Geometric Visualization of the 3D Polarimetric Information of an Arbitrary Electromagnetic Field

The geometric visualization in this study concerns the three−dimensional (3D) polarimetric information of an arbitrary electromagnetic field. Based on previous research, a 3 × 3 coherency matrix Φ can be decomposed into an incoherent superposition of a totally 3D−polarized component Φ3D_p, a specifi...

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Bibliographic Details
Published in:Photonics 2023-09, Vol.10 (9), p.1040
Main Authors: Li, Yahong, Li, Bosong, Wei, Wenhao, Zeng, Xiangwei, Fu, Yuegang, Zhao, Yu
Format: Article
Language:English
Subjects:
3D polarization
Decomposition
degree of polarization
Electric fields
electromagnetic field
Electromagnetic fields
Electromagnetism
Mathematical analysis
Polarimetry
Polarization
Visualization
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Summary:The geometric visualization in this study concerns the three−dimensional (3D) polarimetric information of an arbitrary electromagnetic field. Based on previous research, a 3 × 3 coherency matrix Φ can be decomposed into an incoherent superposition of a totally 3D−polarized component Φ3D_p, a specific partially 3D−polarized component Φ3D_pp with a 3D degree of polarization (DoP) of 1/2, and a totally 3D−unpolarized component Φ3D_up. Combining the physical meaning of this decomposition, we mathematically construct three polarization purities, namely, P3D_p, P3D_pp, and P3D_up, for an arbitrary electromagnetic field to quantify the weight of the three 3D−polarized components. In order to show the proportion of the three polarized components of an electromagnetic field intuitively, we propose a geometric representation of a spatially quadric surface. Finally, two examples are cited to demonstrate the applicability of intuitively displaying the 3D polarimetric information of an arbitrary electromagnetic field.
ISSN:2304-6732
2304-6732
DOI:10.3390/photonics10091040