Graphics Programs Reference
In-Depth Information
It follows that once a scattering matrix is specified, the target backscattered
RCS can be computed for any combination of transmitting and receiving polar-
izations. The reader is advised to see Ruck for ways to calculate the scattering
matrix
[]
.
Rewriting Eq. (11.20) in terms of the different possible orthogonal polariza-
tions yields
E s
E s
E i
E i
s HH
s HV
=
(11.21)
s VH
s VV
E s
E s
E i
E i
s RR
s RL
=
(11.22)
s LR
s LL
By using the transformation matrix in Eq. (11.17), the circular scattering
elements can be computed from the linear scattering elements
[]
s RR s RL
s LR
[] s HH s HV
s VH
10
0 1
[] 1
–
=
(11.23)
s LL
s VV
–
and the individual components are
–
s VV
+
s HH
–
js HV
(
+
s VH
)
s RR
=
----------------------------------------------------------------
2
s VV
++
2
s HH
js HV
(
–
s VH
)
s RL
=
-----------------------------------------------------------
(11.24)
s VV
+
s HH
–
js HV
(
–
s VH
)
s LR
=
-----------------------------------------------------------
2
– VV
++
2
s HH
js HV
(
+
s VH
)
s LL
=
---------------------------------------------------------------
Similarly, the linear scattering elements are given by
s HH
s HV
s RR
s RL
10
01
[] 1
–
=
[]
(11.25)
s VH
s VV
s LR
s L L
–
and the individual components are
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