Jb. Fournier, DILATION SHEATH OF SMECTIC-A FOCAL-CONIC SINGULAR LINES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 2868-2871
We study the validity of the lamellae equidistance approximation withi
n smectic-A focal conics. We show the existence of a lamellae dilation
sheath surrounding the singular lines cores. The dilation is estimate
d using a perturbative model starting from the ideal focal-conic appro
ximation. It is found to decay algebraically away from the singular li
nes cores, and its energy contributes to the total energy of the focal
conic.