The anisotropic optical response of (2 x 4) As-terminated and (4 x 2)
Ga-terminated beta and beta 2 GaAs(001) surfaces is studied by using f
irst-principles nonlocal pseudopotentials in a density-functional-theo
ry framework within the local-density approximation. The calculated su
rface dielectric function anisotropy agrees well with reflectance-diff
erence spectroscopy experiments for the As-terminated beta 2 surface a
nd for the Ga-terminated beta and beta 2 surfaces. Most of the calcula
ted anisotropy comes from transitions involving only subsurface, bulkl
ike electronic states that are perturbed by the surface; states confin
ed at the surface, including those localized at the surface dimers, co
ntribute little to the anisotropy.