Periodic dielectric waveguide in 2D

A series of dielectric squares,
2D simulations of configurations with the following specification:
background refractive index 1.0,
permittivity of the dielectric squares 12,
square edges 0.4 µm,
period *Λ* = 1 µm.
All calculations are meant for TE polarization, i.e. *E _{y}*
is the single nonvanishing component of the electrical field.

The parameter set has been adapted from J.D. Joannopoulos et al., *Photonic Crystals
- Molding the Flow of Light*, Princeton University Press, 2008.
The BEP simulations are based on a piecewise spectral discretization
with wavelength adapted computational window and
wavelength adapted number of modal expansion terms.

Band structure diagram

Normalized angular frequency *ω* (= period / vacuum wavelength) versus the normalized
wavenumber *β* of guided Floquet-Bloch modes.
The links at the positions indicated by the tick
marks lead to illustrations of the time dependent electric fields associated with
the propagation of the Floquet-Bloch modes.