Abstract
This paper is devoted to the problem of photorealistic rendering of optically active crystals. Optical activity (rotation) is turning of the polarization plane of linearly polarized light while it propagates through optically active medium. Quartz is one of well-known optically active crystals. It is an optically uniaxial crystal; however, there are optically active isotropic crystals, e.g., sodium bromate. Thus far, the phenomenon of optical activity was out of the scope of the papers devoted to photorealistic rendering of crystals. In this paper, we present a method for physically correct calculation of turning of the polarization plane of linearly polarized light in transparent optically active isotropic crystals and, for the first time, consider its application to photorealistic rendering. This method will allow extending the set of materials to construct scenes for virtual reality systems.
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References
Debelov, V.A. and Kozlov, D.S., An algorithm for photorealistic rendering of colored translucent crystals, Informatsionnye Tekhnol. Proekt. Proizvod., 2014, no. 2, pp. 25–30.
Debelov V.A. and Kozlov, D.S., A local model of light interaction with transparent crystalline media, IEEE Trans. Visualization Comput. Graphics, 2013, vol. 19, no. 8, pp. 1274–1287.
Guy, S. and Soler, C., Fast and physically-based rendering of gemstones, ACM Trans. Graphics, 2004, vol. 23, no. 3, pp. 231–238.
Weidlich, A. and Wilkie, A., Realistic rendering of birefringency in uniaxial crystals, ACM Trans. Graphics, 2008, vol. 27, no. 1, pp. 6:1–6:12.
McClain, S.C. and Chipman, R.A., Polarization ray tracing in anisotropic optically active media II: Theory and physics, Appl. Opt., 1993, vol. 10, no. 11, pp. 2383–2393.
Fedorov, F.I., Teoriya girotropii (Theory of Gyrotropy), Minsk: Nauka Tekh., 1976.
Landsberg, G.S., Optika (Optics), Moscow: Fizmatlit, 2003, 6th ed.
Unofficial site of the Faculty of Physics of the Belarusian State University, Laboratory works on the course of “Optics”, Work 8: Turning of a polarization plane. http://physfak.org/radio/optics/8.pdf.
Chugaev, L.A., About anomalous rotary dispersion (preliminary report), Izbrannye trudy (Selected Works), Moscow: Izd. Akad. Nauk SSSR, 1955, vol. 2.
Fedorov, F.I. and Filippov, V.V., Otrazhenie i prelomlenie sveta prozrachnymi kristallami (Reflection and Refraction of Light by Transparent Crystals), Minsk: Nauka Tekh., 1976.
Tannenbaum, D.C., Tannenbaum, T., and Wozny, M.J., Polarization and birefringency considerations in rendering, Comput. Graphics, 1994, pp. 221–222.
Born, M. and Wolf, E., Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Cambridge Univ. Press, 1999, 7th ed.
Shubnikov, A.V., Opticheskaya kristallografiya (Optical Crystallography), Moscow: Izd. Akad. Nauk SSSR, 1950.
Kozlov, D.S., LIAC library: Calculation of interaction between light and crystals. http://fap.sbras.ru/node/4089.
Colorimetry, CIE Publication, 2nd ed., 1986, no. 15.
Chandrasekhar, S., The optical rotatory dispersion of quartz, Proc. Indian Acad. Sci., Sect. A, 1957, vol. 45, no. 3, pp. 147–160.
Ghosh, G., Dispersion-equation coefficients for the refractive index and birefringence of calcite and quartz crystals, Opt. Commun., 1999, vol. 163, nos. 1–3, pp. 95–102.
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Original Russian Text © D.S. Kozlov, V.A. Debelov, 2015, published in Programmirovanie, 2015, Vol. 41, No. 5.
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Kozlov, D.S., Debelov, V.A. Algorithm for photorealistic rendering of transparent optically active isotropic crystals. Program Comput Soft 41, 267–272 (2015). https://doi.org/10.1134/S0361768815050060
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DOI: https://doi.org/10.1134/S0361768815050060