Materials described by the constitutive relations sigma(ji)=mu gamma(j
i)+mu gamma(ji)+lambda(gamma kappa kappa)delta(ij)+c kappa(ji) and i)=
(xi+epsilon)kappa(ji)+(xi-epsilon)kappa(ij)???? +eta kappa(kappa kappa
)delta(ij)+c gamma(ji) lack inversion symmetry due to chirality in the
ir microstructures. Six wavenumbers are possible solutions for dispers
ion equations in acoustically active (chiral) medium. Two of these wav
enumbers represent longitudinally polarized elastic waves, the remaini
ng four wavenumbers stand for circularly polarized elastic waves. In t
his paper, reflection characteristics of elastic waves normally imping
ing upon achiral-chiral interfaces are thoroughly discussed. The effec
ts of the constitutive parameters of chiral medium on reflection coeff
icients are elucidated. Simulation results illustrate that reflection
coefficients may vanish by properly tailoring constitutive parameters
of chiral medium. The methods for determining constitutive parameters
of chiral medium for zero reflection at achiral-chiral interfaces are
developed. Results obtained in this study can be applied for designing
state-of-the-art acoustic materials; e.g. acoustic shielding and abso
rptive materials, using chiral composites.