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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 15 — Jul. 19, 2010
  • pp: 15513–15522

Application theory of scattering and coupled mode analysis for liquid crystal diffractive grating

Grigoriy Kreymerman  »View Author Affiliations

Optics Express, Vol. 18, Issue 15, pp. 15513-15522 (2010)

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This work presents a detailed analysis of a liquid crystal (LC) phase diffraction grating based on a approach combining vector theory of scattering and coupled mode analysis. In general, the coupled mode analysis gives a solution for the diffracted field regardless of aperture and the polarization state of the incident light. However, the aperture of the incident light defines the angular selectivity of the diffraction grating as well as the distribution of the intensity of the diffractive maximums. The solution of the vector theory of scattering in combination with the coupled mode analysis for diffraction of the light beam with finite aperture has allowed one to optimize the parameters of the high efficiency diffractive LC grating. The analytic solutions here were verified with experimental results for a reverse-twisted LC grating and a comparison with the standard Gooch-Tarry’s method, which typically applied for a twisted nematic LC display.

© 2010 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(230.3720) Optical devices : Liquid-crystal devices
(250.4110) Optoelectronics : Modulators

ToC Category:
Diffraction and Gratings

Original Manuscript: May 7, 2010
Revised Manuscript: June 16, 2010
Manuscript Accepted: June 17, 2010
Published: July 7, 2010

Grigoriy Kreymerman, "Application theory of scattering and coupled mode analysis for liquid crystal diffractive grating," Opt. Express 18, 15513-15522 (2010)

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  1. Y. Hori, K. Asai, and M. Fukai, “Field Controllable Liquid-Crystal Light Valves,” IEEE Trans. Electron. Dev. 26(11), 1734–1737 (1979). [CrossRef]
  2. M. Fritsch, H. Wohler, G. Haas, and D. Mlynski, “Liquid-Crystal Phase Modulator for Large Screen Projection,” IEEE Trans. Electron. Dev. 36(9), 1882–1887 (1989). [CrossRef]
  3. P. Shannon, W. Gibbons, S. Sun, and B. Swetlin, “Surface-Mediated Alignment of Nematic Liquid Crystals with Polarized Laser Light,” Nature 351, 351–352 (1991).
  4. P. J. Bos, J. Chen, J. W. Doane, B. Smith, C. Holton, and W. Glenn, “An Optically Active Diffractive Device for a High Efficiency Light Valve”, Digest of Technical Papers, Society for Information Display International Symposium, pp. 601–604 (1995).
  5. W. E. Glenn, “The Use of Optical Diffraction to Produce Images,” J. SID 5(3), (1997).
  6. C. E. Holton, P. Bos, M. Miller, and W. Glenn, “Patterned Alignment Liquid Crystal Diffractive Spatial Light Modulators and Devices,” SPIE Proc. 3292–04, Photonics West, San Jose, CA, Jan., (1998). [CrossRef]
  7. G. Kreymerman, “Liquid crystal diffractive phase grating as light modulator for projection display,” Opt. Eng. 45(11), 116202 (2006). [CrossRef]
  8. P. Yeh, “Extended Jones matrix method,” J. Opt. Soc. Am. 72(4), 507–513 (1982). [CrossRef]
  9. K. H. Yang, and M. Lu, “Nematic LC modes and LC phase grating for reflective spatial light modulators,” IBM J. Res. Develop. High-resolution displays, 42, 401 (1998). [CrossRef]
  10. L. D. Landau, and E. M. Lifschitz, Electrodynamics of Continuous Media (Oxford, England: Pergamon Press, 1984).
  11. A. Sommerfeld, Partial Differential Equations in Physics, (Academic Press, New York, New York, 1949).
  12. C. H. Gooch, and H. A. Tarry, “The optical properties of twisted nematic liquid crystal structures with twist angles,” J. Phys. D Appl. Phys. 8(13), 1575–1584 (1975). [CrossRef]

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