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The advances in the field of optical communication have been transforming the modern world for over 30 years. Main elements of this revolution are semiconductor lasers and optical fibers. Their performance is the main factor that limits operation and throughput of fiber-optic networks.
In my work I consider a semiconductor laser subject to filtered optical feedback from two filtering elements —- the 2FOF laser for short. The motivation for this study comes from applications where two filters are used to control and stabilise the laser output. I present an analysis of the basic solutions of the 2FOF laser as described by a mathematical model with delay due to the travel time in the two filter loops. In particular, I compute and represent the solutions as surfaces in a suitable space of parameters and phase space variables. This geometric approach allows me to perform a multi-parameter analysis of the 2FOF laser, which in turn provides comprehensive insight into the solution structure and dynamics of the system. As I show, compared to a laser with a single filtered optical feedback loop, the introduction of the second filter significantly influences the solution structure and, therefore, laser operation.