北京理工大学电磁场Ch.1PPT课件.ppt
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1、北京理工大学Beijing Institute of Technology电磁场理论(第一讲)Electromagnetic Field Theory (Lecture 1)Electromagnetic Field Theory (Lecture 1)盛新庆(Sheng Xin-Qing)电磁仿真中心(Center for Electromagnetic Simulation)北京理工大学信息科学技术学院(School of Information Science and Technology,Beijing Institute of Technology)电子信箱: 电话:68949049
2、http:/ 1.北京理工大学Beijing Institute of TechnologyOutlineA Brief Introduction of This Course Explain the title;Importance;Contents;Reference books;The Physical Background of Establishing Electromagnetic Wave Theory2 2.北京理工大学Beijing Institute of TechnologyTitle of This CourseElectromagnetic Field TheoryE
3、lectromagnetic Wave TheoryElectric Electrics Electronics Magnetic MagnetismTheory:A statement or group of statements established by reasoned argumentbased 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
4、.)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)3 3.北京理工大学Beijing Institute of Technology Importance of This CourseOne of Fundamental Courses in Our Information Age Wireless Communications(Satellite communication Mobile Phone),Radar,et al.stealthy aircraft,low-observable targetsOne of Masterworks in the whol
5、e mankind civilization history4 4.北京理工大学Beijing Institute of Technology Content of This CourseHow is Electromagnetic Field Theory established?(Ch.1)Physical Background,Mathematical Background,Academic Tradition BackgroundHow to employ Electromagnetic Field Theory to solve the typical problems in the
6、 current information Age?Propagation and Transmission,Radiation,Scattering (Ch.2,Ch.3,Ch.4)5 5.北京理工大学Beijing Institute of TechnologyReference Books of This Course电磁波述论,盛新庆,科学出版社Field and Wave Electromagnetics,David K.Cheng,清华大学出版社Exercise Problems:http:/6 6.北京理工大学Beijing Institute of TechnologyRequi
7、rement of This CourseYou are required to do exercises and examinations in English.7 7.北京理工大学Beijing Institute of TechnologyPhysical Background of Establishing Electromagnetic Wave TheoryKnowledge in Electrics and Magntism Before Coulombs LawAfter Coulombs Law8 8.北京理工大学Beijing Institute of Technology
8、Before Coulombs LawEastern 100BC-100A.D.triboelectricity,triboluminescence 500BC magnetic stone1000A.D.Compass,magnetic declination angle 1600A.D.Electric in Ligntning Western600BC amber1492A.D.magnetic declination angle Observation9 9.北京理工大学Beijing Institute of TechnologyCoulombs LawCoulomb,French,
9、1736-18061784-1785Torsion balance1772 Cavendish 1785 Coulomb 1872 Maxwell 1971 Williams et al.permittivity1010.北京理工大学Beijing Institute of TechnologyAmperes LawOersted,1777-1851,Denmark1820Magnetized needleBiot-Savart-LaplaceAmperes Lawpermeability1111.北京理工大学Beijing Institute of TechnologyFaradays La
10、w1,Varing Electric Current2,Varing Magnetic FieldFaraday,1791-1867,Britain1831Neumann,1798-1895,GermanyElectromotive force1212.北京理工大学Beijing Institute of TechnologyMathematical Background of Establishing Electromagnetic Wave TheoryCalculusNewton,1642-1727,BritianLeibnitz,1646-1716,GermanyVector Anal
11、ysis Hamilton,1805-1865,BritainGibbs,1839-1903,U.S.AHeaviside,1850-1925,Britain 1313.北京理工大学Beijing Institute of TechnologyVector Analysis Definition of VectorVector RepresentationTransformations of Vector Representation in Different Coordinate Systems1414.北京理工大学Beijing Institute of TechnologyVector
12、Representationxyzzxyz1515.北京理工大学Beijing Institute of TechnologyTransformations of Vector Representation in Different Coordinate Systemsxyzz1616.北京理工大学Beijing Institute of TechnologyVector Addition and Substration?1717.北京理工大学Beijing Institute of TechnologyDot Multiplication of VectorsABCommutative Di
13、stributive1818.北京理工大学Beijing Institute of TechnologyCross Multiplication of VectorsABanticommutative 1919.北京理工大学Beijing Institute of TechnologyVector Identities2020.北京理工大学Beijing Institute of TechnologyVector Analysis OperatorsGradientDivergenceCurl 2121.北京理工大学Beijing Institute of TechnologyGradient
14、 of a Scalar FieldCartesian CoordinatesCylindrical CoordinatesSpherical CoordinatesThe 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 whos
15、e direction is along the direction of maximum increase.2222.北京理工大学Beijing Institute of TechnologyVector Identities2323.北京理工大学Beijing Institute of TechnologyDivergence of a Vector Field Cartesian CoordinatesCylindrical CoordinatesSpherical CoordinatesDefinitionGauss TheoremNet outward flux of F per u
16、nit volume as the volume about the point tends to zero.2424.北京理工大学Beijing Institute of TechnologyExampleIf ,find (or div A)at the point(1,-1,1).At point(1,-1,1)2525.北京理工大学Beijing Institute of TechnologyCurl of a Vector Field Cartesian CoordinatesCylindrical CoordinatesSpherical CoordinatesDefinition
17、Stokess TheoremNet circulation flux of F per unit area as the area about the point tends to zeroDirection is the normal direction of the area 2626.北京理工大学Beijing Institute of TechnologyExampleIf ,find (or curl A)at the point(1,-1,1).At point(1,-1,1)2727.北京理工大学Beijing Institute of TechnologyOften-Used
18、 Symbols2828.北京理工大学Beijing Institute of TechnologyVector IdentitiesIf,we can defineVector can expressed as the gradient of a scalar fieldIf ,we can defineVector can expressed as the curl of another vector filed.2929.北京理工大学Beijing Institute of TechnologyVector Identities3030.北京理工大学Beijing Institute o
19、f TechnologyVector Theorems First-Kind Scalar Green TheoremSecond-Kind Scalar Green TheoremFirst-Kind Vector Green TheoremSecond-Kind Vector Green Theorem3131.北京理工大学Beijing Institute of TechnologyHelmholtzs Theorem A vector field is determined to within an additive constant if both its divergence an
20、d its curl are specified everywhere.3232.北京理工大学Beijing Institute of TechnologyWestern Academic Tradition西方科学的发展是以两个伟大的成就为基础,那就是:希腊哲学家发明的形式逻辑体系(在欧几里得几何学中),以及通过系统的实验发现有可能找出因果关系(在文艺复兴时期)。-爱因斯坦文集第一卷第574页 3333.北京理工大学Beijing Institute of TechnologyDevelopment of Western Academic TraditionEuclid(欧几里得)Eucli
21、ds Elements 几何原本 I.Newton(牛顿)Mathematical Principle of Natural Philosophy 自然哲学的数学原理I.Kant(康德)Critique of Pure Reason 纯粹理性的批判3434.北京理工大学Beijing Institute of Technology欧几里得 的几何原本 Euclids ElementsEuclidEuclid(300BC)Educated in Plato Academy(柏拉图学院),lived in Alexander City (亚历山大城)Euclids ElementsEuclids
22、ElementsBegin with definitions and axioms,then prove 467 propositions by reason,include 13 Chs.,3535.北京理工大学Beijing Institute of Technology牛顿的自然哲学的数学原理 Mathematical Principle of Natural PhilosophyMathematical Principle of Natural PhilosophyNewton(1642-1727)Educated in Trinity College of Cambridge Uni
23、v.(剑桥的三一学院),lived in Lincolnshire、Cambridge、London Mathematical Principle of Natural PhilosophyMathematical Principle of Natural Philosophy Three Versions(1687,1713,1726,拉丁文;1729,英文)Mechanics Theory(Three Mechanics Laws and Universal Gravitations Law,reasoned,explain many natural facts,more importan
24、tly,accurately predicted natural phenomena)3636.北京理工大学Beijing Institute of Technology康德的纯粹理性的批判 Kants Critique of Pure ReasonKant(1724-1804)受教于哥尼斯堡大学,生活于哥尼斯堡Critique of Pure ReasonCritique of Pure ReasonTwo Versions(1781,1787)Pure investigation on academic tradition founded by NewtonFour Famous Anti
25、nomies 3737.北京理工大学Beijing Institute of TechnologyChinese Academic Tradition“博学而笃志,切问而近思,仁在其中矣。”Widely learning and sincerely intend,question precisely and reflect what is at hand,ren will be there -论语论语 (the Analects of Confucius)子张篇第十九What kind of questions are worth to be studied?Questions closely
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