We have developed a method based on transmission matrices that allows us to compute the emission spectrum of arbitrarily complicated semiconductor laser structures below and above threshold. These can include active and passive periodic or uniform sections. As examples, we compute the emission spectrum of a normal Distributed Feedback (DFB) laser, a DFB laser with a X/4 phase shifter, and a surface-emitting Distributed Bragg Reflector (DBR) laser. We also discover some interesting features of the spontaneous emission in a periodic waveguide. These can be used to measure the coupling coefficient in a DFB laser with a 7J4phaseshifter.
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