Исходные данные
i dI |
(1) |
m0 d1.257000000 #10K6 |
(2) |
e0 d8.854000000 #10K12 |
(3) |
e1 d3.5 |
(4) |
e2 d1.9 |
(5) |
h d7.000000000 #10K7 |
(6) |
f d280000000000000 |
(7) |
P2 d0.00003000000000 |
(8) |
ea1 d3.098900000 #10K11 |
(9) |
E1zm dA cos gp x eKI b z |
(10) |
H1zm d0 |
(11) |
E2zm dB eKap x eKI b z |
(12) |
H2zm d0 |
(13) |
Составляюшие поля в первой среде
E1xm d I b A sin
gp x
eKI b z gp
E1ym d0
H1xm d0
H1ym d I A sin
gp x
eKI b z 
b2 Cgp 2
w ma1 gp
I b A sin
gp x
eKI b z
gp
0
A cos
gp x
eKI b z 0
I A sin
gp x
eKI b z 
b2 Cgp 2
w ma1 gp
0
Состовляющие поля во второй среде
(14)
(15)
(16)
(17)
(18)
E2xm d KI b B eKap x eKI b z
ap
E2ym d0
H2xm d0
H2ym d KI B eKI b zKap x 
b2 Kap2
w ma2 ap
KI b B eKap x eKI b z
ap
0
B eKap x eKI b z
0
KI B eKI b z Kap x 
b2 Kap2
w ma2 ap
0
Граничные условия
К сожалению, считаются ручками :(
k1 d1.097460997 #107
k2 d8.085965298 #106 R d5.194133451
eqsys d y = K 0.5428571433 x , x2 Cy2 = 26.97902231 tan x
y1 dx 
R2 Kx2
y2 dx K |
k22$x$cot x |
k12 |
dp d0 ..5.194133451
(19)
(20)
(21)
(22)
(23)
(24)
(25)
(26)
(27)
(28)
(29)
(30)
6 |
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5.5 |
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5 |
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4.5 |
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4 |
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3.5 |
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3 |
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2.5 |
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2 |
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1.5 |
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1 |
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0.5 |
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0 |
0.25 |
0.75 |
1 |
1.25 |
1.75 |
2 |
2.25 |
2.75 |
3 |
3.25 |
3.75 |
4 |
4.25 |
4.75 |
5 |
K0.5 |
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K1 |
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K1.5 |
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K2 |
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K2.5 |
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K3 |
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K3.5 |
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K4 |
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K4.5 |
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K5 |
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gp d4.007142857 #106 |
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(31) |
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ap d6.221428571 #106 |
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(32) |
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Условия одномодальности |
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hmax d6.347545807 #10K7 |
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(33) |
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hmin d2.115848602 #10K7 |
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(34) |
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Расчёт параметров волны в световоде |
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w d1.758400000 #1015 |
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(35) |
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b d1.021689142 #107 |
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(36) |
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vph d1.721071437 #108 |
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(37) |
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Формулы для А и В придётся считать ручками :( |
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it dx |
N |
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(38) |
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eK2$ap$x dx |
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x |
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B d16987.05512 |
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(39) |
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A dK231.1246754 |
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(40) |
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Графики составляющих полей |
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b$A$sin gp$x |
x ! h |
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Exm dx |
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gp |
(41) |
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b$B$eKap$x |
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h ! x |
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ap |
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Ezm dx |
A$cos gp$x |
x ! h |
(42) |
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B$eKap$x |
h ! x |
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b2 Cgp 2
$A$sin
gp$x
Hym dx
gp$m0$w
Kb2 Cap2
$B$eKap$
x
ap$m0$w
x
! h
(43)
h !
x
График иксовой составляющей электрического поля
1. #10 - 6
5. #10 - 7
0 |
200 |
300 |
400 |
500 |
100 |
K5. #10 - 7
K1. #10 - 6
График зетовой составляющей электрического поля
1. #10 - 6
5. #10 - 7
0
50 |
100 |
150 |
200 |
K5. #10 - 7
K1. #10 - 6
График игрековой составляющей магнитного поля
1. #10 - 6
5. #10 - 7
0 |
2 |
3 |
1 |
K5. #10 - 7
K1. #10 - 6
Отношение мощностей
P1 d0.0007202822532 |
(44) |
PD1 d96.00150478 |
(45) |
PD2 d3.998495216 |
(46) |
100.0000000 |
(47) |