paper 150128120133

Published: 2015-07-09

On the Connection between Jones Matrix and Sinclair Matrix

Thomas Dallmann,

Thomas Dallmann

RWTH Aachen University, Germany

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Dirk Heberling

RWTH Aachen University, Germany

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Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)258-262

Abstract

The Sinclair matrix and the Jones matrix describe the scattering behavior of radar targets using different coordinate systems. To analyze the physical scattering mechanisms occur- ing at a target, the Sinclair matrix can be decomposed with a coneigenvalue decomposition. This decomposition is mathematically challenging and still not fully understood. In contrast the Jones matrix can be decomposed with an eigenvalue decomposition, which can be easily implemented. In the literature a simple connection between Jones and Sinclair matrices was derived which gives rise to the question if the coneigenvalue decomposition of the Sinclair matrix can be replaced by an eigenvalue decomposition of a suitable Jones matrix by exploiting this connection. Within this paper it will be proven that, depending on the type of connection, this is either not possible or requires high mathematical effort. Therefore the coneigenvalue decomposition remains the method of choice for the aforementioned analysis of scattering mechanisms.

Citation

Thomas Dallmann, and Dirk Heberling, "On the Connection between Jones Matrix and Sinclair Matrix," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)258-262

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