A system and method for high power parametric amplification based on performing amplification in a frequency domain after time domain pulses are optically Fourier transformed, to overcome bandwidth limitations. In a nutshell, a first optical Fourier transformation of a seed spectrum is performed and parametric amplification is carried out in this spatially dispersed frequency plane. As a consequence, individual parts of the spectrum can be amplified using an optical amplification medium comprising a series of optical amplification units, such as different narrowband crystals, placed one next to each other. Each crystal is tuned independently to optimize its corresponding spectral slice. A second optical Fourier transformation recovers the time domain laser pulses. This method enables scalability of amplified bandwidth and pulse energy at the same time.