Lie Groups in Electromagnetic Wave Propagation and Scattering
Abstract
The theory of Lie algebras and their classification based on Dynkin diagrams is reviewed and application of the theory to vector wave scattering and propagation is outlined. The main applications arise through the matrix exponential function and associated matrix representations for the underlying groups. By projecting experimental measurements onto the eigenvectors of these basis elements, clear physical significance may be attached to the propagation operators. A new method for dealing with partially coherent propagators is outlined and an example for backscatter from a cloud of dipoles is used to illustrate the technique.
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A classical Mueller matrix is always equivalent to a quantum completely positive map and not, for example, to a positive map.
“It worth to note ͓37͔ that a classical Mueller matrix is always equivalent to a quantum CP map and not, for example, to a positive map.”
From Linear optics and quantum maps (2007) · cites this paper as [37]
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MethodAn application example of Cloude approach in radar polarimetry
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“e physics of light polarization optics, it only discusses group theoretical foundation for Stokes-Mueller vectors and Jones spinors formalisms. To fill up this gap we give rather detailed bibliography [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,…”
BackgroundPereda-Cubián, D., Arce-Diego, J. L., Fanjul-Vélez, F., & Wang, L.-H. V. (2006) · Photonics Prague · doi:10.1117/12.675868
Extension of the Kennaugh null theory
Yang, J., Peng, Y., Yamaguchi, Y., & Yamada, H. (2000) · 2000 5th International Symposium on Antennas, Propagation, and EM Theory. ISAPE 2000 (IEEE Cat. No.00EX417) · doi:10.1109/isape.2000.894726
- Authors
- Cloude, S. R.
- Affiliations
- University of York (GB)
- Corresponding author
- Cloude, S.R.
- ORCID
- Cloude, S.R.
- Venue
- Journal of Electromagnetic Waves and Applications
- Publisher
- Informa UK Limited
- Published
- 1992-01-01
- Volume
- 6
- Issue
- 7
- Pages
- 947-974
- ISSN
- 0920-5071 (ISSN-L)
- 1569-3937
- OpenAlex
- W1509525504
- Cited by
- 36
- References
- 0
- Citations by year
- 2022: 1 · 2016: 1 · 2014: 2 · 2013: 1 · 2012: 4
- FWCI
- 0.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Electromagnetic Waves and Applications (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Electromagnetic Scattering and Analysis
- Physical Sciences › Engineering › Aerospace Engineering › Radio Wave Propagation Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- Lie groups, Lie algebras, Dynkin diagrams, electromagnetic wave propagation, matrix exponential, matrix representation, eigenvectors, backscattering
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