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Modal and chirp characteristics of gain-coupled DFB diode lasers are investigated by new dynamic analysis including variations in gain-coupling with electron density, facet reflection phase, spontaneous emission, and hole burning along the laser.Optical sources with low chirp and reliable single mode performance are important for high bit rate communications systems. The emphasis of the paper is on gain-coupled distributed feedback lasers (GC-DFB) [1,2,3] and designs for single frequency output which are insensitive to changes of facet phase. A recently developed power-matrix technique [4] is used to give a new large signal dynamic analysis of GC-DFB diode lasers where the gain-coupling coefficient changes with electron density. Arbitrary mixtures of gain and index coupling can also be studied.