The infrared absorption in isotopically disordered anharmonic crystals
is theoretically investigated using double time thermal Green's funct
ion technique. The Hamiltonian used in the study includes the cubic an
d quartic anharmonicities alongwith the terms associated with the crys
tal defects. The total i.r. absorption in impurity induced anharmonic
crystals is obtained as the sum of diagonal and non-diagonal terms. Th
e diagonal terms can be further separated into defect dependent, anhar
monic and impurity-anharmonicity cross term contributions, the non-dia
gonal terms chiefly depend on mass change parameters and vanishes in t
he absence of impurities. The impurity-anharmonicity interactions invo
lve defect and anharmonic parameters simultaneously and contribute sig
nificantly to the absorption coefficient. A brief description of impur
ity modes, phonon life times and strength of absorption is given with
special reference to impurity-anharmonicity interactions to study the
effects of temperature, frequency and impurity concentration on optica
l absorption.