Lossy Lines and Guides - Lossy Lines and Guides - 11

Transmission LinesTransmission Linesand Waveguidesand Waveguides

6. Lossy Lines and Guides6. Lossy Lines and Guides

byby

Nannapaneni Narayana RaoNannapaneni Narayana Rao

Lossy Lines and Guides - Lossy Lines and Guides - 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

Lossy Lines and Guides - Lossy Lines and Guides - 33

6.1. Lossy line: Propagation 6.1. Lossy line: Propagation constant and characteristic constant and characteristic

impedanceimpedance

Lossy Lines and Guides - Lossy Lines and Guides - 44

6.1-16.1-1

Lossy Lines and Guides - Lossy Lines and Guides - 55

6.1-26.1-2

Lossy Lines and Guides - Lossy Lines and Guides - 66

6.1-36.1-3

Lossy Lines and Guides - Lossy Lines and Guides - 77

6.1-46.1-4

Lossy Lines and Guides - Lossy Lines and Guides - 88

6.1-56.1-5

Lossy Lines and Guides - Lossy Lines and Guides - 99

6.1-66.1-6

Lossy Lines and Guides - Lossy Lines and Guides - 1010

6.1-76.1-7

Lossy Lines and Guides - Lossy Lines and Guides - 1111

6.1-86.1-8

Lossy Lines and Guides - Lossy Lines and Guides - 1212

6.1-96.1-9

Lossy Lines and Guides - Lossy Lines and Guides - 1313

6.1-106.1-10

Lossy Lines and Guides - Lossy Lines and Guides - 1414

6.1-116.1-11

Lossy Lines and Guides - Lossy Lines and Guides - 1515

6.1-126.1-12

Lossy Lines and Guides - Lossy Lines and Guides - 1616

6.1-136.1-13

Lossy Lines and Guides - Lossy Lines and Guides - 1717

6.1-146.1-14

Lossy Lines and Guides - Lossy Lines and Guides - 1818

6.1-156.1-15

Lossy Lines and Guides - Lossy Lines and Guides - 1919

6.1-166.1-16

Lossy Lines and Guides - Lossy Lines and Guides - 2020

6.2. Standing waves and 6.2. Standing waves and power flowpower flow

Lossy Lines and Guides - Lossy Lines and Guides - 2121

6.2-16.2-1

Lossy Lines and Guides - Lossy Lines and Guides - 2222

6.2-26.2-2

Lossy Lines and Guides - Lossy Lines and Guides - 2323

6.2-36.2-3

Lossy Lines and Guides - Lossy Lines and Guides - 2424

6.2-46.2-4

Lossy Lines and Guides - Lossy Lines and Guides - 2525

6.2-56.2-5

Lossy Lines and Guides - Lossy Lines and Guides - 2626

6.2-66.2-6

Lossy Lines and Guides - Lossy Lines and Guides - 2727

6.2-76.2-7

Lossy Lines and Guides - Lossy Lines and Guides - 2828

6.2-86.2-8

Lossy Lines and Guides - Lossy Lines and Guides - 2929

6.2-96.2-9

Lossy Lines and Guides - Lossy Lines and Guides - 3030

6.2-106.2-10

Lossy Lines and Guides - Lossy Lines and Guides - 3131

6.2-116.2-11

Lossy Lines and Guides - Lossy Lines and Guides - 3232

6.2-126.2-12

Lossy Lines and Guides - Lossy Lines and Guides - 3333

6.2-136.2-13

Lossy Lines and Guides - Lossy Lines and Guides - 3434

6.2-146.2-14

Lossy Lines and Guides - Lossy Lines and Guides - 3535

6.2-156.2-15

Lossy Lines and Guides - Lossy Lines and Guides - 3636

6.2-166.2-16

Lossy Lines and Guides - Lossy Lines and Guides - 3737

6.3. Use of the Smith 6.3. Use of the Smith chart for lossy lineschart for lossy lines

Lossy Lines and Guides - Lossy Lines and Guides - 3838

6.3-16.3-1

Lossy Lines and Guides - Lossy Lines and Guides - 3939

6.3-26.3-2

Lossy Lines and Guides - Lossy Lines and Guides - 4040

6.3-36.3-3

Lossy Lines and Guides - Lossy Lines and Guides - 4141

6.3-46.3-4

Lossy Lines and Guides - Lossy Lines and Guides - 4242

6.3-56.3-5

Lossy Lines and Guides - Lossy Lines and Guides - 4343

6.3-66.3-6

Lossy Lines and Guides - Lossy Lines and Guides - 4444

6.3-76.3-7

Lossy Lines and Guides - Lossy Lines and Guides - 4545

6.3-86.3-8

Lossy Lines and Guides - Lossy Lines and Guides - 4646

6.3-96.3-9

Lossy Lines and Guides - Lossy Lines and Guides - 4747

6.3-106.3-10

Lossy Lines and Guides - Lossy Lines and Guides - 4848

6.3-116.3-11

Lossy Lines and Guides - Lossy Lines and Guides - 4949

6.3-126.3-12

Lossy Lines and Guides - Lossy Lines and Guides - 5050

6.4. Distortionless line;6.4. Distortionless line;diffusiondiffusion

Lossy Lines and Guides - Lossy Lines and Guides - 5151

6.4-16.4-1

Lossy Lines and Guides - Lossy Lines and Guides - 5252

6.4-26.4-2

Lossy Lines and Guides - Lossy Lines and Guides - 5353

6.4-36.4-3

Lossy Lines and Guides - Lossy Lines and Guides - 5454

6.4-46.4-4

Lossy Lines and Guides - Lossy Lines and Guides - 5555

6.4-56.4-5

Lossy Lines and Guides - Lossy Lines and Guides - 5656

6.4-66.4-6

Lossy Lines and Guides - Lossy Lines and Guides - 5757

6.4-76.4-7

Lossy Lines and Guides - Lossy Lines and Guides - 5858

6.4-86.4-8

Lossy Lines and Guides - Lossy Lines and Guides - 5959

6.4-96.4-9

Lossy Lines and Guides - Lossy Lines and Guides - 6060

6.4-106.4-10

Lossy Lines and Guides - Lossy Lines and Guides - 6161

6.4-116.4-11

Lossy Lines and Guides - Lossy Lines and Guides - 6262

6.4-126.4-12

Lossy Lines and Guides - Lossy Lines and Guides - 6363

6.4-136.4-13

Lossy Lines and Guides - Lossy Lines and Guides - 6464

6.4-146.4-14

Lossy Lines and Guides - Lossy Lines and Guides - 6565

6.4-156.4-15

Lossy Lines and Guides - Lossy Lines and Guides - 6666

6.4-166.4-16

Lossy Lines and Guides - Lossy Lines and Guides - 6767

6.4-176.4-17

Lossy Lines and Guides - Lossy Lines and Guides - 6868

6.4-186.4-18

Lossy Lines and Guides - Lossy Lines and Guides - 6969

6.5. Internal impedance of a 6.5. Internal impedance of a plane conductor; Perturbation plane conductor; Perturbation

analysis of lossesanalysis of losses

Lossy Lines and Guides - Lossy Lines and Guides - 7070

6.5-16.5-1

Lossy Lines and Guides - Lossy Lines and Guides - 7171

6.5-26.5-2

Lossy Lines and Guides - Lossy Lines and Guides - 7272

6.5-36.5-3

Lossy Lines and Guides - Lossy Lines and Guides - 7373

6.5-46.5-4

Lossy Lines and Guides - Lossy Lines and Guides - 7474

6.5-56.5-5

Lossy Lines and Guides - Lossy Lines and Guides - 7575

6.5-66.5-6

Lossy Lines and Guides - Lossy Lines and Guides - 7676

6.5-76.5-7

Lossy Lines and Guides - Lossy Lines and Guides - 7777

6.5-86.5-8

Lossy Lines and Guides - Lossy Lines and Guides - 7878

6.5-96.5-9

Lossy Lines and Guides - Lossy Lines and Guides - 7979

6.5-106.5-10

Lossy Lines and Guides - Lossy Lines and Guides - 8080

6.5-116.5-11

Lossy Lines and Guides - Lossy Lines and Guides - 8181

6.5-126.5-12

Lossy Lines and Guides - Lossy Lines and Guides - 8282

6.5-136.5-13

Lossy Lines and Guides - Lossy Lines and Guides - 8383

6.5-146.5-14

Lossy Lines and Guides - Lossy Lines and Guides - 8484

6.6. Attenuation constant of 6.6. Attenuation constant of TETE1,01,0 mode in a rectangular mode in a rectangular

waveguidewaveguide

Lossy Lines and Guides - Lossy Lines and Guides - 8585

6.6-16.6-1

Lossy Lines and Guides - Lossy Lines and Guides - 8686

6.6-26.6-2

Lossy Lines and Guides - Lossy Lines and Guides - 8787

6.6-36.6-3

Lossy Lines and Guides - Lossy Lines and Guides - 8888

6.6-46.6-4

Lossy Lines and Guides - Lossy Lines and Guides - 8989

6.6-56.6-5

Lossy Lines and Guides - Lossy Lines and Guides - 9090

6.6-66.6-6

Lossy Lines and Guides - Lossy Lines and Guides - 9191

6.6-76.6-7

Lossy Lines and Guides - Lossy Lines and Guides - 9292

6.6-86.6-8

Lossy Lines and Guides - Lossy Lines and Guides - 9393

6.6-96.6-9

Lossy Lines and Guides - Lossy Lines and Guides - 9494

6.6-106.6-10

Lossy Lines and Guides - Lossy Lines and Guides - 9595

6.6-116.6-11

Lossy Lines and Guides - Lossy Lines and Guides - 9696

6.6-126.6-12

Lossy Lines and Guides - Lossy Lines and Guides - 9797

The EndThe End