This paper shows that, when the pulsewidth is defined as the time interval
within which a given fraction a of the total light energy of the pulse is c
ontained, the signal shape with the smallest dispersion broadening is not G
aussian. The time profiles of the pulses with the greatest dispersion-broad
ening length are presented for all 0<epsilon<1 as superpositions of symmetr
ic Hermitian wave packets. It is demonstrated that the information-transfer
rate can be significantly increased by such pulses by comparison with Gaus
sian signals of the same initial width. (C) 1999 The Optical Society of Ame
rica. [S1070-9762(99)00302-4].