General Solution of the Coupled Mode Equation

Let us determine the general solution for the coupled mode equation (L.34). Because Equation (L.34) can be broken down into a set of simultaneous first-order differential equations of A(z) and B(z), it can be transformed into a constant coefficient second-order differential equation of A(z) and B(z), when one of the variables is eliminated. The general solution of a constant coefficient second-order differential equation is expressed by the linear combination of two particular solutions, and these particular solutions are determined by substituting A0epz, which is assumed to be the solution (conventional means of determining the response of linear electrical circuits). As the same approach can ...

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