We demonstrate that an arbitrary system of screw dislocations in a smectic-
A liquid crystal may be consistently treated within harmonic elasticity the
ory, provided that the angles between dislocations are sufficiently small.
Using this theory, we calculate the ground-state configuration of the TGB(A
) phase. We obtain an estimate of the twist-grain-boundary spacing and scre
w dislocation spacing in a boundary in terms of the macroscopic parameters,
in reasonable agreement with experimental results.