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JCMsuite: The Complete Solution

Optical waveguide design

Problem class: Optical waveguide modes

JCMsuite contains the module JCMmode for the solution of optical waveguide problems i.e. the computation of 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 (left) and an integrad optical waveguide (middle). The application section waveguide modes shows numerous other waveguide structures. waveguides

Mathematical Definition

To compute waveguide modes, we solve Maxwell's curl-curl equation 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 end 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) k_z. JCMmode solves also the corresponding formulation for the magnetic field H (x,y).

 
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