Rotationally Symmetric Emitter¶

The example is taken from Gregersen et al. [1]. The geometry is a non-ideal micro pillar:

Single Photon Pillar Emitter (rotationally symmetric)¶

The multilayers are simply created in the layout file layout.jcm by the special primitive MultiLayer whose outer shape is a trapezoid (see below ).

Parameter scan

The Matlab® script data_analysis/run_scan_wavelength.m provides a scan over the wavelength of the dipole source producing the following plots showing the efficiency and the Purcell factor of the device (here for a straight pillar):

_images/efficiency_purcell_factor_versus_wavelength.png

Left: Efficiency of the micro-pillar emitter with respect to the wavelength. Right: Purcell factor¶

Warning

As the sampling rate of the wavelength scan was $0.1 \mathrm{nm}$ the maximum value of the Purcell factor is missed (much higher than 80).

Near field and far field plots @ $969\mathrm{nm}$

The following figures show the near field intensities and the far fields of the three dipoles for a straight pillar and the above non-perfect pillar

Straight Pillar

(The false color plots for the vertical dipole $z$ -polarized is differently scaled to the horizontal dipoles).

Intensities of $x$ , $y$ , and $z$ -polarized dipoles (@ $969\mathrm{nm}$ ), straight pillar)¶

Upper far fields (in air) of $x$ , $y$ , and $z$ -polarized dipoles (@ $969\mathrm{nm}$ ), straight pillar)¶

Lower far fields (in substrate) of $x$ , $y$ , and $z$ -polarized dipoles (@ $969\mathrm{nm}$ ), straight pillar)¶

Trumpet Pillar

Intensities of $x$ , $y$ , and $z$ -polarized dipoles (@ $969\mathrm{nm}$ ), oblique pillar)¶

Upper far fields (in air) of $x$ , $y$ , and $z$ -polarized dipoles (@ $969\mathrm{nm}$ ), oblique pillar)¶

Lower far fields (in substrate) of $x$ , $y$ , and $z$ -polarized dipoles (@ $969\mathrm{nm}$ ), oblique pillar)¶

Definition of the multilayer stack

To define the multilayer stack we used

MultiLayer {
   ...
  SubLayers {
    Layer {
      DomainId = 2
      Height = 79
    }
    Layer {
      DomainId = 3
      Height = 72
    }
    Multiplicity = 29
  }
  Layer {
    DomainId = 2
    Height = 79
  }

  Layer {
    DomainId = 3
    Height = 294
  }

  SubLayers {
    Layer {
      DomainId = 2
      Height = 79
    }
    Layer {
      DomainId = 3
      Height = 72
    }
    Multiplicity = 26
  }

   ...
}

The sections Layer and SubLayers are used to define the repeated layers. The excitation are dipole sources placed in the center layer of the pillar. In a post-process we compute the dipole emission and the Fourier transform of the far field.

Bibliography

[1]	Gregersen, T. R. Nielsen, et al., Quality factors of nonideal micro pillars, APPLIED PHYSICS LETTERS 91, 011116 (2007)