Pulse broadening in multimode graded-index fibres

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Abstract
A closed-form expression is obtained for pulse broadening in graded-index fibres with k2(r)=1−r2+ε2r4+…+εnr2n. Pulse broadening for k2(r)=1−r2+0.615r4+70r6 and r<0.1 is 12 times smaller than for square-law fibres if material dispersion is neglected.