S004302-电磁场工程的数学基础

发布者:沈如达发布时间:2018-04-23浏览次数:17

研究生课程开设申请表

 开课院(系、所):信息科学与工程学院       

 课程申请开设类型: 新开□     重开       更名□请在内打勾,下同

课程

名称

中文

电磁场工程的数学基础(原名:微波应用数学)

英文

Mathematical Foundations for Electromagnetic Engineering

待分配课程编号

S004302

课程适用学位级别

博士


硕士

总学时

60

课内学时

48

学分

3

实践环节

12

用机小时


课程类别

公共基础     专业基础     专业必修     专业选修

开课院()

信息科学与工程学院

开课学期

秋季

考核方式

A.笔试(开卷   闭卷)      B. 口试    

C.笔试与口试结合                 D. □其他

课程负责人

教师

姓名

章文勋

职称

教授

e-mail

wxzhang@ieee.org

网页地址

/

授课语言

课件地址


适用学科范围

电子科学与技术

所属一级学科名称

电磁场与微波技术

实验(案例)个数


先修课程


教学用书

教材名称

教材编者

出版社

出版年月

版次

主要教材

无线电技术中的微分方程

章文勋

国防工业出版社

1982

1

主要参考书

















一、课程介绍(含教学目标、教学要求等)300字以内)


掌握基本电磁场问题的微分方程数学表述和建模方法,场论的基本运算,简单电磁场边值问题的解析方法和解的意义。了解复杂电磁场问题的应用背景和数学性质。


二、教学大纲(含章节目录):(可附页)


* 矢量和并矢分析

* 偏微分方程的定解问题

* 特殊函数类

* 分离变量法

* 格林函数法

* 保角变换法


三、教学周历

 周次

 教学内容

 教学方式

1

 引论。 正交曲线坐标系。 矢量和并矢代数。

 讲课

2

 场函数的微积分。 微分算子表示法。

 讲课

3

 场论的积分定理。 并矢分析。

 讲课

4

Maxwell 方程。 电磁场量之间的关系。

 讲课

5

 电磁场的定解问题。 传输线的定解问题。

 讲课

6

Bessel 函数族。

 讲课,讨论课

7

Legendre函数族。 Mathieu函数族。

 讲课

8

 分离变量法解传输线问题。 解Laplace 边值问题。

 讲课

9

 解Helmholtz边值问题。

 讲课

10

 轴向波导的边值问题。 径向波导的边值问题。

 讲课,讨论课

11

 空间冲激函数。 非齐次方程的积分形式解。

 讲课

12

 自由空间的Green 函数。 边值问题Green 函数。

 讲课

13

 辐射积分和绕射积分。 并矢Green 函数。

 讲课,讨论课

14

 复变量函数的基本性质。 初等函数的保角变换。

 讲课

15

 广义多角形和多角形变换。

 讲课

16

 椭圆积分和椭圆函数族。 用椭圆积分的多角形变换。

 讲课,讨论课


四、主讲教师简介:

章文勋193712月出生于上海市。1958年毕业于原南京工学院无线电工程系,自2月起留系任教至今。1985年任教授,1986年获博士生导师资格。研究方向:电磁理论与计算方法、天线与电波传播、导波与无源部件等。出版专著三册,发表论文400余篇。曾获原国家教委科技进步(理论成果)一等奖。曾任原国家教委电工类课程指导委员会成员。中国电子学会会士,IEE Fellow, IEEE Fellow, URSI Official Member, Electromagnetics Academy Member。受聘《J. Electromagnetic Waves and Appl.》、《Electromagnetics》、《Microwave and Opt. Tech. Lett.》、《Waves in Random Media》等学刊的编委会成员。曾多次应美、加、澳、英、法、意、西、比、瑞士、德国、芬兰、日、韩、印、越、新等国,以及港、台地区的大学或研究机构的邀请讲学。与国际电磁学界有着广泛而积极的联系

五、任课教师信息(包括主讲教师):

 任课

 教师

 学科

 (专业)

 办公

 电话

 住宅

 电话

 手机

 电子邮件

通讯地址

 邮政

 编码

章文勋

电磁场与微波技术

83790805

86207002


wxzhang@ieee.org









Application Form For Opening Graduate Courses

School (Department/Institute)School of Information Science and Engineering

Course Type: New Open □   Reopen      Rename □Please tick in □, the same below

Course Name

Chinese

电磁场工程的数学基础           (原名:微波应用数学)

English

Mathematical Foundations of Electromagnetic Engineering

Course Number

S00443

Type of Degree

Bachelor


Master

Total Credit Hours

60

In Class Credit Hours

48

Credit

3

Practice

12

Computer-using Hours


Course Type

Public FundamentalMajor Fundamental    □Major Compulsory     □Major Elective

School (Department)

School of Information science and Engineering

Term

Autumn

Examination

A.PaperOpen-book   □ Closed-bookB. □Oral   

C. □Paper-oral Combination                       D. □ Others

Chief

Lecturer

Name

ZHANG Wenxun

Professional Title

Professor

E-mail

wxzhang@ieee.org

Website

/

Teaching Language used in Course

Chinese

Teaching Material Website

/

Applicable Range of Discipline

Electromagnetics and Microwaves

Name of First-Class Discipline

Electronic Science and Technology

Number of Experiment


Preliminary Courses

Mathematical Foundations for

Electromagnetic Engineering

Teaching Books

Textbook Title

Author

Publisher

Year of Publication

Edition Number

Main Textbook

Differential Equations in Radio Engineering

Wen Xun ZHANG

New Times Press

1982

1st

Main Reference Books

















  1. Course Introduction (including teaching goals and requirements) within 300 words:


Understanding the mathematical representation and model of basic electromagnetic problems

in forms of differential equation, the operation of field theory, the analytical solution of simple

electromagnetic boundary value problems with their engineering meanings.

Knowing the application aspects of complex electromagnetic problems with mathematical

features.



  1. Teaching Syllabus (including the content of chapters and sections. A sheet can be attached):

  * Vector and Dyadic Analysis

  * Deterministic Problems of Partial Differential Equations

* Special Functions

* Separation of Variables

* Greens Functions

* Conformal Mapping





  1. Teaching Schedule:


Week

Course Content

Teaching Method

1

Introduction.  Orthogonal curvilinear coordinates.  Vector and dyadic

algebras.

Class

2

Calculus of field functions.  Representation of differential operators

Class

3

Integral theorems of field theory.  Dyadic analysis.

Class

4

Maxwell;s equations.  Relations between the fields

Class

5

Deterministic problems of EM fields.  Deterministic problems of TL

problems.

Class

6

Bessel functions.

Class &

Discussion

7

Legendre functions.  Mathieu functions.

Class

8

Transmission line (TL) problems solved by the method of separation of

variables.

Laplace boundary value problems

Class

9

Helmholtz boundary value problems.

Class

10

Boundary value problems of axial guided waves and radial guided waves.

Class &

Discussion

11

Spatial impulse functions. Integral solutions of inhomogeneous equations

Class

12

Greens functions in free space.  Greens functions in boundary value

problems.

Class

13

Radiation integral and diffraction integral.  Dyadic Greens functions.

Class &

Discussion

14

Basic properties of function with complex argument.  Conformal mapping

Class

15

Generalized polygon and S.-C. transformation.

Class

16

Elliptic integrals and elliptic functions.

Conformal mapping using elliptic integrals.

Class &

Discission

17



18



Note: 1.Above one, two, and three items are used as teaching Syllabus in Chinese and announced on the Chinese website of Graduate School. The four and five items are preserved in Graduate School.


2. Course terms: Spring, Autumn , and Spring-Autumn term.  

3. The teaching languages for courses: Chinese, English or Chinese-English.

4. Applicable range of discipline: public, first-class discipline, second-class discipline, and third-class discipline.

5. Practice includes: experiment, investigation, research report, etc.

6. Teaching methods: lecture, seminar, practice, etc.

7. Examination for degree courses must be in paper.

8. Teaching material websites are those which have already been announced.

9. Brief introduction of chief lecturer should include: personal information (date of birth, gender, degree achieved, professional title), research direction, teaching and research achievements. (within 100-500 words)


  1. Brief Introduction of Chief lecturer:

ZHANG Wenxun was born in Shanghai in Dec. 1937. He graduated from the Dept. of Radio Eng., Nanjing Inst. of Tech. In 1958, and joined the faculty of the department until now. He was appointed as a full professor in 1985, and then an supervisor of Doctorial candidates in 1986. His interested areas are EM theory with computation methodology, antennas and propagation, guided wave and passive components, etc. He had published 3 monographies and some 400 papers. He had honored a first rank award of Achievement in Sci. & Tech. from the State Education Commission of China, and had been apointed as a member of National Advisory Committee of Electrical Engineering Couses. Zhang is a Fellow of CIE, a Fellow of IEE, a Fellow of IEEE, an official member of URSI, and a member of Electromagnetics Academy. He is invited to be a member of Editorial Boards of <J. Electromagnetic Waves and Applications>, <Electromegnetics>, <Microwave and Opt. Tech. Lett,>, and <Waves in Random Media>. He had been invited to give lectures or couses by the universiyies or research institutes in USA, Canada, Australia, UK, France, Italy, Spain, Belgium, Switzerland, Germany, Finland, Japan, South Korea, India, Vietnam, Singapore, and also Hong Kong and Taiwan, many times. He has active worldwide link with the EM community.



  1. Lecturer Information (include chief lecturer)


Lecturer

Discipline

(major)

Office

Phone Number

Home Phone Number

Mobile Phone Number

Email

Address

Postcode

Zhang Wenxun

Electromagnetics and Microwaves

83790805

86207002


wxzhang@ieee.org





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