Coherency vector formalism for polarimetric transformations

The Two-state Vector Formalism

The two-state vector formalism (TSVF) [1] is a time-symmetric description of the standard quantum mechanics originated in Aharonov, Bergmann and Lebowitz [2]. The TSVF describes a quantum system at a particular time by two quantum states: the usual one, evolving forward in time, defined by the results of a complete measurement at the earlier time, and by the quantum state evolving backward in t...

A Formalism for Automated Verification of Model Transformations

Verification of models and model processing programs are fundamental issues and are inevitable in model-based software development in order to apply them in realworld solutions. Verification concerns the analysis of non-functional and functional properties as well. Model transformation developers are interested in offline methods for the verification process. Offline analysis means that only th...

Stokes Vector Based Polarimetric SAR Land Classification

Formulating a Vector Wave Expression for Polarimetric Gnss Surface Scattering

This paper formulates a simple vector integral expression for electromagnetic waves received after scattering from a surface. The derived expression is an alternative to the Stratton-Chu equation frequently used for polarimetric surface scattering. It is intended for use in polarimetric Global Navigation Satellite System (GNSS) ocean remote sensing, or any type of polarimetric remote sensing fr...

Vector Spaces and Linear Transformations

1 Vector spaces A vector space is a nonempty set V , whose objects are called vectors, equipped with two operations, called addition and scalar multiplication: For any two vectors u, v in V and a scalar c, there are unique vectors u + v and cu in V such that the following properties are satisfied. 1. u + v = v + u, 2. (u + v) + w = u + (v + w), 3. There is a vector 0, called the zero vector, su...