  We investigate the scattering properties of an anti-parity-symmetric
non-Hermitian system. The anti-parity-symmetric scattering center possesses
imaginary nearest-neighbor hoppings and real onsite potentials, it has been
experimentally realized through dissipative coupling and frequency detuning
between atomic spin waves. We find that such anti-parity-symmetric system
displays three salient features: Firstly, the reflection and transmission are
both reciprocal. Secondly, the reflection and transmission probabilities
satisfy R+T=1 or R-T=1, which depends on the parity of the scattering center
size. Thirdly, the scattering matrix satisfies (S_z)(S_z)*=I for scattering
center with even-site; for scattering center with odd-site, the dynamics
exhibits Hermitian scattering behavior, possessing unitary scattering matrix
SS{\dag}=I.
