Application of the operator current to polarization radar and three-dimensional rotations

John E. Gray; Stephen R. Addison

doi:10.1117/12.2304895

4 May 2018 Application of the operator current to polarization radar and three-dimensional rotations

John E. Gray, Stephen R. Addison

Proceedings Volume 10633, Radar Sensor Technology XXII; 106330H (2018) https://doi.org/10.1117/12.2304895
Event: SPIE Defense + Security, 2018, Orlando, FL, United States

Abstract

In this paper, the concept of a post-selection operator current is introduced that is applicable to remote sensing physics as well as quantum mechanics. The post-selection operator (or cross-correlation for classical applications) current density (PSOCD) is defined in this paper, which also allows an operator current density to be. Both polarization operators and three dimensional operators have explicit Lie algebras, which impose lead to an algebra for the current which we discuss. When there is an evolution equation for signal such as the ambiguity function, the time evolution of a post-selected operator can be characterized. The underlying geometry that is implicit with this evolution is also applicable to other evolutionary/transport equations such as the Fokker-Planck equation, Brownian motion, and other equations that are used to model noise.

Conference Presentation

Citation Download Citation

John E. Gray and Stephen R. Addison "Application of the operator current to polarization radar and three-dimensional rotations", Proc. SPIE 10633, Radar Sensor Technology XXII, 106330H (4 May 2018); https://doi.org/10.1117/12.2304895

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