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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 31 — Nov. 1, 2000
  • pp: 5707–5714

Wide-Angle Beam Propagation Method for Liquid-Crystal Device Calculations

Emmanouil E. Kriezis and Steve J. Elston  »View Author Affiliations


Applied Optics, Vol. 39, Issue 31, pp. 5707-5714 (2000)
http://dx.doi.org/10.1364/AO.39.005707


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Abstract

A wide-angle beam propagation method suitable for analyzing anisotropic devices involving liquid crystals is presented. The mathematical formulation is based on a system of coupled differential equations involving an electric and a magnetic field component. The contribution of all dielectric tensor elements is included. A numerical implementation based on finite differences is used. Numerical examples are focused on light-wave propagation within twisted nematic pixels found in microdisplays, with all effects arising at pixel edges that are incorporated. A comparison between the results obtained and the prediction of finite-difference time-domain simulations is conducted, showing satisfactory agreement. The required computational effort is found to be minimal.

© 2000 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(160.3710) Materials : Liquid crystals
(260.1180) Physical optics : Crystal optics
(350.5500) Other areas of optics : Propagation

Citation
Emmanouil E. Kriezis and Steve J. Elston, "Wide-Angle Beam Propagation Method for Liquid-Crystal Device Calculations," Appl. Opt. 39, 5707-5714 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-31-5707


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References

  1. D. W. Berreman, “Optics in stratified and anisotropic media: 4 × 4 matrix formulation,” J. Opt. Soc. Am. 62, 502–510 (1972).
  2. B. Witzigmann, P. Regli, and W. Fichtner, “Rigorous electromagnetic simulation of liquid crystal displays,” J. Opt. Soc. Am. A 15, 753–757 (1998).
  3. E. E. Kriezis, S. K. Filippov, and S. J. Elston, “Light propagation in domain walls in ferroelectric liquid crystal devices by the finite-difference time-domain method,” J. Opt. 2, 27–33 (2000).
  4. E. E. Kriezis and S. J. Elston, “Light wave propagation in liquid crystal displays by the finite-difference time-domain method,” Opt. Commun. 177, 69–77 (2000).
  5. L. Thylen and D. Yevick, “Beam propagation method in anisotropic media,” Appl. Opt. 21, 2751–2754 (1982).
  6. J. M. Liu and L. Gomelsky, “Vectorial beam propagation method,” J. Opt. Soc. Am. A 9, 1574–1585 (1992).
  7. C. L. Xu, W. P. Huang, J. Chrostowski, and S. K. Chaudhuri, “A full-vectorial beam propagation method for anisotropic waveguides,” J. Lightwave Technol. 12, 1926–1931 (1994).
  8. F. Castaldo, G. Abbate, and E. Santamato, “Theory for a new full-vectorial beam-propagation method in anisotropic structures,” Appl. Opt. 38, 3904–3910 (1999).
  9. Y. Tsuji, M. Koshiba, and N. Takimoto, “Finite element beam propagation method for anisotropic optical waveguides,” J. Lightwave Technol. 17, 723–728 (1999).
  10. E. E. Kriezis and S. J. Elston, “A wide angle beam propagation method for the analysis of tilted nematic liquid crystal structures,” J. Mod. Opt. 46, 1201–1212 (1999).
  11. Y. Ohkawa, Y. Tsuji, and M. Koshiba, “Analysis of anisotropic dielectric grating diffraction using the finite-element method,” J. Opt. Soc. Am. A 13, 1006–1012 (1996).
  12. G. R. Hadley, “Wide-angle beam propagation using Padé approximant operators,” Opt. Lett. 17, 1426–1428 (1992).
  13. W. P. Huang, C. L. Xu, S. T. Chu, and S. K. Chaudhuri, “The finite-difference vector beam propagation method: analysis and assessment,” J. Lightwave Technol. 10, 295–305 (1992).
  14. G. R. Hadley, “Transparent boundary condition for the beam propagation method,” IEEE J. Quantum Electron. 28, 363–370 (1992).
  15. W. H. Press, Numerical Recipes: The Art of Scientific Computing (Cambridge U. Press, Cambridge, UK, 1992).

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