Differential coupled mode analysis and the Poincare sphere.
The use of Poincare sphere visualization of two-coupled-mode problems is reviewed, and a new vector form of the usual integrated optics differential equations is presented. Unlike previous similar treatments involving propagation over discrete uniform intervals, we show the relationship of the differential form of the coupled mode equations to the Stokes-Mueller formalism, using the Feynman-Vernon-Hellwarth method for the twolevel Schrodinger equation. A specific example is given for the tuned fiber coil optical isolator, for which the present method allows a solution by inspection.
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