Analysis of chromatic dispersion-induced second-harmonic distortions including laser dynamics to the second order

We perform analysis of chromatic dispersion-induced second-harmonic distortions including laser diode dynamics. Investigating laser diode dynamics fully to the second order, we derive analytical expressions for intensity and frequency modulation indices. Using these, we accurately model chromatic dispersion-induced second-harmonic distortions for signals produced by a directly modulated distributed feedback laser. The results agree well with numerical solutions, as well as with experimental results for a wide range of modulation frequencies and fiber lengths.