From Maxwell's equations, we have
From Eq. (10.24), we have
Let us consider the case of a single polarization:
From Eq. (10.42), we have
Here, we have ignored the subscripts 'xx' and 'xxxx'. For a dispersive medium, the first-order susceptibility is a function of frequency (see Eq. (10.22)). Since the product in the frequency domain becomes a convolution in the time domain, for a dispersive medium, Eq. (B.5) should be modified as
where denotes convolution. An optical pulse propagating down the fiber has rapidly varying oscillations ...