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Synthetic Aperture Radar Polarimetry by Yunjin Kim, Jakob J. van Zyl

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APPENDIX B

BISTATIC SCATTERING MATRIX OF A CYLINDER WITH ARBITRARY ORIENTATION

In this appendix we summarize the equations describing the bistatic scattering from a finite-length dielectric cylinder with arbitrary orientation. To describe the scattering, we shall use a global coordinate system (see Figure B.1) in which the cylinder orientation is described using a unit vector aligned with the long axis of the cylinder, as follows:

(B.1) Numbered Display Equation

We shall assume that an electromagnetic wave is incident upon this cylinder in such a way that the propagation vector of the incident wave can be written as

(B.2) Numbered Display Equation

We are interested in the scattered field that is represented by the propagation vector

(B.3) Numbered Display Equation

Using the backscatter alignment coordinate system, we define two triplets of local coordinates to describe the transverse components of the incident and scattered fields. These coordinates are defined as

(B.4) Numbered Display Equation

(B.5) Numbered Display Equation

(B.6)

and

(B.7)

We shall assume that the incident wave is a plane electromagnetic ...

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