1. Polarization Symmetric Scatterer Metric Space
- Author
-
Cameron, William L. and Rais, Houra
- Subjects
Coherent states -- Analysis ,Scattering (Physics) -- Analysis ,Synthetic aperture radar -- Analysis ,Electromagnetic waves -- Polarization ,Electromagnetic waves -- Analysis ,Business ,Earth sciences ,Electronics and electrical industries - Abstract
The coherent polarization scattering matrix decomposition presented in Cameron et al. brought attention to the importance of Symmetric Scatterer Space, the space of scattering matrices corresponding to symmetric scatterers. Each symmetric scatterer scattering matrix can be associated with a complex number z, the scatterer-type parameter, where [absolute value of z] [less than or equal to] 1. A distance measure, d([z.sub.1], [z.sub.2]), was defined on Symmetric Scatterer Space providing a means of comparing scattering matrices. It will be demonstrated that Symmetric Scatterer Space is a metric space with metric d([z.sub.1], [z.sub.2]). A new mapping of the Unit Disc representation of Symmetric Scatterer Space to a sphere is also presented along with a metric on the sphere, [d.sub.s]([[theta].sub.1], [[phi].sub.1]; [[theta].sub.2], [[phi].sub.2]), that is equivalent to the metric d([z.sub.1], [z.sub.2]) on the Unit Disc. Index Terms--Coherent decomposition, conservative, polarimetry, polarization, radar polarimetry, radar scattering, radar target classification, symmetric scatterer, synthetic aperture radar (SAR).
- Published
- 2009