We have solved the boundary value problem associated with the Williams domain mode and the variable grating mode in nematic liquid crystals. Using linearized electrohydrodynamic equations of motion, standard constitutive relations, and experimentally observed material constants, we reproduce the significant experimental observations.

1.
R.
Williams
,
J. Chem. Phys.
39
,
384
(
1963
).
2.
Several workers have contributed to the experimental understanding of the WDM. For a review of this work, see
P. A.
Penz
,
Mol. Cryst.
15
,
141
(
1971
).
3.
W.
Greubel
and
U.
Wolff
,
Appl. Phys. Letters
19
,
213
(
1971
);
see, also,
L. K.
Vistin
,
Kristallografiya
15
,
594
(
1970
)
[
L. K.
Vistin
,
Sov. Phys. Cryst.
15
,
514
(
1970
)].
4.
P. A. Penz and G. W. Ford, Phys. Rev. A (to be published).
5.
W.
Helfrich
,
J. Chem. Phys.
51
,
4092
(
1969
).
6.
S. A.
Pikin
,
Zh. Eksperim. i Teor. Fiz.
60
,
1185
(
1971
)
[
S. A.
Pikin
,
Sov. Phys. JETP
33
,
641
(
1971
)].
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