Transmission Lines and Waveguides 3. Frequency Domain Analysis of Lossless Lines

Frequency Domain - Frequency Domain - 11

Transmission LinesTransmission Linesand Waveguidesand Waveguides

3. Frequency Domain Analysis3. Frequency Domain Analysisof Lossless Linesof Lossless Lines

byby

Nannapaneni Narayana RaoNannapaneni Narayana Rao

Frequency Domain - Frequency Domain - 22

Nannapaneni Narayana Rao is Edward C. Nannapaneni Narayana Rao is Edward C. Jordan Professor Emeritus of Electrical and Jordan Professor Emeritus of Electrical and

Computer Engineering, University of Illinois at Computer Engineering, University of Illinois at Urbana-Champaign, U.S.A., and Distinguished Urbana-Champaign, U.S.A., and Distinguished Amrita Professor of Engineering, Amrita Vishwa Amrita Professor of Engineering, Amrita Vishwa

Vidyapeetham, IndiaVidyapeetham, India

This presentation prepared in This presentation prepared in December 2008 with slide materials December 2008 with slide materials

from 1983from 1983

Frequency Domain - Frequency Domain - 33

3.1. General solution; 3.1. General solution; Semi-infinite lineSemi-infinite line

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3.1-13.1-1

Frequency Domain - Frequency Domain - 55

3.1-23.1-2

Frequency Domain - Frequency Domain - 66

3.1-33.1-3

Frequency Domain - Frequency Domain - 77

3.1-43.1-4

Frequency Domain - Frequency Domain - 88

3.1-53.1-5

Frequency Domain - Frequency Domain - 99

3.1-63.1-6

Frequency Domain - Frequency Domain - 1010

3.1-73.1-7

Frequency Domain - Frequency Domain - 1111

3.1-83.1-8

Frequency Domain - Frequency Domain - 1212

3.1-93.1-9

Frequency Domain - Frequency Domain - 1313

3.1-103.1-10

Frequency Domain - Frequency Domain - 1414

3.1-113.1-11

Frequency Domain - Frequency Domain - 1515

3.1-123.1-12

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3.1-133.1-13

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3.1-143.1-14

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3.1-153.1-15

Frequency Domain - Frequency Domain - 1919

3.1-163.1-16

Frequency Domain - Frequency Domain - 2020

3.1-173.1-17

Frequency Domain - Frequency Domain - 2121

3.2. Short-circuited line3.2. Short-circuited line

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3.2-13.2-1

Frequency Domain - Frequency Domain - 2323

3.2-23.2-2

Frequency Domain - Frequency Domain - 2424

3.2-33.2-3

Frequency Domain - Frequency Domain - 2525

3.2-43.2-4

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3.2-53.2-5

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3.2-63.2-6

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3.2-73.2-7

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3.2-83.2-8

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3.2-93.2-9

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3.2-103.2-10

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3.2-113.2-11

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3.2-123.2-12

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3.3. Natural oscillations; 3.3. Natural oscillations; ResonanceResonance

Frequency Domain - Frequency Domain - 3535

3.3-13.3-1

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3.3-23.3-2

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3.3-33.3-3

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3.3-43.3-4

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3.3-53.3-5

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3.3-63.3-6

Frequency Domain - Frequency Domain - 4141

3.3-73.3-7

Frequency Domain - Frequency Domain - 4242

3.3-83.3-8

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3.3-93.3-9

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3.3-103.3-10

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3.3-123.3-12

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3.3-133.3-13

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3.3-143.3-14

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3.3-153.3-15

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3.4. Line terminated by 3.4. Line terminated by complex loadcomplex load

Frequency Domain - Frequency Domain - 5151

3.4-13.4-1

Frequency Domain - Frequency Domain - 5252

3.4-23.4-2

Frequency Domain - Frequency Domain - 5353

3.4-33.4-3

Frequency Domain - Frequency Domain - 5454

3.4-43.4-4

Frequency Domain - Frequency Domain - 5555

3.4-53.4-5

Frequency Domain - Frequency Domain - 5656

3.4-63.4-6

Frequency Domain - Frequency Domain - 5757

3.4-73.4-7

Frequency Domain - Frequency Domain - 5858

3.4-83.4-8

Frequency Domain - Frequency Domain - 5959

3.4-93.4-9

Frequency Domain - Frequency Domain - 6060

3.4-103.4-10

Frequency Domain - Frequency Domain - 6161

3.4-113.4-11

Frequency Domain - Frequency Domain - 6262

3.4-123.4-12

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3.4-133.4-13

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3.4-153.4-15

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3.4-163.4-16

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3.5. Line impedance;3.5. Line impedance;Power flowPower flow

Frequency Domain - Frequency Domain - 6868

3.5-13.5-1

Frequency Domain - Frequency Domain - 6969

3.5-23.5-2

Frequency Domain - Frequency Domain - 7070

3.5-33.5-3

Frequency Domain - Frequency Domain - 7171

3.5-43.5-4

Frequency Domain - Frequency Domain - 7272

3.5-53.5-5

Frequency Domain - Frequency Domain - 7373

3.5-63.5-6

Frequency Domain - Frequency Domain - 7474

3.5-73.5-7

Frequency Domain - Frequency Domain - 7575

3.5-83.5-8

Frequency Domain - Frequency Domain - 7676

3.5-93.5-9

Frequency Domain - Frequency Domain - 7777

3.5-103.5-10

Frequency Domain - Frequency Domain - 7878

3.5-113.5-11

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3.5-123.5-12

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3.5-153.5-15

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Frequency Domain - Frequency Domain - 8484

3.6. Lines in cascade; 3.6. Lines in cascade; Quarter-wave transformer Quarter-wave transformer

matchingmatching

Frequency Domain - Frequency Domain - 8585

3.6-13.6-1

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3.6-23.6-2

Frequency Domain - Frequency Domain - 8787

3.6-33.6-3

Frequency Domain - Frequency Domain - 8888

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Frequency Domain - Frequency Domain - 9191

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Frequency Domain - Frequency Domain - 9797

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Frequency Domain - Frequency Domain - 9999

3.6-153.6-15

Frequency Domain - Frequency Domain - 100100

3.7. Stub matching; 3.7. Stub matching; Frequency responseFrequency response

Frequency Domain - Frequency Domain - 101101

3.7-13.7-1

Frequency Domain - Frequency Domain - 102102

3.7-23.7-2

Frequency Domain - Frequency Domain - 103103

3.7-33.7-3

Frequency Domain - Frequency Domain - 104104

3.7-43.7-4

Frequency Domain - Frequency Domain - 105105

3.7-53.7-5

Frequency Domain - Frequency Domain - 106106

3.7-63.7-6

Frequency Domain - Frequency Domain - 107107

3.7-73.7-7

Frequency Domain - Frequency Domain - 108108

3.7-83.7-8

Frequency Domain - Frequency Domain - 109109

3.7-93.7-9

Frequency Domain - Frequency Domain - 110110

3.7-103.7-10

Frequency Domain - Frequency Domain - 111111

3.7-113.7-11

Frequency Domain - Frequency Domain - 112112

3.7-123.7-12

Frequency Domain - Frequency Domain - 113113

3.8. Multi-section quarter-3.8. Multi-section quarter-wave transformerwave transformer

Frequency Domain - Frequency Domain - 114114

3.8-13.8-1

Frequency Domain - Frequency Domain - 115115

3.8-23.8-2

Frequency Domain - Frequency Domain - 116116

3.8-33.8-3

Frequency Domain - Frequency Domain - 117117

3.8-43.8-4

Frequency Domain - Frequency Domain - 118118

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Frequency Domain - Frequency Domain - 119119

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Frequency Domain - Frequency Domain - 120120

3.8-73.8-7

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3.8-83.8-8

Frequency Domain - Frequency Domain - 122122

3.8-93.8-9

Frequency Domain - Frequency Domain - 123123

3.8-103.8-10

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Frequency Domain - Frequency Domain - 125125

3.8-123.8-12

Frequency Domain - Frequency Domain - 126126

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Frequency Domain - Frequency Domain - 128128

The EndThe End