A detailed theoretical study of interband optical transitions in InAs/
InxGa1-xSb superlattices (SL's), assumed to be grown on [100] GaSb sub
strates, is presented. The SL band structure is calculated from a seco
nd-order 8x8 k . p model that includes strain to first order in k, as
well as strain-induced corrections to the spin-orbit interaction. The
eigenvalues and eigenfunctions of the SL are evaluated exactly by diag
onalizing the SL Hamiltonian within a scheme that does not require tre
ating the second-order k . p terms perturbatively, and does not give s
purious eigenvalues;and eigenvectors. The bulk anisotropies in the ban
d structure, critical in calculating the momentum matrix elements, are
fully represented in the SL Hamiltonian. Additional bulk anisotropies
arising from the k dependence of the strain are included. The strong
anisotropies in the SL momentum matrix element and band structure dict
ate that the interband linear optical-absorption coefficient cannot be
reasonably approximated by simply employing zone-center matrix elemen
ts to evaluate the absorption integral. For a strongly type-II SL, thi
s approach would yield spurious peaks in the spectra. A more fundament
al numerical approach is, therefore, essential and, to this end, the L
ehmann-Taut algorithm is employed. Detailed structures attributable to
the joint density of states are revealed in the calculated spectra.