Scattering and cascading matrices of the lossless reciprocal polarimetric two-port in microwave versus millimeter-wave and optical polarimetry

Zbigniew H. Czyz; Wolfgang-Martin Boerner

doi:10.1117/12.300632

23 December 1997 Scattering and cascading matrices of the lossless reciprocal polarimetric two-port in microwave versus millimeter-wave and optical polarimetry

Zbigniew H. Czyz, Wolfgang-Martin Boerner

Author Affiliations +

Proceedings Volume 3120, Wideband Interferometric Sensing and Imaging Polarimetry; (1997) https://doi.org/10.1117/12.300632
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

Network theoiy of microive four-ports has been extended to the domain of completely polarized fields of electromagnetic plane waves to obtain the theory of two-ports applicable for millimeter waves and optical polarimetry. For that purpose, incoming and outgoing waves in two ports on each side of the four-port have been combined to create the directional Jones vectors3. Their transformation by two reflectance and two transmittance Sinclair matrices is considered. Then, directIons of the propagation z-axes at one and both ports have been reversed by rotation of the spatial coordinate system, enabling one formation of two transmittance Jones matrices, what allowed for introduction of cascading matrices of the whole polarimetric two-port. Considerations are limited to the losses and reciprocal systems. Mutual dependencies between elements of Sinclair matrices are presented. A geometrical model of the scattering matrix of the whole two-port has been build up. It is of the form of four polarization spheres of tangential .2 Each sphere represents one of four Sinclair matrices. Its diameter, the inversion point, and the rotation after inversion axis and angle are given, shape and orientation of the polarization fork determined, and some special incident polarizations specified. Keywords: polarimetric two-ports, scattering matrices. geometric models, cascading matrices

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Zbigniew H. Czyz and Wolfgang-Martin Boerner "Scattering and cascading matrices of the lossless reciprocal polarimetric two-port in microwave versus millimeter-wave and optical polarimetry", Proc. SPIE 3120, Wideband Interferometric Sensing and Imaging Polarimetry, (23 December 1997); https://doi.org/10.1117/12.300632

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