3-D Rotation Representation of Multiple Reflections and Parametric Model for Bistatic Scattering From Arbitrary Multiplate Structure

Based on geometrical optics (GO), this paper develops a representation theory of multiple specular reflections from perfect electric conducting target with an arbitrary patchwise smooth surface. In the course of rays' multiple reflections, the polarization of each ray is found to change in a ma...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2019-07, Vol.67 (7), p.4777-4791
Main Authors: Yan, Hua, Yin, Hong-Cheng, Li, Sheng, Li, Liang-Sheng
Format: Article
Language:English
Subjects:
3-D rotation transformation
Algorithms
Antennas
bistatic/multistatic radar
Feature extraction
Geometrical optics
geometrical optics (GO)
Mathematical models
multiple reflections
Multistatic radar
Parameters
parametric model
Parametric statistics
Physical optics
Polarization
Quaternions
Radar
Radar measurement
Representations
Rotation
Rotation measurement
Scattering
Surface waves
Transformations
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Summary:Based on geometrical optics (GO), this paper develops a representation theory of multiple specular reflections from perfect electric conducting target with an arbitrary patchwise smooth surface. In the course of rays' multiple reflections, the polarization of each ray is found to change in a manner consistent with the variations of its propagating direction, which can be described with an equivalent 3-D rotation transformation. This transformation provides a new representation of the polarization rotation effect induced by multiple reflections. More importantly, the parameters of this transformation characterize the target's GO field response, and their values can classify six classes of geometrical structures. Furthermore, we derive explicit formulas relating these parameters to target's geometrical attributes for double and triple reflections, by using a quaternion algebra method. In order to validate this representation theory, we construct a parametric model of bistatic scattering from an arbitrary multiplate structure, by combining the GO-physical optics (PO) method with this representation. Through two special cases, the representation theory is validated by comparing the RCSs calculated by the parametric model with those by a shooting and bouncing ray (SBR) algorithm. The representation and derived concise parametric model are useful for extracting geometrically relevant features from bistatic radar measurement.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2019.2911268