Introduction 080915 Electromagnetic

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T.H.HuangT.H.Huang

Electromagnetics (I)

Welcome to this course Electromagnetics (I)

What we will learn in this course?

•Overview of Electromagnetics

•Review of Complex Number, Phasor,

and Vector Algebra/Analysis

•Static Electric Fields

•Static Magnetic Fields

•Dynamic Fields (time-varying)

•Plane Waves

•Introduction to Transmission Lines

ClassicElectromagnetics



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What is Electromagnetics?

Electromagnetics –

The study of the effects of electric charges

at rest (static fields)

and

in motion. (dynamic fields)



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Textbook : “Field and Wave Electromagnetics,” (2nd Edition)

David K. Cheng,1989 Addison-Wesley Publishing Company, Inc.

Textbook & Recommendations



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Ref #1 : “Electromagnetics with Applications,” (5th Edition)

Kraus / Fleisch,1999 McGRAW-Hill Companies




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Ref. #2 : “Engineering Electromagnetics,” (2nd Edition)

Nathan Ida,2004 Springer-Verlag New York, LLC




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Ref. #3 : “Engineering Electromagnetics” (7th edition)

William H. Hayt, Jr. and John A Buck,International Edition 2006.




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Ref. #4 : “Electromagnetics for High-Speed Analog and

Digital Communication Circuits,”Ali M. Niknejad,2007 CAMBRIDGE UNIVERSITY PRESS

(進階應用課本)



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Contents in the Textbook for the first semester :

Ch1. The Electromagnetic Model

Ch2. Vector Analysis

Ch3. Static Electric Fields

Ch4. Solution of Electrostatic Problem

Ch5. Steady Electric Currents

Ch6. Static Magnetic Fields

Ch7. Time-Varying Fields and Maxwell’s Equations

Ch8. Plane Electromagnetic Waves

Ch9. Theory and Applications of Transmission Lines

Textbook Contents



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Topics in Electromagnetics (I):

1. Introduction : Model / Units / Demands / Complex Numbers / Phasor

2. Vector Analysis : Products of Vectors / Divergence / Curl / Coordinates

3. Static Electric Fields : Charge / E-field / Gauss’s Law / Capacitance

4. Static Magnetic Fields : Current / M-Field / Ampere’s Law / Inductance

5. Time-Varying Fields : E-Filed M-Field / Maxwell’s Equations

6. Plane Electromagnetic Wave : EM propagation in Space and Media

7. Transmission Lines : EM propagation confined by Conductor

/ Smith Chart / Matching

Topics in This Course



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Topics in Electromagnetics (II):

1. Plane Electromagnetic Wave

2. Transmission Lines

3. Waveguides and Cavity Resonators : EM Boundary Problems

4. Antennas and Radiating Systems : Antenna

Topics in This Course



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An Overview - What we will learn?

3 coordinate systems : Cartesian, Cylindrical, and Spherical

Vector algebra : dot product (．),cross product (x), right-hand rule

gradient operation (▽),

divergence theorem (▽．),Stokes’s theorem (▽x),Helmholtz’s theorem.

0. Vector Algebra:



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B. Magnetostatics :

Biot-Savart’s Law : H (magnetic field intensity) I (current)

A. Electrostatics :

Gauss’s Law : D (electric flux density, =εE ) Q (charge)

Coulomb’s Law : E (e-field intensity, =F /q, ) Q (charge)

Ampere’s circuital Law : H (magnetic field intensity, =B / μ) I (current)




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C. Time-Varying (Dynamic) Fields :

Current Continuity Equation:t

vρJ

Faraday’s Law :t

BE

(postulate)Time-varying




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C. Dynamic Fields : (cont.)

Maxwell’s Equations : (the most important one!)

Drop out the time-varying terms, then you get the static fields relations!




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D. Plane Waves :

Time-Harmonic Wave Equations

Wave propagation in lossless/lossy media (dielectric, conductor)

Electromagnetic Power and Poynting Theorem

HEP

(W/m2, Poynting vector, flowing out)

Vσ

Vme

Sdvpdvww

tsdP

EM energy density Omic power densityPower

flowing into the surface




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E. Transmission Lines :

Time-Harmonic Transmission-Line Equations

Characteristic Impedance: Zo


< in電磁學觀點 ?>



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E. Transmission Lines : (cont.)

Microstrip Line(on the PCB applications)(on the Si-wafer appications)

Smith Chart (Z-/G-type)




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The Course Schedule

month Week # content Teaching Test Homework

09 01 Ch1/Ch2 1+1 hr

03 Ch2/3 1+2 hr quiz * HW#1

02 Ch2 1+2 hr

04 Ch3 1+2 hr

07 Ch4 1+2 hr quiz *

06 Ch3/4 1+2 hr HW#2

09 Ch5 1+2 hr

08 Ch4/5 1+2 hr HW#3

10 Ch5/6 1 hr mid. 2hr HW#4


13 Ch6/7 1+2 hr HW#5

12 Ch6 1+2 hr


14 Ch7 1+2 hr

17 Ch8 1+2 hr

16 Ch8 1+2 hr HW#6

18 Final 3hr

10

11

12

01

05 Ch3 1+2 hr mid. 2hr



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Scoring :

Homework (+ Quiz ) : HW’s (average) + Quiz (random)

Mid. Test #1 : * 2hr-test

Mid. Test #2 : * 2hr-test

Final Test : * 2hr-test

Others : roll call

Subtotal : 100%

Scoring



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ftp site: http://140.116.187.6(or http://ganymede.ee.ncku.edu.tw)

/ 開授課程 / 電磁學

username : guestpasswd : guest01

Download file : for example, em_01x.ppt

Part of the lectures will be updated during the semester.

Lecture Download



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Demonstration

Illustration of Divergence/Curl Concepts

Source: http://www.falstad.com/vector3d/directions.html



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Demo Example : a TEM wave (plane wave)

[source]: http://ocw.mit.edu/OcwWeb/ © 2003 MIT

Demonstration



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Demo Ex : Waveguide Example (T-Junction, by HFSS-V9)

Zero Offset 2um Offset

[the end]

Demonstration

Introduction 080915 Electromagnetic

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