  We analyze the effects of the electronic coupling to bosonic modes in a
d-wave superconductor. The role of the scattering due to boson on the momentum
transfer between electronic states in the Brilloine zone is addressed. We
consider specific examples of $B_{1g}$ phonon, breathing mode phonon and spin
resonance at $(\pi,\pi)$. The Fourier spectrum of the energy derivative local
density of states (LDOS) is calculated. To properly calibrate the effects of
different modes we fix the quasipartilce renormalization at specific momentum
points. It is found that the $B_{1g}$ mode with highly anisotropic
momentum-dependent coupling matrix element gives rise to well definded features
in the Fourier spectrum, at the energy of mode plus gap, with a momentum
transfer along the Cu-O bond direction of cuprates. This result is in a
striking contrast to the cases of the coupling to other modes and also to the
case of no mode coupling. The origin of this difference is explored in detail.
A comparison with the recent STM experiments is briefly discussed.
