JCMsuite computes waveguide modes (either the electric field, the magnetic field or both) and corresponding propagation constants. Waveguides are structures which are invariant in one spatial dimension (here z-direction) and arbitrarily structured in the other two dimensions. The figure below sketches as examples an optical fiber and an integrated optical waveguide.
To compute waveguide modes, we solve Maxwell's curl-curl Equations in the following form
with its special composition of the electrical field E as product of a field E (x,y) depending just on the position in the transverse plane and a phase factor. Additionally, physically correct boundary conditions are applied. Given the permeability, permittivity and frequency, we solve for pairs of the electric field E (x,y) and the corresponding propagation constant (wavenumber) kz. JCMsuite solves also the corresponding formulation for the magnetic field H (x,y). Mode computation in cylindrical and twisted coordinate systems allows to rigorously compute, e.g., the effect of fiber bending.