Graphics Programs Reference
In-Depth Information
W ' pq
(
,
)
=
(12.118)
N a
–
1
N a
–
1
j
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
N a
λ
-----  p
–
=
------ d βα
sin
cos
(12.119)
N a
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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