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

T.H.Huang

What is Electromagnetics?

Electromagnetics –The study of the effects of electric charges

at rest (static fields)

and

in motion. (dynamic fields)

T.H.Huang

What is the subject of Electromagnetics to learn?

tD

JH

tB

E

0B

ρD

:Equations'

v

sMaxwell

T.H.Huang

Textbook & Recommendations

Textbook : “Elements of Electromagnetics,”(5th Int. Edition)

Matthew N.O. Sadiku,2011 Oxford University Press, New York, Oxford

T.H.Huang

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

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

T.H.Huang

Ref #1 : “Electromagnetics with Applications,”(5th Edition)Kraus / Fleisch,1999 McGRAW-Hill Companies

Textbook & Recommendations

T.H.Huang

Ref. #2 : “Engineering Electromagnetics,”(2nd Edition)Nathan Ida,2004 Springer-Verlag New York, LLC

Textbook & Recommendations

T.H.Huang

Ref. #3 : “Engineering Electromagnetics”(7th edition)William H. Hayt, Jr. and John A Buck,International Edition 2006.

Textbook & Recommendations

T.H.Huang

Textbook & Recommendations

Ref. #4 : “Electromagnetics for High-Speed Analog andDigital Communication Circuits,”Ali M. Niknejad,2007 CAMBRIDGE UNIVERSITY PRESS

(進階應用課本)

T.H.Huang

課外書 -1 : “A Student’s Guide to Maxwell’s Equations,”by Daniel Fleisch，台大物理系名譽教授 鄭以禎 譯,天下文化出版社，2010.

(科普讀物)

Textbook & Recommendations

T.H.Huang

Textbook & Recommendations

課外書 -2 : “Nature’s Numbers: The Unreal Reality ofMathematics”，Ch.5, by Ian Stewart, 葉李華 譯,

天下文化出版社，2010.(科普讀物)

T.H.Huang

Contents in the Textbook for the first semester :

Ch1 - 2. Vector Algebra, Coordinate Systems and Transformations

Ch3. Vector Calculus

Ch4 - 5. Electrostatic Fields; Electric Fields in Material Space

Ch6. Electrostatic Boundary-Value Problems

Ch7. Magnetostatic Fields

Ch8. Magnetic Forces, Materials, and Devices

Ch9. Maxwell’s Equations

Ch10. Electromagnetic Wave Propagation

Ch11. Transmission Lines

Textbook Contents

T.H.Huang

Contents in the Textbook - 2 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

T.H.Huang

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

T.H.Huang

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

T.H.Huang

An Overview - What we will learn?

3 coordinate systems : Cartesian, Cylindrical, and Spherical

Vector algebra : dot product (．),cross product (x), right-hand rulegradient operation (▽),

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

0. Vector Algebra:

T.H.Huang

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)

An Overview - What we will learn?

T.H.Huang

C. Time-Varying (Dynamic) Fields :

Current Continuity Equation:t

vρJ

Faraday’s Law :t

BE

(postulate) Time-varying

An Overview - What we will learn?

T.H.Huang

C. Dynamic Fields : (cont.)

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

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

An Overview - What we will learn?

T.H.Huang

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)

V σV meS

dvpdvwwt

sdP

EM energy density Omic power densityPowerflowing into the surface

An Overview - What we will learn?

T.H.Huang

E. Transmission Lines :

Time-Harmonic Transmission-Line Equations

Characteristic Impedance: Zo

An Overview - What we will learn?

< in 電磁學觀點?>

T.H.Huang

E. Transmission Lines : (cont.)

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

Smith Chart (Z-/G-type)

An Overview - What we will learn?

T.H.Huang

The Course Schedule

month Week # content Teaching Test Homework

09 01 Ch1/Ch2 1+1 hr

03 Ch2/3 1+2 hr quiz * HW#102 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 hr08 Ch4/5 1+2 hr HW#3

10 Ch5/6 1 hr mid. 2hr HW#411 Ch6 1+2 hr quiz *

13 Ch6/7 1+2 hr HW#512 Ch6 1+2 hr

15 Ch7 1+2 hr quiz *14 Ch7 1+2 hr

17 Ch8 1+2 hr16 Ch8 1+2 hr HW#6

18 Final 3hr

10

11

12

01

05 Ch3 1+2 hr mid. 2hr

T.H.Huang

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

T.H.Huang

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

T.H.Huang

Demonstration

Illustration of Divergence/Curl Concepts

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

T.H.Huang

Demo Example : a TEM wave (plane wave)

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

Demonstration

T.H.Huang

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

Zero Offset 2um Offset

[the end]

Demonstration