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Recent Planck results motivated us to use non-Bunch-Davies vacuum. In thispaper, we use the excited-de Sitter mode as non-linear initial states duringinflation to calculate the corrected spectra of the initial fluctuations of thescalar field. First, we consider the field in de Sitter space-time asbackground field and for the non-Bunch-Davies mode, we use the perturbationtheory to the second order approximation. Also, unlike conventionalrenormalization method, we offer de Sitter space-time as the background insteadMinkowski space-time. This approach preserve the symmetry of curved space-timeand stimulate us to use excited mode. By taking into account this alternativemode and the effects of trans-Planckian physics, we calculate the powerspectrum in standard approach and Danielsson argument. The calculated powerspectrum with this method is finite, corrections of it is non-linear, and in deSitter limit corrections reduce to linear form that obtained from severalprevious conventional methods.

Non-Linear Trans-Planckian Corrections of Spectra due to the Non-trivial Initial States