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所在平台: Udemy |
课程主页: https://www.udemy.com/course/wave-theory/
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**课程名称：** 电磁波理论与麦克斯韦方程组 **课程概述：** 本课程全面深入地探讨电磁波理论与麦克斯韦方程组。从基础概念到实际应用，您将能够深刻理解电磁现象及其在各种工程领域的重要性。课程将引导您学习向量代数、坐标系、微分运算及分析电磁场必需的材料特性。您将认识到麦克斯韦方程组作为电磁学的基石，能够分析静电和动态条件下的电场与磁场。无论您是学生、专业人士还是业余爱好者，本课程都将为您提供知识和技能，自信地应对电磁学领域的实际挑战。 **课程内容：** * **第一部分：预备讲座** * **讲座1：概念回顾** 为接下来的学习打下坚实基础，全面回顾必要的概念。 * **第二部分：导论** * **讲座2：连续电荷分布产生的电场与电场强度（预览可用）** 探索连续电荷分布产生的电场基础，并深入理解电场强度的概念。 * **第三部分：高斯定律及其应用** * **讲座3：高斯定律及其应用（预览可用）** 揭示高斯定律的原理及其在理解电场和电荷分布中的广泛应用。 * **第四部分：电势与电场的关系** * **讲座4：电势与电场、电势的关系** 理解电势的概念及其与电场内在的联系，为深入理解电磁学奠定基础。 * **第五部分：电偶极子、电场线及等势面** * **讲座5：电场与电势的关系与电偶极子** 探索电场与电势之间错综复杂的关系，以及电偶极子现象。 * **讲座6：电场线、等势面与储能密度** 通过电场线和等势面直观展示电场，同时理解电场中的储能密度概念。 * **第六部分：材料特性与极化** * **讲座7：材料特性、对流与传导电流** 研究材料在电场中的行为，包括对流、传导电流及其影响。 * **讲座8：电介质中的极化与介电常数** 探索电介质中的极化概念，并理解介电常数在电磁学中的重要性。 * **第七部分：线性、各向同性、均匀介质、连续性方程与弛豫时间** * **讲座9：线性、各向同性、均匀介质、连续性方程与弛豫时间** 深入研究线性、各向同性、均匀介质的特性和行为，以及连续性方程和弛豫时间。 * **第八部分：电边界条件** * **讲座10：电边界条件** 深入了解电边界条件及其在理解材料界面处电场行为中的作用。 * **讲座11：电边界条件实例** 通过实际例子应用电边界条件原理，提升在电磁学问题解决能力。 * **第九部分：电阻与电容** * **讲座12：电阻与电容（第一部分）** 探索电路中的电阻与电容概念，为理解电路行为奠定基础。 * **讲座13：电阻与电容（第二部分）** 进一步深入研究电阻与电容的复杂性，考察其在电气系统和电路中的作用。 * **第十部分：泊松方程与拉普拉斯方程、唯一性定理** * **讲座14：泊松方程与拉普拉斯方程、唯一性定理** 理解泊松方程与拉普拉斯方程，以及唯一性定理，及其在解决静电问题中的重要性。 * **第十一部分：镜像法** * **讲座15：镜像法** 探索镜像法作为解决涉及导体和介质的静电问题的强大工具。 开启您的电磁波理论学习之旅，掌握理解和应用电磁学于不同工程领域所需的扎实基础概念和分析技术。
Delve into the fascinating world of Electromagnetic Wave Theory and Maxwell's Equations in this comprehensive course. From fundamental concepts to practical applications, you'll gain a thorough understanding of electromagnetic phenomena and their significance in various engineering disciplines. Explore vector algebra, coordinate systems, differential operations, and material properties essential for analyzing electromagnetic fields. Discover how Maxwell's Equations are the cornerstone of electromagnetics, enabling the analysis of electric and magnetic fields in static and dynamic conditions. Whether you're a student, professional, or enthusiast, this course equips you with the knowledge and skills to confidently tackle real-world challenges in electromagnetism.Course Contents:Section 1: Pre-Course LecturesLecture 1: Recap of Different Concepts Prepare for the journey ahead with a comprehensive recap of essential concepts, laying the groundwork for understanding electromagnetic theory.Section 2: IntroductionLecture 2: Electric Fields Due to Continuous Charge Distribution & Electric Field Density (Preview enabled) Explore the fundamentals of electric fields generated by continuous charge distributions and delve into the concept of electric field density.Section 3: Gauss's Law and ApplicationsLecture 3: Gauss's Law and its Applications (Preview enabled) Uncover the principles of Gauss's Law and its wide-ranging applications in understanding electric fields and charge distributions.Section 4: Electric Potential and Relationship with Electric FieldLecture 4: Electric Potential and Relationship between Electric Field and Potential Understand the concept of electric potential and its intrinsic relationship with the electric field, paving the way for deeper insights into electromagnetism.Section 5: Electric Dipole, Electric Flux Lines, and Equipotential SurfacesLecture 5: Relationship between Electric Field and Electric Potential & Electric Dipole Explore the intricate relationship between electric fields and potentials, along with the phenomenon of electric dipoles.Lecture 6: Flux Lines, Equipotential Surfaces & Energy Density Dive into the visualization of electric fields through flux lines and equipotential surfaces, while also understanding the concept of energy density within electric fields.Section 6: Properties of Materials and PolarizationLecture 7: Properties of Materials, Convection & Conduction Currents Investigate the behavior of materials in electric fields, including convection, conduction currents, and their implications.Lecture 8: Polarization in Dielectrics, Dielectric Constant Explore the concept of polarization in dielectric materials and understand the significance of dielectric constants in electromagnetism.Section 7: LIH Dielectrics, Continuity Equation, and Relaxation TimeLecture 9: Linear, Isotropic, and Homogeneous Dielectrics, Continuity Equation, and Relaxation Time Delve into the properties and behavior of linear, isotropic, and homogeneous dielectric materials, along with the continuity equation and relaxation time.Section 8: Electric Boundary ConditionsLecture 10: Electric Boundary Conditions Gain insights into electric boundary conditions and their role in understanding the behavior of electric fields at material interfaces.Lecture 11: Electric Boundary Conditions Examples Apply the principles of electric boundary conditions through practical examples, enhancing your problem-solving skills in electromagnetism.Section 9: Resistance and CapacitanceLecture 12: Resistance and Capacitance (Part 1) Explore the concepts of resistance and capacitance in electrical circuits, laying the foundation for understanding circuit behavior.Lecture 13: Resistance and Capacitance (Part 2) Further delve into the intricacies of resistance and capacitance, examining their role in electrical systems and circuits.Section 10: Poisson's & Laplace's Equations, Uniqueness TheoremLecture 14: Poisson's & Laplace's Equations, Uniqueness Theorem Understand Poisson's and Laplace's equations, along with the uniqueness theorem, and their significance in solving electrostatic problems.Section 11: Method of ImagesLecture 15: Method of Images Explore the method of images as a powerful tool in solving electrostatic problems involving conductors and dielectrics.Embark on your journey through Electromagnetic Wave Theory, mastering foundational concepts and analytical techniques essential for understanding and applying electromagnetism in diverse engineering domains.
