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 F = λ F , where F = 0 on the closed boundary , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn16_1.jpg"/> where the Laplacian operator in the transverse plane is − ∇ t 2 = − ∂ 2 ∂ x 2 + ∂ 2 ∂ y 2 . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn16_2.jpg"/>
