Four Fourier transforms are usually defined, the Integral Fourier transform, the Discrete-Time Fourier transform (DTFT), the Discrete Fourier transform (DFT) and the Integral Fourier transform for periodic functions. However, starting from their definitions, we show that all four Fourier transforms can be reduced to actually only one Fourier transform, the Fourier transform in the distributiona...

Graphene oxide consists of sp3 hybridization due to the presence different oxygen containing functional groups on its edges and basal planes. However, sp3/sp2 can be tuned by various methods. Ion beam irradiation also one methods optimize sp2/sp3 for desirable properties. In this work, graphene films were irradiated with 100 keV Argon ions at fluences varying from 1013 1016 ions/cm2. Synchrotro...