Волноводы

7

Задача 1 Прямоугольный волновод

Определить геометрию прямоугольного волновода, предназначенного для
передачи электромагнитного поля простейшего типа в заданном диапазоне
волн. Рассчитать и построить графики частотной зависимости электрических
характеристик волновода (фазовой и групповой скоростей, длины волны в
волноводе, затухания, волнового сопротивления, предельной мощности).

?min=5,2 см; лmax=8,4 см; материал волновода: посереб. алюминий;
материал наполнителя: воздух.

Решение
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picscalex1000100090000032501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02c00180091200000026060f001a00ffffffff000010000000c0ffffff
c6ffffff40090000860100000b00000026060f000c004d61746854797065000030001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00d89ff377e19ff3772020f577950c669d040000002d01000008000000320a6001d207
02000000323508000000320a60017207010000002e3508000000320a6001b20601000000
353508000000320a60015a0102000000373308000000320a6001fa00010000002e330800
0000320a60013a000100000034331c000000fb0280fe0000000000009001000000020002
001053796d626f6c00001c130a9ca0f11200d89ff377e19ff3772020f577950c669d0400
00002d01010004000000f001000008000000320a6001860501000000a33308000000320a
6001280301000000a3331c000000fb0280fe000000000000900101000000040200105469
6d6573204e657720526f6d616e00d89ff377e19ff3772020f577950c669d040000002d01
000004000000f001010008000000320a600160040100000061330a00000026060f000a00
ffffffff0100000000001c000000fb021000070000000000bc02000000cc010202225379
7374656d009d950c669d00000a0021008a010000000001000000bcf31200040000002d01
010004000000f0010000030000000000 см, b=a/2. Пусть а = 5 см, b=2,5 см.
Для волны Н10 лkr=2а.

f = c/л; fmin = 3,6 ГГц; fmax = 5,8 ГГц; c = 3*108 м/с
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Зависимость длины волны от частоты
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d01000005000000090200000000040000002d01020005000000090200000000080000002
1050400342e30344501830005000000090200000000040000002d010a000700000021050
1002e0042019a0005000000090200000000040000002d010200070000002105020031304
5019d0005000000090200000000040000002d010600070000002105010039003e01a9000
5000000090200000000040000002d0102000500000009020000000005000000090200000
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105020031304501c50005000000090200000000040000002d01060007000000210501003
9003e01d10005000000090200000000040000002d0102000500000009020000000005000
000090200000000040000002d01000005000000090200000000040000002d01020005000
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0002d010a0007000000210501002e004201ea0005000000090200000000040000002d010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0000000040000002d0102000500000009020000000005000000090200000000040000002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Зависимость фазовой скорости от частоты

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Зависимость групповой скорости от частоты

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Зависимость предельной мощности от частоты

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Зависимость волнового сопротивления от частоты

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000005000000090200000000040000002d01060007000000210501006c0933007e000500
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1c000000fb02f0ff0000000000009001000000020700000053796d626f6c0000530f0a1c
a8e8e200d89ff377e19ff3772020f577f90f66a5040000002d010f00050000002e011800
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0700000021050100e80935004300050000002e0118000000040000002d01080004000000
f0010f00040000002d010300040000002d0108001c000000fb02f0ff0000000000009001
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030000001e000700000016042700a700110039000700000021050100f7091a009d000700
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2d010800050000002e01180000000700000021050100d7095a003f00050000002e011800
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0700070000002105010031095a00570005000000090200000000040000002d0100000500
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090200000000040000002d01010005000000090200000000040000002d01020007000000
2105010032094900810005000000090200000000040000002d0101000500000009020000
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180000000700000021050100d7096e007b00050000002e01180000000500000009020000
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0100000000000002040000002d010f0005000000140256006d0005000000130256009500
040000002d010b0004000000f0010f0005000000090200000000040000002d0100000500
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5a006100050000002e011800000005000000090200000000040000002d01000005000000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0000f0010b00040000002d010a0004000000f0010e000500000009020000000005000000
0102ffffff02050000000201020000000400000003010800050000000c02640064000e00
0000ff0600000600f6020000180000000000000000000000000007000000fc020000ffff
ff0200000500000028020b000e0004000000f0010b00050000000c027100f50104000000
f0010e00030000000000

где лkr – критическая длина волны (м), – толщина скин-слоя (м), fkr –
критическая частота.

Зависимость затухания от частоты

picscalex870100090000035519000010001c00000000000400000003010800050000000
c0241011902050000000902000000001c000000fb02f3ff0000000000009001000000000
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67a040000002d010100050000000902000000001c000000fb02f4ff00000000000090010
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50f667a040000002d0102000500000009020000000005000000090200000000050000000
90200000000040000002d01010005000000090200000000040000002d010200050000000
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b00050000001302f000cc00050000001302f000cd00050000001302f000ce00050000001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Задача 2 Круглый волновод

Определить геометрию круглого волновода, предназначенного для передачи
электромагнитного поля заданного типа в заданном диапазоне волн.
Рассчитать и построить графики частотной зависимости электрических
характеристик волновода (фазовой и групповой скоростей, длины волны в
волноводе, затухания, волнового сопротивления, предельной мощности).

лmin=4 см; лmax=5,5 см; материал волновода: латунь; материал
наполнителя: воздух; волна Н11

Решение
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picscalex1000100090000032501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02c001e0081200000026060f001a00ffffffff000010000000c0ffffff
c6ffffffa0080000860100000b00000026060f000c004d61746854797065000030001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00d89ff377e19ff3772020f577ad1066b5040000002d01000008000000320a6001d207
01000000377908000000320a60017207010000002e7908000000320a6001b20601000000
317908000000320a6001300102000000343708000000320a6001d000010000002e370800
0000320a600110000100000031371c000000fb0280fe0000000000009001000000020002
001053796d626f6c0000a2130a8ba0f11200d89ff377e19ff3772020f577ad1066b50400
00002d01010004000000f001000008000000320a6001a40501000000a33708000000320a
6001100301000000a3371c000000fb0280fe000000000000900101000000040200105469
6d6573204e657720526f6d616e00d89ff377e19ff3772020f577ad1066b5040000002d01
000004000000f001010008000000320a600154040100000052370a00000026060f000a00
ffffffff0100000000001c000000fb021000070000000000bc02000000cc010202225379
7374656d00b5ad1066b500000a0021008a010000000001000000bcf31200040000002d01
010004000000f0010000030000000000 см. Пусть R = 1,5 см. Для волны Н11
лkr=3,41R.

f = c/л; fmin = 5,5 ГГц; fmax = 7,5 ГГц; c = 3*108 м/с
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Зависимость длины волны от частоты
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Зависимость групповой скорости от частоты

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Зависимость волнового сопротивления от частоты

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ff02050000000201020000000400000003010800050000000c026400640014000000ff06
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0000fc020000ffffff0200000500000028020c000e0004000000f0010c00050000000c02
6a00420104000000f0010e00030000000000, где – толщина скин-слоя (м).

Зависимость затухания от частоты

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Задача 3. Коаксиальная линия

Определить геометрию коаксиальной линии, предназначенной для передачи
электромагнитного поля простейшего типа с минимальным затуханием.
Построить графически структуру поля, токов проводимости и смещения для
волн типа ТЕМ, Е01 и Н01. Определить предельную мощность, затухание,
волновое сопротивление, длину волны, погонные емкость и индуктивность
коаксиальной линии для волны типа ТЕМ.

л=18 см; материал линии: медь; материал наполнителя: фторопласт-4.

Решение

Пусть d = 2 мм, тогда т. к. по условию затухание минимальное, то D/d =
3.6, D = 7.2 мм.

= 2 – диэлектрическая проницаемость наполнителя.

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e011800000007000000210501002b00d500a100050000002e01180000000500000009020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picscalex1000100090000035b01000004001c0000000000050000000902000000000500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, отсюда
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Задача 4. Симметричная полосковая линия

Определить геометрию симметричной полосковой линии, предназначенной для
передачи электромагнитного поля простейшего типа. Построить графически
структуру поля, токов проводимости и смещения для волн типа ТЕМ, Е01 и
Н01. Определить погонные емкость и индуктивность, длину волны, затухание
и предельную мощность линии для волны простейшего типа.

л = 15 см; Zo = 50 Ом; материал линии: латунь; материал наполнителя:
ПТ-5.

Решение

Геометрию линии определим из следующих условий:
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;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мкм;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;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. Отсюда получаем:

а = 8 мм; b = 3,35 мм; t = 0,035 мм; W = 1,3 мм.

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40000002d01050005000000090200000000040000002d010000050000000902000000000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Задача 5. Несимметричная полосковая линия

Определить геометрию несимметричной полосковой линии, предназначенной
для передачи электромагнитного поля простейшего типа. Построить
графически структуру поля, токов проводимости и смещения для волн типа
ТЕМ, Е01 и Н01. Определить погонные емкость и индуктивность, длину
волны, затухание и предельную мощность линии для волны простейшего типа.

л = 15 см; Zo = 50 Ом; материал линии: латунь; материал наполнителя:
воздух.

Решение

Геометрию линии определим из следующих условий:
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;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 (0,25;
0,5; 1,0 мм);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,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 – глубина скин-слоя.
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