Resonances

In this tutorial project Resonance modes of a 2D photonic crystal are computed:

The computational domain is in this case defined by a polygon of hexagonal shape with periodic boundaries:

Boundary {
  Class = Periodic
}

An adaptive refinement loop is defined to reach the defined Precision of the eigenvalues:

Project {
  InfoLevel = 3
  Electromagnetics {
    TimeHarmonic {
      ResonanceMode {
        BlochVector = [0.0 3.627598728468437e+006 0.0]
        FieldComponents = ElectricXY
        Accuracy {
          Precision = 0.001
          Refinement {
            MaxNumberSteps = 4
            PreRefinements = 0
          }
        }
        SelectionCriterion {
          NearGuess {
            Guess = 14.0e+014
            NumberEigenvalues = 5
          }
        }
      }
    }
  }
}

The required Guess for the ResonanceMode project is an angular frequency. The eigenmodes with eigenvalues closest to this value will be computed. The BlochVector defines the phase advance across the periodic boundaries for the computed modes. For computing a band diagram this value is modified in an automatic scan.

Setting FieldComponents = ElectricXY yields computation of eigenmodes polarized parallel to the 2D plane in which the geometry is defined.