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29
4 3 2 101234
0.2
0.4
0.6
0.8
1
u1
i
u2
i
u3
i
u0
i
ρ
i
u2
i
u2
i
u2max
:=
u2maxmaxu2():=
u2
i
U ρ
i
ρ02,
()
:=
u0
i
0.5:=
u3
i
u3
i
u3max
:=u1
i
u1
i
u1max
:=
u3maxmaxu3():=u1maxmaxu1():=
u3
i
U ρ
i
ρ03,
()
:=u1
i
U ρ
i
ρ01,
()
:=
ρ0325 λ⋅:=ρ 0210 λ⋅:=ρ 015λ⋅:=
U ρρ0,
()
0
2π
φ1
0
ρ0
ρ1ρ1expi−
kρ⋅ρ0⋅ cos φ1
()
⋅
f
⋅
⋅
⌠
⌡
d
⌠
⌡
d
2
:=
ρ
i
iimax−()
imax
10⋅:=
i02imax⋅..:=j14..:=
imax50
:=
f100
λ
⋅
:=
k2
π
λ
⋅
:=
λ
0.4
:=
TOL0.01
:=
рис. 4.12
29 π TOL := 0.01 λ := 0.4 k := 2 ⋅ f := 100 ⋅λ imax := 50 λ j := 1 .. 4 i := 0 .. 2 ⋅imax ( i − imax) ρ i := ⋅ 10 imax 2 ⌠2π ρ0 ρ1 ⋅ exp −i⋅ k ⋅ρ ⋅ ρ0 ⋅cos ( φ1) dρ1 dφ1 ⌠ U ( ρ , ρ0) := f ⌡0 ⌡0 ρ01 := 5 ⋅ λ ρ02 := 10 ⋅ λ ρ03 := 25 ⋅ λ ( u1i := U ρ i , ρ01 ) ( u3i := U ρ i , ρ03 ) u1max := max( u1) u3max := max( u3) u1i u3i u1i := u3i := u1max u3max ( u2i := U ρ i , ρ02 ) u0i := 0.5 u2max := max( u2) u2i u2i := u2max 1 0.8 u1i 0.6 u2i u3i 0.4 u0i 0.2 4 3 2 1 0 1 2 3 4 ρi ри с. 4.12
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