Gravitational Lensing by Dark Matter Halos

In the last two years, with the confirmation of gravitational waves, its clear that a new window in the area of professional astronomy has opened; in particular "gravitational wave astronomy". In this work we study the magnification effects of the amplitude of the gravitational wave due to a spherically symmetric distribution of mass between the source and the observer. The effect on the wave amplitude is via the magnification function, a procedure developed originally by T.T. Nakamura and S. Deguchi (PTP Supp 133, 137. 1999) via de deflection integral formula. We concentrate our efforts particularly on studying the effects of realistic dark matter haloes on the gravitational wave, in the hope that the magnification effect may be used to distinguish between different dark matter halo density profiles.