The effect of extremely low frequency primordial gravitational wave with
arbitrary direction of propagation on a non-aligned gravitational lens system
is investigated. From the point of view of real astrophysical observation,
singular isothermal sphere lens model is adopted in the gravitational lens
system. The results show that, under the perturbation from extremely low
frequency primordial gravitational wave, time delay and flux magnification in
the gravitational lens system could strongly deviate from that deduced from
theoretical model. This means that the strongly deviate time delay as well as
flux magnification could be the imprint of extremely low frequency primordial
gravitational wave on gravitational lens system, indicating that gravitational
lens system could be used as a long baseline detector to detect extremely low
frequency primordial gravitational wave.Comment: 8 pages, 8 figure