Coupled Mode Formalism: Connecting Phasor, Matrix, and Geometrical Approaches

摘要

In this report, we examine the formalism of coupled mode theory from several viewpoints, using the fiber optic directional coupler as a model problem to unify the discussion. With this model, we present the basic maps and tools used in describing coupled systems, emphasizing the connections between the approaches by using a consistent notation across phasor, matix algebra, and geometrical descriptions.