Third-order dispersion in a pair of prisms

The general equation for third-order group velocity dispersion is derived in this paper, which contains all the terms of equation (11) in Arissian and Diels [1], as well as one extra term, which we have verified is not negligible. To verify our equation we have modeled the sum of Gaussian modulated frequencies. We show the electric field of bandwidth limited incident ultrashort pulses with a time duration of: 5 fs, 10 fs, 15 fs, 20 fs, 30 fs and 50 fs after propagating through a pair of identical isosceles prisms for a central frequency of 0.8 mu m and 0.620 mu m. The model is applied by using (a) the finite phase, (b) the phase approximated up to the second-order dispersion and (c) tip to the third-order dispersion for each frequency component of the pulse. Graphs are presented for prisms made with fused silica and SF14.