Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix
This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fund...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bebbington, David [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: IEEE transactions on geoscience and remote sensing - New York, NY : IEEE, 1964, 55(2017), 8, Seite 4296-4313 |
|---|---|
| Übergeordnetes Werk: |
volume:55 ; year:2017 ; number:8 ; pages:4296-4313 |
| Links: |
|---|
| DOI / URN: |
10.1109/TGRS.2017.2690972 |
|---|
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| 520 | |a This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. | ||
| 650 | 4 | |a Antenna height | |
| 650 | 4 | |a bistatic invariants | |
| 650 | 4 | |a Radar antennas | |
| 650 | 4 | |a Radar polarimetry | |
| 650 | 4 | |a Scattering | |
| 650 | 4 | |a Backscatter | |
| 650 | 4 | |a Polarimetry | |
| 650 | 4 | |a spinors | |
| 650 | 4 | |a reciprocity | |
| 650 | 4 | |a Polariscope | |
| 650 | 4 | |a Research | |
| 650 | 4 | |a Backscattering | |
| 650 | 4 | |a Spinors | |
| 650 | 4 | |a Usage | |
| 700 | 1 | |a Carrea, Laura |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |t IEEE transactions on geoscience and remote sensing |d New York, NY : IEEE, 1964 |g 55(2017), 8, Seite 4296-4313 |w (DE-627)129601667 |w (DE-600)241439-9 |w (DE-576)015095282 |x 0196-2892 |7 nnns |
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10.1109/TGRS.2017.2690972 doi PQ20171228 (DE-627)OLC1995919411 (DE-599)GBVOLC1995919411 (PRQ)g1176-54960b635d029f1f6672764e493373ea421ef040b7cfd191075edf51027bb9050 (KEY)0048677920170000055000804296geometricpolarimetrypartiitheantennaheightspinoran DE-627 ger DE-627 rakwb eng 620 550 DNB Bebbington, David verfasserin aut Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. Antenna height bistatic invariants Radar antennas Radar polarimetry Scattering Backscatter Polarimetry spinors reciprocity Polariscope Research Backscattering Spinors Usage Carrea, Laura oth Enthalten in IEEE transactions on geoscience and remote sensing New York, NY : IEEE, 1964 55(2017), 8, Seite 4296-4313 (DE-627)129601667 (DE-600)241439-9 (DE-576)015095282 0196-2892 nnns volume:55 year:2017 number:8 pages:4296-4313 http://dx.doi.org/10.1109/TGRS.2017.2690972 Volltext http://ieeexplore.ieee.org/document/7908985 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-ARC SSG-OLC-TEC SSG-OLC-GEO SSG-OLC-FOR SSG-OPC-GGO SSG-OPC-GEO GBV_ILN_70 AR 55 2017 8 4296-4313 |
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10.1109/TGRS.2017.2690972 doi PQ20171228 (DE-627)OLC1995919411 (DE-599)GBVOLC1995919411 (PRQ)g1176-54960b635d029f1f6672764e493373ea421ef040b7cfd191075edf51027bb9050 (KEY)0048677920170000055000804296geometricpolarimetrypartiitheantennaheightspinoran DE-627 ger DE-627 rakwb eng 620 550 DNB Bebbington, David verfasserin aut Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. Antenna height bistatic invariants Radar antennas Radar polarimetry Scattering Backscatter Polarimetry spinors reciprocity Polariscope Research Backscattering Spinors Usage Carrea, Laura oth Enthalten in IEEE transactions on geoscience and remote sensing New York, NY : IEEE, 1964 55(2017), 8, Seite 4296-4313 (DE-627)129601667 (DE-600)241439-9 (DE-576)015095282 0196-2892 nnns volume:55 year:2017 number:8 pages:4296-4313 http://dx.doi.org/10.1109/TGRS.2017.2690972 Volltext http://ieeexplore.ieee.org/document/7908985 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-ARC SSG-OLC-TEC SSG-OLC-GEO SSG-OLC-FOR SSG-OPC-GGO SSG-OPC-GEO GBV_ILN_70 AR 55 2017 8 4296-4313 |
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10.1109/TGRS.2017.2690972 doi PQ20171228 (DE-627)OLC1995919411 (DE-599)GBVOLC1995919411 (PRQ)g1176-54960b635d029f1f6672764e493373ea421ef040b7cfd191075edf51027bb9050 (KEY)0048677920170000055000804296geometricpolarimetrypartiitheantennaheightspinoran DE-627 ger DE-627 rakwb eng 620 550 DNB Bebbington, David verfasserin aut Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. Antenna height bistatic invariants Radar antennas Radar polarimetry Scattering Backscatter Polarimetry spinors reciprocity Polariscope Research Backscattering Spinors Usage Carrea, Laura oth Enthalten in IEEE transactions on geoscience and remote sensing New York, NY : IEEE, 1964 55(2017), 8, Seite 4296-4313 (DE-627)129601667 (DE-600)241439-9 (DE-576)015095282 0196-2892 nnns volume:55 year:2017 number:8 pages:4296-4313 http://dx.doi.org/10.1109/TGRS.2017.2690972 Volltext http://ieeexplore.ieee.org/document/7908985 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-ARC SSG-OLC-TEC SSG-OLC-GEO SSG-OLC-FOR SSG-OPC-GGO SSG-OPC-GEO GBV_ILN_70 AR 55 2017 8 4296-4313 |
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10.1109/TGRS.2017.2690972 doi PQ20171228 (DE-627)OLC1995919411 (DE-599)GBVOLC1995919411 (PRQ)g1176-54960b635d029f1f6672764e493373ea421ef040b7cfd191075edf51027bb9050 (KEY)0048677920170000055000804296geometricpolarimetrypartiitheantennaheightspinoran DE-627 ger DE-627 rakwb eng 620 550 DNB Bebbington, David verfasserin aut Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. Antenna height bistatic invariants Radar antennas Radar polarimetry Scattering Backscatter Polarimetry spinors reciprocity Polariscope Research Backscattering Spinors Usage Carrea, Laura oth Enthalten in IEEE transactions on geoscience and remote sensing New York, NY : IEEE, 1964 55(2017), 8, Seite 4296-4313 (DE-627)129601667 (DE-600)241439-9 (DE-576)015095282 0196-2892 nnns volume:55 year:2017 number:8 pages:4296-4313 http://dx.doi.org/10.1109/TGRS.2017.2690972 Volltext http://ieeexplore.ieee.org/document/7908985 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-ARC SSG-OLC-TEC SSG-OLC-GEO SSG-OLC-FOR SSG-OPC-GGO SSG-OPC-GEO GBV_ILN_70 AR 55 2017 8 4296-4313 |
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10.1109/TGRS.2017.2690972 doi PQ20171228 (DE-627)OLC1995919411 (DE-599)GBVOLC1995919411 (PRQ)g1176-54960b635d029f1f6672764e493373ea421ef040b7cfd191075edf51027bb9050 (KEY)0048677920170000055000804296geometricpolarimetrypartiitheantennaheightspinoran DE-627 ger DE-627 rakwb eng 620 550 DNB Bebbington, David verfasserin aut Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. Antenna height bistatic invariants Radar antennas Radar polarimetry Scattering Backscatter Polarimetry spinors reciprocity Polariscope Research Backscattering Spinors Usage Carrea, Laura oth Enthalten in IEEE transactions on geoscience and remote sensing New York, NY : IEEE, 1964 55(2017), 8, Seite 4296-4313 (DE-627)129601667 (DE-600)241439-9 (DE-576)015095282 0196-2892 nnns volume:55 year:2017 number:8 pages:4296-4313 http://dx.doi.org/10.1109/TGRS.2017.2690972 Volltext http://ieeexplore.ieee.org/document/7908985 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-ARC SSG-OLC-TEC SSG-OLC-GEO SSG-OLC-FOR SSG-OPC-GGO SSG-OPC-GEO GBV_ILN_70 AR 55 2017 8 4296-4313 |
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Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix |
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Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix |
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geometric polarimetry-part ii: the antenna height spinor and the bistatic scattering matrix |
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Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix |
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This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. |
| abstractGer |
This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. |
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This paper completes the fundamental development of the basic coherent entities in radar polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states, and scattering matrices. The concept of antenna polarization states as contravariant spinors is validated from fundamental principles in terms of Schelkunoff's reaction theorem and the Lorentz reciprocity theorem. In the general bistatic case, polarization states of different wavevectors must be related by the linear scattering matrix. It is shown that the relationship can be expressed geometrically, and that each scattering matrix has a unique complex scalar invariant characterizing a homographic mapping relating pairs of transmit/receive states for which the scattering amplitude vanishes. We show how the scalar invariant is related to the properties of the bistatic Huynen fork in both its conventional form and according to a new definition. Results are presented illustrating the invariant <inline-formula> <tex-math notation="LaTeX">k </tex-math></inline-formula> for a range of spheroidal Rayleigh scatterers. |
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Geometric Polarimetry-Part II: The Antenna Height Spinor and the Bistatic Scattering Matrix |
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