Time-to-frequency mapping of optical pulses using accelerating quasi-phase-matching

It is shown theoretically that the temporal profile of an optical pulse can be mapped to the spectral profile of its up-converted harmonic when an accelerating quasi-phase-matching modulation is used. Thus the problem of temporal measurement at a given frequency band is converted to the problem of spectral measurement at another frequency band. These results are developed and numerically demonstrated for the case of second-harmonic generation.