Micro Pillar¶

The example is inspired by Gregersen et al. [1] where a quantum dot is placed in a micro pillar to produce a single photon source. However, we have simplified the problem so that the 3D computations run smoothly on a laptop computer:

Micro cavity geometry¶

Note

Exploiting the rotational symmetry of the geometry, the same problem is solved in the next section Rotationally Symmetric Emitter.

The following figure shows the field intensities for $x$ , $y$ , and $z$ -polarized dipoles placed in the center of the cavity.

Field intensities for $x$ , $y$ , and $z$ -polarized dipoles¶

The far field data is the electromagnetic field on a infinitely far distant hemisphere above or below the micro pillar. As normalization, the far field data as returned by the FarField post process, refers to a hemisphere with distance $1 \mathrm{m}$ to the origin. The outputs of the FarField yields these fields in 2D polar coordinates. JCMsuite visualizes the far field on a polar disk:

Upper (in air) far fields of $x$ , $y$ , and $z$ -polarized dipoles in polar coordinates¶

Lower (in substrate) far fields of $x$ , $y$ , and $z$ -polarized dipoles in polar coordinates¶

Parameter Scan

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