Deformations of cylindrical and conical beams transmitted through a uniaxial crystal parallel-plane plate
DOI:
https://doi.org/10.37537/rev.elektron.2.1.39.2018Keywords:
anisotropic optical materials, image formation theory, integrated optics componentsAbstract
One of the most used tools in optics is ray tracing, due to the fact that is a fundamental tool for optic instruments design. In this work we analyze the successive deformations that both cylindrical and conical beams suffer when they impinge normal to a uniaxial crystal plane-parallel plate and go through the different interfaces. This is accomplished by following the path of each incident ray on the first interface. The ray tracing for the ordinary beam is the same as in isotropic media, but the extraordinary beam ray tracing is more difficult, for these rays are no longer contained in the incidence plane and their directions are different from those of the corresponding normals to the wavefront. We also analyze the loss of revolution symmetry of the beams and the image formation.Downloads
References
M. C. Simon, "Ray tracing formulas for monoaxial optical components," Appl. Opt. 22, 354-360 (1983)
M. C. Simon and R. M. Echarri, "Ray tracing formulas for monoaxial optical components: vectorial formulation," Appl. Opt. 25, 1935-1939 (1986)
E. Cojocaru, "Direction cosines and vectorial relations for extraordinary-wave propagation in uniaxial media," Appl. Opt. 36, 302-306 (1997)
O. N. Stavroudis, "Ray-tracing formulas for uniaxial crystals," J. Opt. Soc. Am.52, 187-191 (1962)
J. D. Trollinger, R. A. Chipman and D. K. Wilson, “Polarization ray tracing in birefringent media,” Opt. Eng. 30, 461-466 (1991)
Simon, María C., and Karin V. Gottschalk. "Symmetries and asymmetries of the refracted and reflected rays in a uniaxial plane parallel plate." Optik-International Journal for Light and Electron Optics 123.1 (2012): 73-84.
M. C. Simon and K. V. Gottschalk, “Optical path in birefringent media and Fermat’s principle,” Pure and Appl. Opt. Part A (JEOS) 7, 1403-1410 (1998)
M. Avendaño-Alejo and M. Rosete-Aguilar, "Optical path difference in a plane-parallel uniaxial plate," J. Opt. Soc. Am. A 23, 926-932 (2006)
M. C. Simon, M. T. Garea, “Plane parallel birefringent plates as polarization interferometers,” Optik 87, 95-102 (1991)
M. T. Garea and M. C. Duplaá, “Plane parallel biaxial plates as polarization interferometers,” Optik 117, 321-328 (2006)
F. E. Veiras, “Errores de Primer Orden En Láminas Retardadoras a Frecuencias Ópticas”. Tesis de grado en Ingeniería Electrónica. (2008) Facultad de Ingeniería UBA.
Veiras, Francisco E., Liliana I. Perez, and María T. Garea. "Phase shift formulas in uniaxial media: an application to waveplates." Applied Optics 49.15 (2010): 2769-2777.
Uribe-Patarroyo, N., et al. "Space-qualified liquid-crystal variable retarders for wide-field-of-view coronagraphs." Solar Physics and Space Weather Instrumentation IV. Vol. 8148. International Society for Optics and Photonics, 2011.
Thorman, A., et al. "A photoelastic-modulator-based motional Stark effect polarimeter for ITER that is insensitive to polarized broadband background reflections." Review of Scientific Instruments 87.7 (2016): 073504.
Samuell, C. M., et al. "Absolute calibration of Doppler coherence imaging velocity images." Journal of Instrumentation 12.08 (2017): C08016.
Veiras, Francisco E., María T. Garea, and Liliana I. Perez. "Wide angle conoscopic interference patterns in uniaxial crystals." Applied optics 51.15 (2012): 3081-3090.
Riobó, Lucas M., et al. "Interferómetro de polarización para la caracterización mecánica de dispositivos piezoeléctricos." Biennial Congress of Argentina (ARGENCON), 2014 IEEE. IEEE, 2014.
Veiras, Francisco Ezequiel, et al. "Birefringent phase demodulator: application to wave plate characterization." Applied optics 54.9 (2015): 2326-2333.
Veiras, F. E., M. T. Garea, and L. I. Perez. "A birefringent polarization modulator: Application to phase measurement in conoscopic interference patterns." Review of Scientific Instruments 87.4 (2016): 043113.
M. C. Simon and K. V. Gottschalk, “Waves and rays in uniaxial birefringent crystals,” Optik 118, 457-470 (2007)
M. C. Simon, “Image formation through monoaxial plane parallel plates,” Appl. Opt. 27, 4176-4182 (1988)
Simon, María C., Liliana I. Perez, and Francisco E. Veiras. "Parallel beams and fans of rays in uniaxial crystals." AIP Conference Proceedings. Vol. 992. No. 1. AIP, 2008.
Downloads
Published
Issue
Section
License
The authors who publish in this journal agree with terms established in the license Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
