Lightwave Engineering

M	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 A₀e^pz, which is assumed to be the solution (conventional means of determining the response of linear electrical circuits). As the same approach can ...