Home page
Other articles
in this issue |
Computer simulation of conoscopic patterns for gyrotropic
birefringent crystals
Nastishin Yu.A., Vlokh O.G., Dovgyi O.B.
Institute of Physical Optics, 23 Dragomanov Str., Lviv
79005, Ukraine
download full version
The algorithm for computer simulations of the conoscopic patterns for
gyrotropic birefringent crystals is proposed. Traditional approach to the
analysis of the conoscopic patterns is based on the approximations reducing
the original phase retardation function to the equation of a circle, ellipse
or hyperbola. Our computer simulations are based on the complete expressions
describing the light propagation in a gyrotropic crystal without expansions
of the complicated functions in a series. The simulated conoscopic patterns
for one and two crystalline plates with symmetrically tilted optical axes
(double-plate) are represented. The shape of the isochromes is discussed.
The simulated patterns reproduce an experimentally observed phenomenon
of the existence of circular isochromes at a non-zero tilt angle qc
of the optical axes for the double-plate. The qc
values deduced from the computer simulated patterns well agree with the
values estimated from an approximate expression for qc
earlier found in [Vlokh O.G., Kobylyanskyi V.B., Lazko L.A. Ukr. Fiz. Zhurn.,
N10, pp.1631-1638 (1974)].
Keywords: optical conoscopy, gyrotropic birefringent crystals,
computer simulation.
doi 10.3116/16091833/2/3/133/2001 |
|
References
1.Born M and Wolf E, 1970. Principles of Optics. Pergamon Press 4th
ed.
2. Konstantinova AF, Grechushnikov BN, Bokut BV, Valyashko EG, 1995.
Optical properties of crystals. Minsk. "Navuka i Technika".
3.Vlokh OG, 1984. Phenomena of spacial dispersion in parametric crystalloptics.
Lviv. "Vyshcha shkola".
4.Romanyuk MO, 1997. Crystalloptics. Kiev. IZMN.
5.Nastishin YuA, Dovgyi OB, Vlokh OG, 2001. Ukr. J. Phys Opt. 2: 98-106.
doi:10.3116/16091833/2/2/98/2001
http://dx.doi.org/10.3116/16091833/2/2/98/2001
6.Vlokh OG, Kobylyanskyi VB, Lazko LA, 1974. Ukr. Fiz. Zhurn. 10: 1631-1638.
7. Vlokh RO, Pyatak YA, Skab IP, 1992. Ukr. Fiz. Zhurn. 37: 365-367. |