GOPhPol

GOPhPol
is an option to decide, which polarization has to be used in calculations of photonic band structures.

DetailsDetails

  • In a 1D problem it is assumed, that the light is propagating perpendicular to the stack of layers. In such a case the problem is independent of the polarization.
  • In a 3D case no separation of the polarization directions is possible in the definition of the eigenvalue problem.
  • Two-dimensional photonic crystals are translational invariant in z-direction and are lattice periodic in the x-y-plane. Usually the light is considered to penetrate the structure in the x-y-plane. In this case the master equation separates for the two polarization directions. The two independent polarizations can be considered independently.
  • Typical values for GOPhPol are:
  • "Automatic"No special definition necessary (1D and 3D problems)
    "E" or "TM"TM polarization
    "H" or "TE"TE polarization
  • This option is used by: GTPhMaster bullet GTPhMasterEquation bullet GTPhMasterObjects bullet GTPhMasterPixel
  • See: J.D. Joannopoulos, R.D. Meade, J.N. Winn, Photonic Crystals - Molding the Flow of Light, Princeton University Press, 1995
  • W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

First load the package:

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Dielectric Stack

A dielectric stack is considered.In this case it is not necessary to specify the polarization.

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Calculate the path in k-space.

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Calculate and plot the photonic band structure.

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Two-dimensional photonic crystal

The structure is two-dimensional, i.e. the polarization has to be TE or TM. At first, the structure is defined.

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The reciprocal lattice vectors are calculated.

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The master equation is set up as an eigenvalue problem for TM polarisation.

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The k-path is defined. The photonic band structure is calculated and plotted.

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