EET 492: Electromagnetic Fields and Waves Fall 2007 Syllabus Lecturer Information: Name: Dr. Zhaoxian Zhou Office: TEC 326 Phone: (601)266 4482 Email: Zhaoxian.Zhou@usm.edu Web Page: www.usm.edu/zxzhou All communications including announcements, homework and solutions will be posted on the web. Please visit the class web daily. Office Hours: MTWT 11:00 12:00, and by appointment. Course Information: Number: EET 492 Title: Electromagnetic Fields and Waves Credit: 3 credit hours Time: 3:00-5:30 F Prerequisites: by permission from instructor Text book: Field and Wave Electromagnetics, 2 nd Ed. by D. K. Cheng, 1989 ISBN: 0-201-12819-5 Ref: Lecture notes: the most important reading materials Course Description: This junior course is an introductory course to electromagnetic fields and waves. Classical topics that will be covered in the course include essential mathematics; electrostatics; magnetostatics, time-varying fields; Maxwell s equations; transmission lines; waveguides and resonators; antennas and radiation. Course Overview: Electromagnetics is a prerequisite for many applications in electrical engineering. With exploitations of high frequency, broadband spectrum and high data rates, it is hard to find a device that works entirely without electromagnetism. A good understanding of electromagnetic fields and waves will absolutely benefit students of science and engineering in their future development both in academic fields and in industry: biomedical engineering and biotech; physics based signal processing and imaging; computer chip design and circuits; electronic systems; photonics and laser engineering; wireless communications and propagation; MEMS and microwave engineering; Radar engineering, RCS 1
analysis and design; antenna analysis and design; EMI/EMC analysis, and remote sensing. Course Topics: Fundamental mathematics Static electric fields Solution of electrostatic problems Steady electric currents and fields Static magnetic fields Time-varying electromagnetic fields Plane electromagnetic waves Antennas and radiation Course Outcomes: This course is to develop students an ability of basic vector analysis in electromagnetics; an ability to determine the electrostatic field quantities given electric charge distribution; an ability to solve simple electrostatic problems: Poisson s and Laplace s equations; an understanding of magnetostatic fields; an understanding of time-varying fields and Maxwell s equations; an understanding of plane-wave propagation in simple media; basic understanding of transmission lines, waveguides, resonators; basic concepts in antennas and radiations. Course Objectives: At the end of the instruction, you will be able to represent vectors in rectangle, cylindrical and spherical coordinate systems; calculate vector addition, subtraction, scalar and vector products, scalar and vector triple products; convert vector between different coordinate systems; perform integrals containing vector functions; calculate directive derivative and gradient of scalar functions; calculate flux and divergence, circulation and curl of vector fields. 2
calculate electric charges from given charges densities; calculate electric field intensity and electric potential from given charge densities; calculate electric field intensity by Gauss s law in free space and in dielectrics; determine boundary conditions for electrostatic fields. solve Laplace s equation and Poisson s equation in Cartesian coordinate system; perform separation of variables in Cartesian system; calculate electric field and potential by method of images. calculate current density; calculate resistance by Ohm s law; calculate power by Joule s law; calculate problems related to Kirchhoff s current law and voltage law; determine boundary conditions from steady current density. calculate magnetic flux density and vector magnetic potential from current distribution; calculate magnetic fields from Biot-Savart law and by Ampere s circuital law; calculate magnetic fields in dielectrics; determine boundary conditions of magnetic fields at interface. list and understand Maxwell s equations; calculate electric and magnetic Lorentz forces; derive Kirchhoff s current law and voltage law for high frequency circuits; calculate time-varying electromagnetic fields. establish basic concepts of EM plane waves and polarizations; calculate wave number, wave length, phase velocity, and group velocity; attenuation constant, and phase constant; calculate power received by antennas; calculate parameters related to refraction, reflection. calculate antenna parameters: gain and directivity, effective isotropic radiated power, received power density; analyze infinitesimal antenna, small dipole antenna, halfwavelength dipole antenna, small circular loop antenna, antenna arrays; list other types of antennas. Homework: There are biweekly homework assignments with questions related to the topics covered in the class. There are about 8 assignments. Solutions will be provided later. No homework submissions will be accepted once the solutions have been posted. Examinations: There will be two take-home exams in the course: a midterm exam and a final. The final exam will be cumulative. Grading: The breakdown of the final grade is as follows: Attendance 20% Homework 40% Midterm exam 20% Final exam 20% 3
Class participation and discussions and random quizzes may contribute to up to five bonus points. Final grades are based on 90-100 A 80-89 B 70-79 C 60-69 D 0-59 F Students should keep track of their scores and discuss with the instructor if they have any concerns. Collaborations: Students are encouraged to discuss any related topics in and after classes, with classmates and/or with the instructor. Active discussions may give students bonus points that may contribute to the final scores. Students may not copy solutions from anyone or anywhere. Any materials that are submitted must be the students own work. Absences: Students are required to attend every class. Random quizzes may carry bonus scores that may contribute to the final scores. Incompletes, Withdrawals, and Drops: Incompletes are given out only under extreme circumstances. If a student is running into problems with the course, please contact the instructor as early as possible so he/she will not fall behind. This course falls under all University policies for last day to drop courses, etc. Please see the Course Catalog for information on University services and policies. Please see the academic calendar for course dates, the last day to drop courses without penalty, and for financial disenrollment dates. Academic Honesty: Each student is expected to maintain the highest standards of honesty and integrity in academic and professional manners. No cheating or plagiarism. From USM Bulletin: When cheating is discovered, the faculty member may give the student an F on the work involved or in the course. If further disciplinary is deemed appropriate, the student should be reported to the Dean of Students. In addition to being a violation of academic honesty, cheating violates the Code of Student Conduct and may be grounds for probation, suspension, and/or expulsion. Students on disciplinary suspension may not enroll in any courses offered by The University of Southern Mississippi. Professionalism: Students are required to maintain a professional attitude in the class. Any disrespect of professor and/or of students is not tolerated. ADA Statement: If a student has a disability that qualifies under the American with Disabilities Act (ADA) and requires accommodations, he/she should contact the Office for Disability Accommodations (ODA) for information on appropriate policies and procedures. Disabilities covered by ADA may include learning, psychiatric, physical disabilities, or chronic health disorders. Students can contact ODA if they are not certain whether a 4
medical condition/disability qualifies. Address: The University of Southern Mississippi Office for Disability Accommodations 118 College Drive # 8586 Hattiesburg, MS 39406-0001 Voice Telephone: (601) 266-5024 or (228) 214-3232 Fax: (601) 266-6035 Individuals with hearing impairments can contact ODA using the Mississippi Relay Service at 1-800-582-2233 (TTY) or email Suzy Hebert at Suzanne.Hebert@usm.edu. Copyright: Any and all materials in this course fall under copyright laws and should not be downloaded, distributed, or used for any purposes outside of this course. Tentative Calendar: 5
Week Topics Readings 1 Syllabus; introduction; vector analysis Syllabus; Lecture notes 2 Coordinate systems Cheng s book: ch2 3 Integral of vectorial functions Cheng s book: ch2; 4 Static electric fields: electric fields and potentials Cheng s book: ch3 5 Static electric fields: Gauss s law; boundary conditions Cheng s book: ch3 6 Solutions of electrostatic fields: separation of variables Cheng s book: ch4 7 Solutions of electrostatic fields: method of images Cheng s book: ch4 8 Reviews and midterm 9 Current density; Ohm s law; Joule s law Cheng s book: ch5 10 Equation of continuity; KCL, KVL; boundary conditions Cheng s book: ch5 11 Biot-Savart law; vector magnetic potential; Lorentz force Cheng s book: ch6 12 Magnetic flux; magnetization; boundary conditions cheng s book: ch6 13 Faraday s law of induction; Ampere s law Cheng s book: ch7 14 Gauss law for electricity; Gauss law for magnetism Cheng s book: ch7 15 Plane wave; Poynting vector; Normal incidence and oblique incidence Cheng s book: ch8 16 Antennas and radiation; Reviews Cheng s book: ch11 6