Poincaré sphere of electromagnetic spatial coherence
We introduce a Poincaré sphere construction for geometrical representation of the state of two-point spatial coherence in random electromagnetic (vectorial) beams. To this end, a novel descriptor of coherence is invoked, which shares some important mathematical properties with the polarization matri...
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| Veröffentlicht in: | Optics letters 2021-05, Vol.46 (9), p.2143-2146 |
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| container_issue | 9 |
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| container_title | Optics letters |
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| creator | Laatikainen, Jyrki Friberg, Ari T Korotkova, Olga Setälä, Tero |
| description | We introduce a Poincaré sphere construction for geometrical representation of the state of two-point spatial coherence in random electromagnetic (vectorial) beams. To this end, a novel descriptor of coherence is invoked, which shares some important mathematical properties with the polarization matrix and spans a new type of Stokes parameter space. The coherence Poincaré sphere emerges as a geometric interpretation of this novel formalism, which is developed for uniformly and nonuniformly fully polarized beams. The construction is extended to partially polarized beams as well and is demonstrated with a field having separable spatial coherence and polarization characteristics. At a single point, the coherence Poincaré sphere reduces to the conventional polarization Poincaré sphere for any state of partial polarization. |
| doi_str_mv | 10.1364/OL.422917 |
| format | Article |
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| ispartof | Optics letters, 2021-05, Vol.46 (9), p.2143-2146 |
| issn | 0146-9592 1539-4794 |
| language | eng |
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| source | Optica Publishing Group Journals |
| subjects | Beams (radiation) Coherence Mathematical analysis Matrix methods Poincare spheres Polarization characteristics Stokes parameters |
| title | Poincaré sphere of electromagnetic spatial coherence |
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