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While the spectrogram is very useful, it is not considered to be the ideal time-and frequency-resolved quantity. The Wigner distribution and wavelet transform, for example, are much more popular at the moment. In the authors' opinions, however, it is the spectrogram, or, more precisely, the FROG trace, that is the most easily experimentally measured time-and frequency-resolved quantity for ultrashort pulses. The above mentioned alternative measures require such quantities as a time-reversed replica of the pulse or a variable-frequency and simultaneously variable-length window. Such quantities are quite difficult to obtain optically. On the other hand, the spectrogram's main inadequacy is that its fixed-length window cannot simultaneously provide good resolution of both long-and short-term variations. This is not a problem in ultrashort-pulse measurement, where the dynamic range of variations is typically much smaller than that in acoustics problems, for example. It may also be the case that, because in FROG the gate has exactly those time scales as the pulse, FROG may actually avoid the above problem in general, but we have not investigated this issue as yet.
-
While the spectrogram is very useful, it is not considered to be the ideal time-and frequency-resolved quantity. The Wigner distribution and wavelet transform, for example, are much more popular at the moment. In the authors' opinions, however, it is the spectrogram, or, more precisely, the FROG trace, that is the most easily experimentally measured time-and frequency-resolved quantity for ultrashort pulses. The above mentioned alternative measures require such quantities as a time-reversed replica of the pulse or a variable-frequency and simultaneously variable-length window. Such quantities are quite difficult to obtain optically. On the other hand, the spectrogram's main inadequacy is that its fixed-length window cannot simultaneously provide good resolution of both long-and short-term variations. This is not a problem in ultrashort-pulse measurement, where the dynamic range of variations is typically much smaller than that in acoustics problems, for example. It may also be the case that, because in FROG the gate has exactly those time scales as the pulse, FROG may actually avoid the above problem in general, but we have not investigated this issue as yet.
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