Howard University

Washington DC, 20059

DEPARTMENT OF PHYSICS AND ASTRONOMY tel.: +1-202-806-6245

 

Electromagnetic Theory II
PHYS-215 (13003): MW: 1:10–2:30 pm, Thirkield Hall, Rm. 103
[Topics] [Daily Schedule] [Minimal Requirements] [Assignments] [eGear]

Instructor: Tristan Hübsch
Office hours: M 2:30–5:00 pm, T 1:00–5:00 pm, W 2:30–3:00 pm, and by appointment (a day in advance); check my weekly schedule
Office: Thirkield Hall #213, 202-806-6267, thubsch@mac.com or thubsch@howard.edu

Textbook (required) J.D. Jackson: Classical Electrodynamics, (3rd ed.)
(optionalR. Wald: Advanced Classical Electromagnetism
(optionalA. Zangwill: Modern Electrodynamics
(optionalL.D. Landau & E.M Lifshitz: The Classical Theory of Fields
(optionalW. Greiner & D.A. Bromley: Classical Electrodynamics
(optionalD.J. Griffiths: Introduction to Electrodynamics

Grading recipe (no make-ups are offered, except in cases of documented medical or family emergency):

Component Time Remark % of Grade
Homework See in daily schedule Late HW = 0 credit !!! 20%
Classwork/Quizzes unannounced current material; short and straightforward 20%
Midterm Exams
(two)
See in daily schedule material covered since the previous exam 20% (each)
Drop the one worst of the above components (for each student individually).
Final exam Last week of semester comprehensive: complete course content 40%

— See also the minimal requirements for passing the course —


The goal of this course is to explore the details of electrodynamic interactions, continuing the topics covered in the prequel (Electromagnetic Theory I). To this end, we will discuss the Lorentz-covariant formulation of electrodynamics, the interaction of the electromagnetic field with charged particles in motion. We then focus on specific configurations and arrangements, involving: (1) electromagnetic waves in nonconducting media, cavities and waveguides, (2) the multipole expansion of electromagnetic fields, radiation, scattering and diffraction, and various radiative processes. The course finishes with a brief review of electrodynamic feedback and the classical models of charged particles.

“Success = 1% inspiration + 99% perspiration” —T.A. Edison
However, learning is still 100% learning!

Topical Schedule

Ch.12 Relativistic Electrodynamics
Ch.7 Electromagnetic Waves in Nonconducting Media
1st Midterm exam, Ch.12 + Ch.7: in-class, 02/07; take-home part due 02/12
Ch.8 Waveguides and Optical Fibers
Ch.9 Multipole Fields and Radiation
2nd Midterm exam, Ch.8 + Ch.9: in-class, 03/13; take-home part due 03/18
Ch.10 Scattering and Diffraction
Ch.13 Collisions, Energy Loss and Scattering of Charged Particles
Ch.14 Radiation by Moving Charge
Ch.15 Bremsstrahlung, Virtual Quanta and Radiative Processes
Ch.16 Electrodynamics Feedback & Classical Models of Charged Particles
Final exam, comprehensive: take-home, given 04/17 — due 04/26

Day-to-Day Schedule

 — Students are required to read ahead — see also Howard University Calendars
01/08 Course logistics and review of the 1st semester material
01/10 D01 Relativistic charged particle and the EM field 1: §12.1–4
01/15    Observed Holiday: Martin Luther King, Jr.’ Birthday
01/17 D02 Relativistic charged particle and the EM field 2: §12.5–8
01/22 D03 Effective photon mass; Conservation laws; Green’s functions: §12.9–11
01/24 D04 EM waves in nonconducting media: §7.1–4 [HW1 due]
01/29 D05 Dispersion characteristics; Magnetohydrodynamics: §7.5–8
01/31 D06 Dispersion and causality; Kramers-Kronig relations: §7.9–11 [HW2 due]
02/05 D07 Cavity waveguides; Energy flow and attenutation: §8.1–5
02/07 1st Midterm Exam (Ch.12 + Ch.7) open-book in-class exam
take-home part due Monday, 02/12, 12:00 am (midnight, end of day)
02/12 D08 Boundary conditions; cavity resonances; Earth and Ionosphere: §8.6–9
02/14 D09 Multimode propagation; Dielectric waveguides; Normal modes: §8.10–12 [HW3 due]
02/19   Observed Holiday: Presidents’ Day
02/21 D10 Radiating systems; Dipole and quadrupole fields: §9.1–4 [HW4 due]
02/26 D11 Multipole expansion and fields; Angular momentum: §9.5–8
02/28 D12 Angular distribution of radiation; Multipole moments; Atoms, nuclei and antennae: §9.9–12 [HW5 due]
    03/02–10: Spring Recess
03/11 D13 Scattering and attenuation; spherical wave expansion of a vector plane wave: §10.1–3
03/13 2nd Midterm Exam (Ch.8–9) open-book in-class exam
take-home part due Monday, 03/18, 12:00 am (midnight, end of day)
03/18 D14 Scattering by a sphere; Diffraction theory: §10.4–7
03/20 D15 Diffraction by a circular aperture; Optical theorem: §10.8–11 [HW6 due]
03/25 D16 Collisions and energy loss: §13.1–3
03/27 D17 Cherenkov radiation; Scattering of charged particles; Transition radiation: §13.4–7 [HW7 due]
04/01 D18 Time-adjusted potentials; Radiation emissions & energy loss: §14.1–4
04/03 D19 Angular and frequency distribution of radiated energy; Undulators and wigglers: §14.5–8 [HW8 due]
04/08 D20 Collision radiation & Bremsstrahlung; Screening: §15.1–3
04/10 D21 Virtual quanta; Radiation in β-decay and electron capture: §15.4–7 [HW9 due]
04/15 D22 Electrodynamic feedback; classical & non-relativistic models of charged particles §16.1–3
04/17 D23 Electrodynamic feedback; classical & relativistic models of charged particles §16.5–8
Final Exam handed out; due Friday, 04/26, 12:00 am (midnight, end of day)
04/22 Review & Qualifier Questions
04/24 Review & Qualifier Questions
04/26 Final Exam due by 12:00 am (midnight, end of day)
All indicated times and deadlines cite “Eastern time,” standard or daylight-saving — as Howard University officially adopts.

Minimal Requirements

To pass the course with a grade B or better, a graduate Student must by the time of the final exam be able to demonstrate the ability to determine:

  1. the relativistic motion of charges in static electromagnetic fields, and the lowest-order relativistic corrections;
  2. the reflection and refraction of electromagnetic waves near plane interfaces between two uniform media;
  3. electromagnetic wave propagation in wave-guides and resonant cavities;
  4. the electromagnetic wave characteristics near radiating systems and far from them;
  5. the scattering of electromagnetic waves in simple media and from simple objects.

A graduate student who cannot demonstrate the above listed skills by the time of the final exam automatically forfeits a grade of B or better — regardless of the total number of points acquired in homework, quizzes and exams.

Homework assignments (33 Rubick’s Cube of Hard)

Students are encouraged to start working —collaboratively— on the HW problems early, as a preparation for the exams
Due Chapter.Problem
1. 01/24: End-of-Chapter 12: problems 12.2, 12.5 and 12.6; pp.617–618
2. 01/31: End-of-Chapter 7: problems 7.1, 7.3, 7.4; pp.340–341
3. 02/14: End-of-Chapter 7: problems 7.8, 7.12, 7.16; pp.342–346
4. 02/21: End-of-Chapter 8: problems 8.2, 8.4, 8.6; pp.397–399
5. 02/28: End-of-Chapter 8: problems 8.9, 8.12; pp.400–401  & Chapter 9: problem 9.1; pp.449–450
6. 03/20: End-of-Chapter 9: problems 9.3, 9.16, 9.22 (a,c); pp.450–455
7. 03/27: End-of-Chapter 10: problems 10.1, 10.3, 10.12; pp.507–511
8. 04/03: End-of-Chapter 13: problems 13.1, 13.5, 13.9; pp.655–657
9. 04/10: End-of-Chapter 14: problems 14.4, 14.12, 14.21; pp.699–704

All written assignments (HW & take-home tests) are due by 12:00 am (midnight), end of the day indicated and should be sent by e-mail as single (bundled) PDF files; to this end, using a camera-to-PDF-scanner app on a smart-phone or tablet is highly recommended. Late homework will not be accepted, except in cases of documented emergency.

 

Other Matters

Collaboration Policy

Collaboration — but not blind copying — on the homework assignments is strongly encouraged; students should use this to learn from each other. There is no substitute for the diverse previous experiences and wealth of knowledge brought together by a cohort of students. All exams and quizzes are open text and open class-notes (including notebooks and class handouts), but no collaboration is allowed; by signing and submitting the exams and quizzes, the student vouches to have abided by this policy. Violation of this policy is covered under University regulations on academic dishonesty and cheating.

Presentation and Organization

First and foremost: your assignments are your communication to the instructor of the level of expertise to which you have mastered the subject matter covered in the course. So, while a neat presentation of home,- quiz- and exam-work is not required for full credit, it certainly makes it easier to assess the quality of the work and give the proper credit due. In all cases, include a simple sketch if it might help conveying the approach or the calculations. Where necessary, include all units and symbols such as the measure of an integral, arrow on a vector, vertical bars for the absolute value of a quantity, for the magnitude of a vector or for the determinant of a matrix, etc.

Each assignment is to be submitted (and is date-stamped) by e-mail (→ thubsch@mac.com), as a single PDF file. Handwritten and other “hard-copy” answer-sheets should be scanned and bundled into a single PDF file — there are many smartphone and tablet apps that do this automagically; some printers also include a flatbed scanner, if you prefer.

University Attendance Policy

Class Attendance Restricted to Registered Students: Only students whose names appear on the official course roster are permitted to attend class meetings. Students who are not registered are not permitted to attend or participate in course activities, do not have access to Blackboard, cannot submit course assignments, and will not receive a grade for this course. It is the students’ responsibility to ensure that they are properly registered by the published registration deadline. Requests to add courses after the deadline will not be considered.

ADA Procedures

Howard University is committed to creating an accessible, inclusive, and safe learning environment for all students and providing equal access to students with documented disabilities. Students seeking reasonable accommodation must first register with the Office of Student Services (OSS). There you can engage in a confidential conversation about the process for requesting reasonable accommodations in the classroom and clinical settings, which the Office of Student Services (OSS) determines. Accommodations must be requested each semester. Accommodations are not provided retroactively. If you want to request accommodations, please contact OSS via email at oss.disabilityservices@howard.edu or visit https://howard.edu/disability-services

Statement on Sex and Gender-Based Discrimination, Harassment and Violence

Howard University’s Policy Prohibiting Sex and Gender-Based Discrimination, Sexual Misconduct and Retaliation (aka, the Title IX Policy) prohibits discrimination, harassment, and violence based on sex, gender, gender expression, gender identity, sexual orientation, pregnancy, or marital status. With the exception of certain employees designated as confidential, note that all Howard University employees – including all faculty members – are required to report any information they receive regarding known or suspected prohibited conduct under the Title IX Policy to the Title IX Office (TitleIX@howard.edu or 202-806-2550), regardless of how they learn of it. For confidential support and assistance, you may contact the Interpersonal Violence Prevention Program (202-836-1401) or the University Counseling Service (202-806-7540). To learn more about your rights, resources, and options for reporting and/or seeking confidential support services (including additional confidential resources, both on and off campus), visit titleix.howard.edu.

 

©2024, Tristan Hübsch