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eff in Eq. (30), of the chirped continuum is correspondingly broader than the spectral width of the fundamental pulse in this case. Of course, if the continuum is filtered to have exactly the same spectral width as the fundamental, the filtered pulse has a longer duration that the fundamental because it is not FT limited.
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3843102312
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In this paper the propagation effect is ignored. When a δ-function probe pulse is incident upon a sample, the sample thickness must always be taken into account. Then the unperturbed probe pulse without excitation suffers deformation because of the linear absorption or dispersion effects during propagation and cannot be regarded as a δ function in the sample. As a result, the pump-induced change causes modulation effects and does not strictly satisfy the causality condition. Therefore the discussion here is valid when the propagation effect is not significant.
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