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Photonic crystal structures

Precise simulation of large area photonic crystal devices

Planar photonic crystal devices allow to integrate complex optical functions in small-area photonic devices. For design and optimization of such structures simulations are very helpful.

PhC W1 Waveguide Geometry

Fig. 1: Geometry of a photonic crystal W1 waveguide.

Figure 1 shows the geometry of a typical building block of such devices, a W1 photonic crystal waveguide. It consists of a slab waveguide perforated by a periodic pattern of air holes where one row of holes is missing and forms a waveguide for light frequencies within the bandgap of the periodic structure. Figure 2 shows a detail of the geometry and part of the triangular discretization. A guided mode of the waveguide entering the computational domain on the left side, at chosen wavelength, is applied as source field. The time-harmonic near field solution is then computed with JCMsuite's light scattering module JCMharmony. From the nearfield, experimental observables like transmission and reflection are computed using automatic postprocesses.

PhC W1 Waveguide Mesh

Fig. 2: Detail of the triangular mesh, created with JCMgeo.

Field distribution

Fig. 3: Real part of the electric field distribution in a pseudocolor representation (visualization: JCMview).

Figure 3 shows the real part of the z-polarized electric field, Figure 4 shows the corresponding phase distribution. Computation time for the displayed example is below 10 seconds (standard PC, single-thread, using third order finite elements and adaptive grid refinement). The transmission at the given specific wavelength is computed to a relative precision of about 0.1%.

Phase distribution

Fig. 4: Phase distribution of the electric field in a pseudocolor representation (visualization: JCMview).

Please note that the waveguides entering and leaving the computational domain are treated rigorously within JCMsuite. Therefore they do not lead to any artificial reflections at the boundaries.