北京理工大学电磁场Ch.1

《Field and Wave Electromagnetics》，David K. Cheng, 清华大学出版社
Exercise Problems：
北京理工大学
Beijing Institute of Technology
Requirement of This Course
1820
Biot-Savart-Laplace
d F12
ˆ 0 I 2 d l 2 I 1 d l 1 r1 2 4
7
r1 2
N /A
2
2
0 4 10
permeability
Ampere’s Law
B dl I
0 L
北京理工大学
Beijing Institute of Technology
Az B x
ˆ Ax B z z
A
x
B y Ay Bx
北京理工大学
Beijing Institute of Technology
Vector Identities
A
B A B AB
C A B A B C B C A
One of Masterworks in the whole mankind civilization history
北京理工大学
Beijing Institute of Technology
Content of This Course
How is Electromagnetic Field Theory established? (Ch.1)
ˆ A B = n A B sin
B
ˆ n

A
B A B AB
A B B A
anticommutative
ˆ x A B = Ax Bx
AB C

A B AC
A
ˆ y Ay By
ˆ z Az Bz
ˆ ˆ = x Ay B z Az B y y
Gradient of a Scalar Field
Cartesian Coordinates
ˆ f =x
f x
ˆ y
f y
ˆ z
f z
The gradient operator usually operates on a scalar physical quantity, and the result of the operation is a vector whose magnitude equals to the maximum rate of change of the physical quantity per unit distance and whose direction is along the direction of maximum increase. Cylindrical Coordinates
Title of This Course
Electromagnetic Field Theory
Electromagnetic Wave Theory
Electric Electrics Theory: A statement or group of statements established by reasoned argument based on known facts, intended to explain a particular fact or event ( Longman Dic.) Set of reasoned ideas intended to explain facts or events (Oxford Dic.) 人们由实践概括出来的关于自然界和社会的知识的有系统的结论 （现代汉语词典）
电子信箱： xsheng@
电话: 68949049
/daoshi/博导网页/盛新庆.htm 北京理工大学
Beijing Institute of Technology
Outline
A Brief Introduction of This Course
ˆ ˆ ˆ B =x Bx y B y z Bz
ˆ ˆ ˆ A B = x Ax B x y A y B y z Az B z
ˆ ˆ ˆ A = A A z A z
ˆ ˆ ˆ B = B B z B z
ˆ ˆ A B ？ A B A B z A z B z = ˆ
北京理工大学
Beijing Institute of Technology
Dot Multiplication of Vectors
A B = A B cos
A
A
B A B AB
Commutative Distributive
AB BA
A B C


A B A C
B
A B = Ax B x A y B y Az B z
北京理工大学
Beijing Institute of Technology
Cross Multiplication of Vectors
Physical Background, Mathematical Background, Academic Tradition Background
How to employ Electromagnetic Field Theory to solve the typical problems in the current information Age?
Propagation and Transmission, Radiation, Scattering (Ch.2, Ch.3, Ch.4)
北京理工大学
Beijing Institute of Technology
Reference Books of This Course
《电磁波述论》，盛新庆，科学出版社
Vector Representation Transformations of Vector Representation in Different
Coordinate Systems
北京理工大学
Beijing Institute of Technology
Vector Representation
Vector Analysis
Hamilton, 1805-1865, Britain
Gibbs,
1839-1903, U.S.A
Heaviside, 1850-1925, Britain
北京理工大学
Beijing Institute of Technology
Vector Analysis
Definition of Vector
Explain the title; Importance; Contents; Reference books;
The Physical Background of Establishing Electromagnetic Wave Theory
北京理工大学
Beijing Institute of Technology
北京理工大学
Beijing Institute of Technology
Mathematical Background of Establishing Electromagnetic Wave Theory
Calculus
Newton, 1642-1727, Britian Leibnitz, 1646-1716, Germany
Electric in Ligntning
1600A.D.
Western
600BC 1492A.D. amber
magnetic declination angle
北京理工大学
Beijing Institute of Technology
Coulomb’s Law
Torsion balance
Coulomb, French, 1736-1806 1784-1785
z
y
x z
ˆ ˆ ˆ A = x Ax y A y z Az


ˆ ˆ ˆ A = A A z A z

北京理工大学
Beijing Institute of Technology
Vector Addition and Substration
ˆ ˆ ˆ A = x Ax y A y z Az
北京理工大学
Electronics
Magnetic Magnetism
Beijing Instituteof This Course
One of Fundamental Courses in Our Information Age
Wireless Communications (Satellite communication Mobile Phone), Radar, et al. stealthy aircraft, low-observable targets
C A B A C B B C A
北京理工大学
Beijing Institute of Technology
Vector Analysis
Operators
Gradient Divergence Curl
北京理工大学
Beijing Institute of Technology
16
ε 0 8 .8 5 4 1 8 7 8 1 7 8 1 0