Table 1 Transformations to circular polarisation basis.
From: Multi-stage spontaneous symmetry breaking of light in Kerr ring resonators
| Â | Clockwise propagating | Counterclockwise propagating |
|---|---|---|
Left Circ. Polarised | \({U}_{1}=\frac{{{{{{{{{\mathcal{E}}}}}}}}}_{cwx}+{{{{{{{\rm{i}}}}}}}}{{{{{{{{\mathcal{E}}}}}}}}}_{cwy}}{\sqrt{2}}\) | \({U}_{3}=\frac{{{{{{{{{\mathcal{E}}}}}}}}}_{ccwx}+{{{{{{{\rm{i}}}}}}}}{{{{{{{{\mathcal{E}}}}}}}}}_{ccwy}}{\sqrt{2}}\) |
Right Circ. Polarised | \({U}_{2}=\frac{{{{{{{{{\mathcal{E}}}}}}}}}_{cwx}-{{{{{{{\rm{i}}}}}}}}{{{{{{{{\mathcal{E}}}}}}}}}_{cwy}}{\sqrt{2}}\) | \({U}_{4}=\frac{{{{{{{{{\mathcal{E}}}}}}}}}_{ccwx}-{{{{{{{\rm{i}}}}}}}}{{{{{{{{\mathcal{E}}}}}}}}}_{ccwy}}{\sqrt{2}}\) |
