, sample thickness 0.5, 1.0 and 2 mm
Calculated effect of angular aperture of the light cone on the conoscopic picture and the number of isochromates in FOV. Parameters: No=2.4, Ne=2.6, sample thickness 0.5 mm, wavelength λ=500 nm, lens focus length 350 mm, angular aperture 8°, 15° and 30°
Calculated effect of refractive indices values on the conoscopic picture and the number of isochromates in FOV. Parameters: angular aperture10°, sample thickness 0.5 mm, wavelength λ=500 nm, lens focus length 350 mm, a) No=2.1, Ne=2.0 b) No=2.2, Ne=2.05 c) No=2.2, Ne=2.12
EXPERIMENTAL EXPERIMENTAL
Experimental setup for conoscopic observation of large-sized crystals
Acoustooptic duct on the base of paratellurite crystal
Large-sized crystal of L iTaO3
Conoscopic pattern produced by a polar cut
of TeO2 crystal in normal orientation
Conoscopic pattern produced by a TeO2
crystal for an angle of 3° between the optical axis
and light cone axis
Conoscopic pattern distortion due to
mechanical stresses at the edge of the sample
EXPERIMENTAL CONOSCOPIC PATTERNS (1) EXPERIMENTAL CONOSCOPIC PATTERNS (1)
EXPERIMENTAL CONOSCOPIC PATTERNS (2) EXPERIMENTAL CONOSCOPIC PATTERNS (2)
Effect of striations on the distortion of isochromate shapes in paratellurite crystal
CONCLUSIONCONCLUSIONThe analytical results of the earlier performed first-principle calculations of isochromate patterns in birefringent media were applied to the conoscopic examination of large-sized crystal boules unusable for examination in conventional polarizing optical microscopes with Bertrand lens. In the present work we have shown that the usage of convergent or divergent laser beams in simple benchtop configuration makes it possible to explore big samples by the method of conoscopy including crystals elongated in the optical axis direction. As distinct from traditional optical microscopy the conoscopic figures obtained with the aid of the laser installment may contain tens and hundreds of isochromate fringes, thus increasing the informative capabilities of the method. Large-sized crystals of LiNbO3 (6595 mm), LiTaO3 (7040 mm), TeO2 prisms (505030 mm) were examined experimentally at different angles between the optical axis and normal to the crystal surface. The capabilities of conoscopic observations as a fast contactless method for characterizing the quality of large boules for their potential use in optical instrumentation were demonstrated. Among the advantages of using lasers to this end are their high intensity of illumination, monochromaticity and small angular aperture. However, a separate study of the ways of improving the laser beam uniformity and stability (pi-shapers, etc.) would increase the functional possibilities of the method. This would also be helpful for the development of computer-controlled scanning conoscope imaging system.