This paper reports the theoretical study on the transmission efficiency

bandwidth and frequency shift of anomalous dispersion atomic optical filter with off-axis incident beam.The experimental transmission spectrum of anomalous dispersion atomic optical filter with off-axis incident beam is given in this paper

which agrees well with the theoretical result.The results will give the theoretical foundation for the use of anomalous dispersion atomic optical filter in a wide field-of-view acquisition approach of inter-satellite or free space laser communications

which will be propitious to the pointing and acquisition in free space.