Abstract

We derive an extended Jones matrix method to treat the transmission of light through birefringent networks, where the incident angle of light and the optical axis of the birefringent media are arbitrary. As an example, we employ the method to analyze the leakage problem of a twisted nematic liquid-crystal display and to suggest its possible solutions. A generalization of the method covers all dielectric media, including uniaxial and biaxial crystals and also gyrotropic materials that exhibit optical rotation and Faraday rotation.

© 1993 Optical Society of America

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  1. See, for example, P. Yeh, “Electromagnetic propagation in birefringent layered media,” J. Opt. Soc. Am. 69, 742–756 (1979).
    [CrossRef]
  2. D. W. Berreman, “Optics in stratified and anisotropic media: 4 × 4-matrix formulation,”J. Opt. Soc. Am. 62, 502–510 (1972).
    [CrossRef]
  3. P. Yeh, “Extended Jones matrix method,”J. Opt. Soc. Am. 72, 507–513 (1982).
    [CrossRef]
  4. See, for example, P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  5. A. R. MacGregor, “Method for computing homogeneous liquid-crystal conoscopic figures,” J. Opt. Soc. Am. A 7, 337–347 (1990).
    [CrossRef]
  6. A. Lien, “The general and simplified Jones matrix representations for the high pretilt twisted nematic cell,” J. Appl. Phys. 67, 2853–2856 (1990).
    [CrossRef]
  7. A. Lien, “Extended Jones matrix representation for the twisted nematic liquid-crystal display at oblique incidence,” Appl. Phys. Lett. 57, 2767–2769 (1990).
    [CrossRef]
  8. H. L. Ong, “Electro-optics of electrically controlled birefringence liquid-crystal displays by 2 × 2 propagation matrix and analytic expression at oblique angle,” Appl. Phys. Lett. 59, 155–157 (1991).
    [CrossRef]
  9. H. L. Ong, “Electro-optics of a twisted nematic liquid-crystal display by 2 × 2 propagation matrix at oblique angle,” Jpn. J. Appl. Phys. Lett. 30, L1028–L1031 (1991).
    [CrossRef]
  10. D. Taber, Department of Optical Devices, Rockwell International Science Center, Thousand Oaks, California 91360 (personal communication, 1992).

1991 (2)

H. L. Ong, “Electro-optics of electrically controlled birefringence liquid-crystal displays by 2 × 2 propagation matrix and analytic expression at oblique angle,” Appl. Phys. Lett. 59, 155–157 (1991).
[CrossRef]

H. L. Ong, “Electro-optics of a twisted nematic liquid-crystal display by 2 × 2 propagation matrix at oblique angle,” Jpn. J. Appl. Phys. Lett. 30, L1028–L1031 (1991).
[CrossRef]

1990 (3)

A. R. MacGregor, “Method for computing homogeneous liquid-crystal conoscopic figures,” J. Opt. Soc. Am. A 7, 337–347 (1990).
[CrossRef]

A. Lien, “The general and simplified Jones matrix representations for the high pretilt twisted nematic cell,” J. Appl. Phys. 67, 2853–2856 (1990).
[CrossRef]

A. Lien, “Extended Jones matrix representation for the twisted nematic liquid-crystal display at oblique incidence,” Appl. Phys. Lett. 57, 2767–2769 (1990).
[CrossRef]

1982 (1)

1979 (1)

1972 (1)

Berreman, D. W.

Lien, A.

A. Lien, “The general and simplified Jones matrix representations for the high pretilt twisted nematic cell,” J. Appl. Phys. 67, 2853–2856 (1990).
[CrossRef]

A. Lien, “Extended Jones matrix representation for the twisted nematic liquid-crystal display at oblique incidence,” Appl. Phys. Lett. 57, 2767–2769 (1990).
[CrossRef]

MacGregor, A. R.

Ong, H. L.

H. L. Ong, “Electro-optics of a twisted nematic liquid-crystal display by 2 × 2 propagation matrix at oblique angle,” Jpn. J. Appl. Phys. Lett. 30, L1028–L1031 (1991).
[CrossRef]

H. L. Ong, “Electro-optics of electrically controlled birefringence liquid-crystal displays by 2 × 2 propagation matrix and analytic expression at oblique angle,” Appl. Phys. Lett. 59, 155–157 (1991).
[CrossRef]

Taber, D.

D. Taber, Department of Optical Devices, Rockwell International Science Center, Thousand Oaks, California 91360 (personal communication, 1992).

Yeh, P.

Appl. Phys. Lett. (2)

A. Lien, “Extended Jones matrix representation for the twisted nematic liquid-crystal display at oblique incidence,” Appl. Phys. Lett. 57, 2767–2769 (1990).
[CrossRef]

H. L. Ong, “Electro-optics of electrically controlled birefringence liquid-crystal displays by 2 × 2 propagation matrix and analytic expression at oblique angle,” Appl. Phys. Lett. 59, 155–157 (1991).
[CrossRef]

J. Appl. Phys. (1)

A. Lien, “The general and simplified Jones matrix representations for the high pretilt twisted nematic cell,” J. Appl. Phys. 67, 2853–2856 (1990).
[CrossRef]

J. Opt. Soc. Am. (3)

J. Opt. Soc. Am. A (1)

Jpn. J. Appl. Phys. Lett. (1)

H. L. Ong, “Electro-optics of a twisted nematic liquid-crystal display by 2 × 2 propagation matrix at oblique angle,” Jpn. J. Appl. Phys. Lett. 30, L1028–L1031 (1991).
[CrossRef]

Other (2)

D. Taber, Department of Optical Devices, Rockwell International Science Center, Thousand Oaks, California 91360 (personal communication, 1992).

See, for example, P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

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