4 × 4 and 2 × 2 matrix formulations for the optics in stratified and biaxial media

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 14, Issue 11, 1997, Pages 3125-3134

  Chen, C J ^a,d   Lien, A ^b   Nathan, M I ^c  

^a University of Minnesota   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

^c UNIVERSITY OF MINNESOTA   (United States)

^d HONEYWELL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343234553     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.003125     Document Type: Article

References (19)

1. S. Teitler and B. W. Henvis, “Refraction in stratified, anisotropic media,” J. Opt. Soc. Am. 60, 830–834 (1970).
2. D. W. Berreman, “Optics in stratified and anisotropic media: 4 X 4 matrix formulation,” J. Opt. Soc. Am. 62, 502–510 (1972).
3. P. Yeh, “Electromagnetic propagation in birefringent layered media,” J. Opt. Soc. Am. 69, 742–756 (1979).
4. H. Wohler, G. Haas, M. Fritsch, and D. A. Mlynski, “Faster 4 X 4 matrix method for uniaxial inhomogeneous media,” J. Opt. Soc. Am. A 5, 1554–1557 (1988).
5. C.-J. Chen, A. Lien, and M. I. Nathan, “4 X 4 matrix method for biaxial media and its application to liquid crystal displays,” Jpn. J. Appl. Phys. Part 2 35, L1204-L1207 (1996).
6. P. Yeh, “Extended Jones matrix method,” J. Opt. Soc. Am. 72, 507–513 (1982).
7. C. Gu and P. Yeh, “Extended Jones matrix method. II,” J. Opt. Soc. Am. A 10, 966–973 (1993).
8. A. Lien, “Extended Jones matrix representation for the twisted nematic liquid-crystal display at oblique incidence,” Appl. Phys. Lett. 57, 2767–2769 (1990).
9. A. R. MacGregor, “Method for computing homogeneous liquid-crystal conoscopic figures,” J. Opt. Soc. Am. A 7, 337–347 (1990).
10. H. L. Ong, “Electro-optics of electrically controlled birefringence liquid-crystal displays by 2 X 2 propagation matrix and analytic expression at oblique angle,” Appl. Phys. Lett. 59, 155–157 (1991).
11. A. Lien and C.-J. Chen, “A new 2 X 2 matrix representation for twisted nematic liquid crystal displays at oblique incidence,” Jpn. J. Appl. Phys. Part 2 35, L1200-L1203 (1996).
12. Y. Yamaguchi, T. Miyashita, and T. Uchida, “Wide-viewing-angle display mode for the active-matrix LCD using bend-alignment liquid-crystal cell,” SID Dig. 277–280 (1993).
13. H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, Mass., 1981), pp. 143–148.
14. H. Birecki and F. J. Kahn, in The Physics and Chemistry of Liquid Crystal Devices, G. J. Sprokel, ed. (Plenum, New York, 1980), pp. 125–142.
15. T. A. Maldonado and T. K. Gaylord, “Light propagation characteristics for arbitrary wavevector directions in biaxial media by a coordinate-free approach,” Appl. Opt. 30, 2465–2480 (1991).
16. G. D. Landry and T. A. Maldonado, “Complete method to determine transmission and reflection characteristics at a planar interface between arbitrarily oriented biaxial media,” J. Opt. Soc. Am. A 12, 2048–2063 (1995).
17. R. A. Gabel and R. A. Roberts, Signals and Linear Systems (Wiley, New York, 1987), pp. 158–169.
18. A. Yariv, Optical Electronics, 4th ed. (Holt, Rinehart & Winston, New York, 1991), pp. 112–115.
19. C.-J. Chen, A. Lien, and M. I. Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70–73 (1997).