The phonon spectra of unstrained and strained quasiperiodic semiconduc
tor superlattices (QSSL) have been calculated using one-dimensional li
near chain model. We consider two types of quasiperiodic systems, name
ly canter triadic bar (CTB) and Fibonacci sequences (FS), constituting
of AlAs, GaAs and GaSb of which the latter two have a lattice mismatc
h of about 7%. The calculations have been made using transfer matrix m
ethod and also with and without the inclusion of strain. We present th
e results on phonon spectra of two component CTB and two as well as th
ree component FS semiconductor superlattices (SSL), thickness and orde
r dependence on LO mode of GaAs, effect of strain on LO frequency of G
aAs. The calculated results show that the strain generated due to latt
ice mismatch reduces significantly the magnitudes of the confined opti
cal phonon frequency of GaAs.