Aditya Varma Muppala

Aditya Varma Muppala

Assistant Professor at the University of California, Berkeley

EE 210 - Applied Electromagnetic Theory

Lecture Recordings and Notes

Course Introduction and Pre-requisites. Notes Video

  1. EM01: Maxwell’s Equations in Differential and Integral Form. Notes Video
  2. EM02: Boundary Conditions and Constitutive Relations. Notes Video
  3. EM03: Dielectric and Conductor Models: Lorentz, Drude, Kramers-Kronig. Notes Video
  4. EM04: EM Tools: Equivalent Currents, Duality, Image Theory. Notes Video
  5. EM05: EM Theorems: Poynting, Uniqueness, Field Equivalance. Notes Video
  6. EM06: Solving Maxwell’s Equations Using EM Potentials. Notes Video
  7. EM07: Time Harmonic EM Waves, Radiation. Notes Video
  8. EM08: Antenna Concepts, Friis Transmission, Dipole, Small Loop. Notes Video
  9. EM09: Babinet Theorem, Frequency Independent Antennas. Notes Video
  10. EM10: Patch Antennas, Circular Pol., Bandwidth Enhancement, Miniaturization. Notes Video
  11. EM11: Antenna Arrays: Array Factor, Pattern Multiplication, Uniform Linear Arrays. Notes Video
  12. EM12: Green’s Functions, Radiation Boundary Conditions. Notes Video
  13. EM13: Reciprocity and Non-reciprocity in Electromagnetism. Notes Video
  14. EM14: Dyadic (Tensor) Green’s Functions (Solving EM Fields Without Potentials). Notes Video
  15. EM15: Extinction Theorem, Integral Equation Formulation, Method of Moments. Notes Video
  16. EM16: Magnetic Field Integral Equation, Physical Optics, Geometrical Optics. Notes Video
  17. EM17: Plane Waves, Angular Spectrum, K-space, Diffraction Limit. Notes Video
  18. EM18: Plane Waves in Lossy Media, Anisotropic Media; Poincare Sphere. Notes Video
  19. EM19: Fresnel Reflection and Transmission, Goos-Hanchen Phase Shift; Fabry Perot Resonance. Notes Video
  20. EM20: Introduction to Waveguides, TE/TM Solutions, Dielectric Slab Waveguide. Notes Video
  21. EM21: Rectangular Waveguides, Phase Velocity, Group Velocity, Orthogonality of Modes. Notes Video
  22. EM22A: Calculus of Variations for Modes of an Arbitrary Waveguide. Notes Video
  23. EM22B: Finite Element Method, Rayleigh-Ritz and Galerkin Formulations. Notes Video
  24. EM23: Cylindrical Wave Functions (Bessel, Hankel), Cylindrical Waveguides. Notes Video
  25. EM24: Cylindrical Dielectric Waveguides, Fiber Optic Modes (TE/TM, EH/HE and LP). Notes Video
  26. EM25: Spherical Wave Functions, Multipole Expansion, Super-Directive Antennas. Notes Video
  27. EM26: Plane Wave Scattering from Spheres, Rayleigh Scattering, Creeping Waves. Notes Video
  28. EM27: Electrically Small Antennas; Deriving the Chu-Harrington BW-Efficiency Limit. Notes Video

CAD Tutorials

  1. EM06L: Introduction to ANSYS HFSS, Extracting Fields. Video
  2. EM08L: Plotting Different Antenna Results in ANSYS HFSS. Video
  3. EM11L: Simulating Phased Arrays in ANSYS HFSS. Video
  4. EM14L: MATLAB Code for Dyadic Green’s Function Integral, HFSS Near-Field Demo. Video
  5. EM16L: Design and Simulation of Reflector Antennas using IE, PO and SBR+ in ANSYS HFSS. Notes Video

Course Information

Course Objectives

To develop a strong foundation in electromagnetic theory for applications in antenna design, RF/microwave circuits, waveguides and resonators, computational electromagnetics, wave propagation, optics, and scattering. Emphasis will be placed on understanding the theory and applying it in a wide range of CAD experiments using ANSYS HFSS.

Syllabus

  1. Maxwell’s equations: Differential and integral form, boundary conditions.
  2. Wave–matter interactions: Constitutive relations, Lorentz model, Drude model, dispersion relations.
  3. Electromagnetic theorems: Image theory, Poynting theorem, uniqueness, field equivalence, reciprocity, and extinction theorems.
  4. Electromagnetic potentials: Wave equation, Green’s functions, radiation boundary condition, and antenna concepts.
  5. Computational EM: Integral equations, method of moments, physical optics, and geometrical optics.
  6. Plane waves: Plane wave expansion and angular spectrum, TE/TM field solutions, reflections from boundaries, wave propagation in inhomogeneous media, and negative index media.
  7. Waveguides and resonators: Rectangular, cylindrical, and arbitrary cross-section waveguides of metal and dielectric materials; calculus of variations.
  8. Scattering: Multipole expansions, plane wave scattering from spheres, creeping waves.
  9. Advanced topics in antennas: Electrically small antennas, characteristic mode analysis (CMA), UWB antennas, and metamaterials.

Textbook

Foundations of Applied Electromagnetics by Kamal Sarabandi (free link).

Reference Books

  1. Kong, J. A., Electromagnetic Wave Theory (free link)
  2. Harrington, R. F., Time-Harmonic Electromagnetic Fields
  3. Balanis, C. A., Advanced Engineering Electromagnetics
  4. Jin, J. M., Theory and Computation of Electromagnetic Fields
  5. Jackson, J. D., Classical Electrodynamics
  6. Born, M. and Wolf, E., Principles of Optics
  7. Chew, W. C., Lectures on Electromagnetic Field Theory (free link)

Lecture Recordings and Notes

I will record lectures separately and post them to my YouTube channel. I prefer this since web capture on a whiteboard does not do a good job. Also, I will post the lecture notes on my website and to bCourses as the course progresses.

Homework and Exams

One homework per week will be assigned on Sunday and due the following Sunday at midnight (11:59 PM). No penalty extension of two days is usually given.

The first part of every homework will be to upload your notes from that week’s lectures. This is to encourage you to take notes, which has been shown to improve learning and long-term retention, especially in mathematics. It is also an easy way to get points in the homework. You need not take notes in class during lecture. You can take them any time from the uploaded lecture notes or the lecture recordings. They can be handwritten or typed. If you do not want to take notes, that is fine, see grading policy below.

Additionally, there will be two to three problems and/or one CAD assignment in HFSS per week. I encourage collaboration, but every student must turn in individual homework and CAD solutions. I don’t oppose the use of AI tools in solving homework problems. If you did use AI to solve part of a problem, say to solve an integral, be sure to cite it in your solution. There is no penalty for using AI, but remember that deep understanding comes from the confusion and frustration you go through when wrapping your head around a new problem or concept. If you don’t put yourself through this, you will have learned nothing more than how to be a good prompt engineer, which is not the goal of this course.

We will have one mid-term and one final. Exam problems will be equivalent in difficulty to the homeworks. The main goal of exams is to force you to review the class material and test your conceptual understanding of the subject. As long as you do all the homeworks and have reviewed the material in class well, you will do well on the exams.

Grading

Your lowest homework grade will be dropped.

Score 1 = 20% Notes + 40% HW (including CAD) + 20% Mid-term + 20% Final.

Score 2 = 40% HW (including CAD) + 30% Mid-term + 30% Final.

Final grade = max{Score 1, Score 2}

Accessibility and Mental Health Resources

UHS offers mental health services to all UC Berkeley students regardless of insurance plan. Please see: link.

If you feel any part of the course content is not easily accessible due to your individual needs please let me know. Here are some resources: link 1, link 2.