Micro Lens

The example is an adaption to the single photon source design in Gschrey et al. [1]. The geometry consists of a multi-layer substrate which serves as Bragg mirror and a micro lens on top, a quantum dot is situated within the top layer:

_images/mesh8.png

Schematics of the geometry of a micro lens with Bragg mirror (rotationally symmetric)

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

The following figures show near field intensities and far fields of three dipoles with different polarizations for a spherical micro lens (with different scalings of the pseudo color plots):

Intensities of x, y, and z-polarized dipoles (@ 969\mathrm{nm}), spherical micro lens)
intensity_x-pol-spherical intensity_y-pol-spherical intensity_z-pol-spherical
Upper far fields (in air) of x, y, and z-polarized dipoles (@ 969\mathrm{nm}), spherical micro lens)
farfield_upper-x-pol-spherical farfield_upper-y-pol-spherical farfield_upper-z-pol-spherical
Lower far fields (in substrate) of x, y, and z-polarized dipoles (@ 969\mathrm{nm}), spherical micro lens)
farfield_lower-x-pol-spherical farfield_lower-y-pol-spherical farfield_lower-z-pol-spherical

Bibliography

[1]
  1. Gschrey, et al., Highly indistinguishable photons from deterministic quantum-dot micro lenses utilizing three-dimensional in situ electron-beam lithography. Nat. Comm. 6, 7662 (2015).