For the first time calculations of the off‐state transmission of twisted nematic liquid‐crystal displays (LCD’s) are presented which exhibit twist angles greater than the conventional 90 °. The transmission has been calculated using a treatment introduced by Priestley. In addition, the CIE (Commission Internationale d’Eclairage) color coordinates were evaluated which, together with the brightness, determine the optical appearance of an LCD. The finite efficiency of the polarizers was taken into account. The results are compared with those obtained for conventional 90 ° twisted nematic LCD’s. From the calculations follow the conditions required to obtain optimal contrast and steep electro‐optical characteristics in 180 ° supertwisted LCD’s designed for high information content applications.

1.
M.
Schadt
 and
W.
Helfrich
,
Appl. Phys. Lett.
18
,
127
(
1971
).
Google Scholar
Crossref
Search ADS
 
2.
P.
Alt
 and
P.
Pleshko
,
IEEE Trans. Electron Devices
ED‐21
,
146
(
1974
).
Google Scholar
 
3.
M. Schadt, R. Buchecker, A. Villager, F. Leenhouts, and J. Fromm, Proceedings of International Display Research Conferences, San Diego, 1985 (IEEE Single Copy Sales, 445 Hoes Lane, Piscataway, NJ 08854).
4.
M. Schadt, R. Buchecker, F. Leenhouts, A. Boiler, and A. Villiger, to be published in Mol. Cryst. Liq. Cryst.
5.
W. R.
Heffner
 and
D. W.
Berreman
,
J. Appl. Phys.
53
,
8599
(
1982
).
Google Scholar
Crossref
Search ADS
 
6.
T. J. Scheffer, Proceedings of the 3rd International Display Research Conference, Kobe, Japan, 1983 (ITEJ, Kikai‐Shinko‐Kaikan, 3–5–8, Shiba, Minato‐Ku, Tokyo 105, Japan.).
7.
See, for instance,
W. J. S.
Blackburn
,
J. Phys. D
13
,
1785
(
1980
).
Google Scholar
Crossref
Search ADS
 
8.
F. J.
Kahn
,
Appl. Phys. Lett.
22
,
111
(
1973
).
Google Scholar
Crossref
Search ADS
 
9.
M.
Hareng
,
S.
Le Berre
,
B.
Mourey
,
P. C.
Mouton
,
J. N.
Perbet
, and
L.
Thirant
,
IEEE Trans. Electron Devices
ED‐30
,
507
(
1983
).
Google Scholar
 
10.
See, for instance,
N. A.
Clark
,
M. A.
Handschy
, and
S. T.
Lagerwall
,
Mol. Cryst. Liq. Cryst.
94
,
213
(
1983
).
Google Scholar
Crossref
Search ADS
 
11.
C. W.
Oseen
,
Trans. Faraday Soc.
29
,
883
(
1933
).
Google Scholar
Crossref
Search ADS
 
12.
F. C.
Frank
,
Disc. Faraday Soc.
25
,
19
(
1958
).
Google Scholar
Crossref
Search ADS
 
13.
H. L.
de Vries
,
Acta Crystallogr.
4
,
219
(
1951
).
Google Scholar
Crossref
Search ADS
 
14.
A. S.
Marathay
,
J. Opt. Soc. Am.
61
,
1363
(
1971
).
Google Scholar
Crossref
Search ADS
 
15.
D. W.
Berreman
,
J. Opt. Soc. Am.
63
,
1374
(
1973
).
Google Scholar
Crossref
Search ADS
 
16.
R. M. A.
Azzam
 and
N. M.
Bashara
,
J. Opt. Soc. Am.
62
,
1252
(
1972
).
Google Scholar
Crossref
Search ADS
 
17.
C. H.
Gooch
 and
H. A.
Tarry
,
Electron. Lett.
10
,
2
(
1974
).
Google Scholar
Crossref
Search ADS
 
18.
J.
Grinberg
 and
A. D.
Jacobson
,
J. Opt. Soc. Am.
66
,
1003
(
1976
).
Google Scholar
Crossref
Search ADS
 
19.
P.
McIntyre
,
J. Opt. Soc. Am.
68
,
869
(
1978
).
Google Scholar
Crossref
Search ADS
 
20.
G. P.
Montgomery
,
J. Opt. Soc. Am.
69
,
913
(
1979
).
Google Scholar
Crossref
Search ADS
 
21.
E. B. Priestley, P. J. Wojtowicz, and P. Sheng, Introduction to Liquid Crystals (Plenum, New York, 1974), Chap. 11.
22.
See, for instance, M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Chap. 1.
23.
D. L.
MacAdam
,
J. Opt. Soc. Am.
65
,
483
(
1975
).
Google Scholar
Crossref
Search ADS
PubMed
 
24.
P. R.
Gerber
,
Appl. Phys.
25
,
259
(
1981
).
Google Scholar
Crossref
Search ADS
 
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1986
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