The commenters describe two numerical methods for calculating quantitative results for short pulse propagation in dispersive media calculated using an asymptotic method in the above-titled paper (see ibid., vol.79, no.10, p.1379-1390, 1991). The author replies that unbeknownst to them, the commenters have provided an independent verification of the complete accuracy of the description of ultrashort pulse propagation in a linear, causally dispersive medium that is afforded by the modern asymptotic theory.>
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Luebbers et al. (1993) studied this question.
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