GroupTheory`
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GTPhPixelStructure[pixel map,modification,structure]

allows to perform a modification of the permittivity distribution defined by a pixel map in the unit cell of a given structure.

Details and Options

  • The permittivity in the unit cell of a two-dimensional structure can be defined by an arrangement of geometric objects of given permittivity, or it is defined in a pixelwise manner. The pixel map is an matrix and defines the subdevision of the unit cell. The entry defines the permittivity of the pixel .
  • The list modification allows the modification of a given pixel map:
  • modification =
  • The list structure defines the structure of the unit cell:
  • structure =
  • and are the side lengths and is the angle enclosed by the two sides.
  • The following options can be given:
  • GOColorScheme"PearlColors"Defines the color scheme
    GOPlot TruePlots the modified structure
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 10.4

Examples

open allclose all

Basic Examples  (1)

First load the package:

A permittivity map is defined.

The unit cell is a square, i.e.

The structure is plotted. There is no modification defined.

With a modification list the permittivity can be changed for certain pixels.

The structure of the unit cell can be modified easily.

Options  (2)

GOColorscheme  (1)

Color Schemes can be selected from Mathematica’s Palette.

GOPlot  (1)

Usually the command is used to check the defined permittivity distribution in the unit cell.

If a modification is defined, it shoud be checked first: