  Recent Planck results motivated us to use non-Bunch-Davies vacuum. In this
paper, we use the excited-de Sitter mode as non-linear initial states during
inflation to calculate the corrected spectra of the initial fluctuations of the
scalar field. First, we consider the field in de Sitter space-time as
background field and for the non-Bunch-Davies mode, we use the perturbation
theory to the second order approximation. Also, unlike conventional
renormalization method, we offer de Sitter space-time as the background instead
Minkowski space-time. This approach preserve the symmetry of curved space-time
and stimulate us to use excited mode. By taking into account this alternative
mode and the effects of trans-Planckian physics, we calculate the power
spectrum in standard approach and Danielsson argument. The calculated power
spectrum with this method is finite, corrections of it is non-linear, and in de
Sitter limit corrections reduce to linear form that obtained from several
previous conventional methods.
