ABSTRACT
A waveguide problem is a classic two-dimensional problem. Its formulation is discussed in Section 15.1 and we will concentrate on this problem to begin with. For convenience, we will repeat Equation 15.6 and for TM modes:
−∇ = =t 2 where on the closed boundaryF F Fλ , ,0 (16.1)
where the Laplacian operator in the transverse plane is
−∇ = −
∂ ∂ +
∂ ∂
⎡
⎣
⎢
⎤
⎦
⎥
2x y .