Analytical and numerical calculations of threshold behavior and electro‐optical characteristics in twisted chiral nematic layers are presented, when weak anchoring in the tilt and twist angle of the director is assumed. An analytical expression for the effective twist angle and the Fréedericksz threshold voltage is derived. In cells with bistabilities, we investigate the influence of the anchoring parameters and device parameters on the width of the hysteresis. Using the 4×4‐matrix formalism of Berreman [J. Opt. Soc. Am. 62, 502 (1972)], we demonstrate the influence of the weak anchoring on the transmission‐versus‐voltage characteristic.

1.
M.
Schadt
and
W.
Helfrich
,
Appl. Phys. Lett.
18
,
127
(
1971
).
2.
M.
Schadt
and
F.
Leenhouts
,
Appl. Phys. Lett.
50
,
236
(
1987
).
3.
T. J.
Scheffer
and
J.
Nehring
,
J. Appl. Phys.
58
,
3022
(
1985
).
4.
P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974).
5.
G.
Baur
,
F.
Windscheid
, and
D.
Berreman
,
Appl. Phys.
8
,
101
(
1975
).
6.
M. E.
Becker
,
J.
Nehring
, and
T. J.
Scheffer
,
J. Appl. Phys.
57
,
4539
(
1985
).
7.
J.
Nehring
,
A.
Kmetz
, and
T. J.
Scheffer
,
J. Appl. Phys.
47
,
850
(
1976
).
8.
H. A.
van Sprang
and
P. A.
Breddels
,
J. Appl. Phys.
60
,
968
(
1986
).
9.
G. Haas, H. Wöhler, M. Fritsch, and D. Mlyinski, 17. Freiburger Arbeitstagung Fliissigkristalle, 1987.
10.
G.
Barbero
,
E.
Miraldi
,
C.
Oldano
,
M. L.
Rastello
, and
P.
Taverna Valabrega
,
J. Phys. (Paris)
47
,
1411
(
1986
).
11.
S.
Faetti
,
M.
Gatti
,
V.
Palleschi
, and
T. J.
Sluckin
,
Phys. Rev. Lett.
55
,
1681
(
1985
).
12.
T.
Sugiyama
,
S.
Kuniyasu
, and
D.
Seo
,
Jpn. J. Appl. Phys.
29
,
2045
(
1990
).
13.
K.
Ogawa
,
N.
Mino
, and
K.
Nakajima
,
Jpn. J. Appl. Phys.
29
,
L1689
(
1990
).
14.
M.
Blinov
,
A.
Kabayenkov
, and
A.
Sonin
,
Liq. Cryst.
5
,
645
(
1989
).
15.
M. Becker, Electronic Displays, Wiesbaden, 1988.
16.
R.
Thurston
and
D.
Berreman
,
J. Appl. Phys.
52
,
508
(
1981
).
17.
A.
Rapini
and
M.
Papoular
,
J. Phys. (Paris) Colloq.
30
,
C4
54
(
1969
).
18.
M.
Schmidt
and
H.
Schmiedel
,
Mol. Cryst. Liq. Cryst.
167
,
89
(
1989
).
19.
D. W.
Berreman
,
J. Opt. Soc. Am.
62
,
502
(
1972
).
20.
K.
Eidner
,
G.
Mayer
,
M.
Schmidt
, and
H.
Schmiedel
,
Mol. Cryst. Liq. Cryst.
172
,
191
(
1989
).
21.
H.
Wöhler
,
G.
Haas
,
M.
Fritsch
, and
D.
Mlynski
,
J. Opt. Soc. Am. A
5
,
1554
(
1988
).
22.
M.
Schmidt
and
H.
Schmiedel
,
Mol. Cryst. Liq. Cryst.
172
,
223
(
1989
).
23.
S.
Saito
,
M.
Kamihara
, and
S.
Kobayashi
,
Mol. Cryst. Liq. Cryst.
139
,
171
(
1986
).
24.
T. J.
Scheffer
and
J.
Nehring
,
Appl. Phys. Lett.
45
,
1021
(
1984
).
25.
D. W.
Berreman
and
W. R.
Heffner
,
J. Appl. Phys.
52
,
3032
(
1981
).
26.
H. K.
Singh
,
S. C.
Jain
, and
S.
Chandra
,
Liq. Cryst.
5
,
1373
(
1989
).
27.
E. P.
Raynes
,
Mol. Cryst. Liq. Cryst. Lett.
4
,
1
(
1986
).
28.
C.
Van Doorn
and
J.
Heldens
,
Phys. Lett.
47A
,
135
(
1974
).
This content is only available via PDF.
You do not currently have access to this content.