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Can someone help me to understand pulse?

What is the meaning of temporal shape? is it means the intensity distribution of the pulse is following the shape?

What is the relationship between temporal shape and spectral mode distribution?

Is that the fourier transform makes them together? If this is true, then if the temporal shape of the pulse is well defined, then the mode distribution is also fixed?

Thanks for helping

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# Spatio-temporal shape and spectral distribution of pulse

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