GroupTheory`
GroupTheory`

GTPhDielectric

GTPhDielectric[reciprocal lattice vector,structure,permittivity structure,permittivity background,geometry]

gives the Fourier transform of .

Details and Options

  • The permittivity does not enter the master equation directly, but the Fourier transform of . If the structure is geometrically simple, the Fourier transform can be evaluated analytically. Such Fourier transforms are implemented via GTPhDielectric. The Fourier transform is evaluated at a certain reciprocal lattice vector for a structure.
  • If structure = "Help" is used, all implemented structures together with the meaning of the list geometry are listed.
  • The dielectric contrast is given by permittivity structure and permittivity background.
  • See: K. Sakoda, Optical Properties of Photonic Crystals, Springer, 2001
  • W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 10.4
  • This module will finally be substituted by GTPhDCObjects.

Examples

Basic Examples  (3)

First load the package:

Check, which structures are implemented:

Define the permittivity for the structure and the background:

CircularRod

The list geo contains structural parameters.

Sphere