Polarizing microscope textures of the twist grain boundary A* (TGBA*) phase
are reviewed for two different compounds in different geometries with diff
erent surface treatments giving monostable planar and homeotropic boundary
conditions. The textures are discussed in the light of the helical structur
e of the TGBA* phase. Depending on the compound, the underlying phase is ei
ther SmA* or SmC*, whereas the adjacent phase at higher temperature is chol
esteric (N*). Sample preparations in wedge-shaped cells subjected to a slig
ht temperature gradient exhibit TGBA* textures much more typical for the ch
olesteric than for the ordinary SmA* phase. For instance, Grandjean steps a
nd fingerprint textures are observed for planar and homeotropic boundary co
nditions, respectively. Preparation of smectic droplets clearly reveals the
helical axis of the TGBA* phase to be perpendicular to the helical axis of
the helielectric SmC* phase. For thin samples, a suppression of the TGBA*
helix leading to a surface-induced structure corresponding to a conventiona
l bulk SmA* phase is observed. Under certain conditions, a cholesteric phas
e in the vicinity of a twist inversion point may exhibit very similar textu
res to the TGBA* phase near the transition to the SmA* phase. On exemplifie
d textures similarities are discussed and differences pointed out.