Graphics Programs Reference
In-Depth Information
W
'
pq
(
,
)
=
(12.118)
N
a
∑
1
N
a
∑
1
j
2π
N
a
w
'
mn
(
,
)
exp
------
(
pm
+
qn
)
;
pq
,
=
0 …
N
a
,
1
m
=
0
n
=
0
Comparison of Eqs. (12.117) and Eq. (12.118) indicates that
E
()
is equal to
W
'
pq
(
,
)
if
2π
N
a
2π
λ
-----
p
=
------
d
βα
sin
cos
(12.119)
2π
N
a
2π
λ
q
-----
------
d
βα
=
sin
sin
(12.120)
It follows that
q
--
1
α
=
tan
(12.121)
12.9.8. Non-Zero Taylor Series Coefficients for the k
th
Range Cell
β
∗
β
∗
r
=
2
+
h
2
(
1
+
tan
β
k
)
+
2
hD
n
sin
2
hD
n
cos
tan
β
k
=
ρ
k
t
()
(12.122)
r
1
hD
n
--
--
-
β
∗
r
ô
=
(
+
sin
)
(12.123)
h
β
∗
r
u
=
--
-----------------
(
h
tan
β
k
D
n
cos
)
(12.124)
cos
2
r
β
k
1
--
1
r
3
hD
n
β
∗
---
r
ô
ô
=
(
+
sin
)
(12.125)
--
-
h
1
r
3
β
∗
β
∗
r
ô
u
=
----------------
(
hD
n
+
tan
)
h
(
tan
β
k
D
n
cos
)
(12.126)
cos
2
β
k
----
-
--
1
4
r
3
1
--
h
β
∗
r
ss
=
+
(
tan
β
k
D
n
cos
)
(12.127)
r
1
hv
--
--
-
r
st
=
tan
β
k
(12.128)
v
2
r
r
tt
=
-----
(12.129)
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