Ukrainian Journal of Physical Optics 


Number  3, Volume  2, September  2001

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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

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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.

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