  We revisit the estimation of higher order corrections to the angular power
spectra of weak gravitational lensing. Extending a previous calculation of
Cooray and Hu, we find two additional terms to the fourth order in potential
perturbations of large-scale structure corresponding to corrections associated
with the Born approximation and the neglect of line-of-sight coupling of two
foreground lenses in the standard first order result. These terms alter the
convergence ($\kappa\kappa$), the lensing shear E-mode ($\epsilon\epsilon$),
and their cross-correlation ($\kappa\epsilon$) power spectra on large angular
scales, but leave the power spectra of the lensing shear B-mode ($\beta\beta$)
and rotational ($\omega\omega$) component unchanged as compared to previous
estimates. The new terms complete the calculation of corrections to weak
lensing angular power spectra associated with both the Born approximation and
the lens-lens coupling to an order in which the contributions are most
significant. Taking these features together, we find that these corrections are
unimportant for any weak lensing survey, including for a full sky survey
limited by cosmic variance.
