| Semester: | 2023-2 |
| Responsable: | Prof. Philippe W. Courteille, philippe.courteille@ifsc.usp.br |
| Start and end of classes: | 16.8.2023 to 27.11.2023 |
| Queries: | via e-mail |
| Time and location of classes: | Mondays and Wednesdays from 10h00 to 12h00 in room 18 of bloco F2 or via
Google meet |
| Dates of the seminar: | 20.11.2023 to 27.11.2023 |
| Holidays: | 4.9.-9.9.2023 (semana da patria), 12.10.-14.10.2023 (Nossa Senhora Aparecida), 28.10 (consagração ao funcionário público), 15.11 (proclamação da república) |
| Language: | Portuguese, French, German or English (to be agreed with the students) |
| Workload: |
| Theory | 4 per week |
| Practice | 3 per weak |
| Studies | 8 per weak |
| Duration | 15 weaks |
| Total | 225 hours |
|
| |
| Content: |
This is a graduate course! The 'raison d'être' of graduate courses shall be to bring the student to the forefront of current research activities in the
the lecturer's area of expertise. For the present course this means that the student is supposed to be familiar with the basics of electromagnetism and its formalism.
It is up to the student who realizes that he has gaps of knowledge to fill them until being able to benefit from the lectures. Possible topics of this lecture include: |
| 1. Maxwell's equations |
| 2. Scalar and vectorial potentials |
| 3. Gauge transform |
| 4. Green's function for the wave eqution |
| 5. Basic equations of electromagnetism |
| 6. Conservation of linear and angular momentum for a system of charged particles and electromagnetic fields |
| 7. Plane waves in non-conducting media |
| 8. Polarization of electromagnetic waves |
| 9. Reflection and refraction of electromagnetic waves at plane interfaces between dielectrics |
| 10. Polarization by reflection and total internal reflection |
| 11. Frequency dispersion in dielectrics, conductors and plasmas |
| 12. Electromagnetic waves in conducting and dissipative media |
| 13. Kramers-Kronig's relations |
| 14. Cylindrical waveguides |
| 15. Cylindrical resonant cavities |
| 16. Radiation of localized harmonically oscillating sources |
| 17. Dipolar electric, dipolar magnetic, and quadrupolar electric radiation |
| 18. Simple antennas |
| 19. Scalar diffraction theory |
| 20. Vectorial diffraction theory |
| 21. Liénard-Wiechert potentials and fields for point-like particles |
| 22. Properties of electromagnetic fields and their sources upon Poincarré group transformations |
| 23. Energy emission rates, linear and angular momentum for an arbitrarily moving particle |
| 24. Radiation reaction |
|
| Evaluation/approvation: |
Written tests will be applied, homeworks will be given, and a seminar will be organized.
The seminar will include a written monograph and an oral presentation. The seminar grade counts 1/2 of the final grade. The
presentation of the exercises and the participation in the subsequent discussions will be evaluated and counts for 1/2 in the final grade. |
|
| Recomended literature: |
Philippe W. Courteille, Apostila do Curso: Electrodynamics |
| D.J. Griffiths, Introduction to Electrodynamics |
| J.B. Marion, Classical Eletromagnetic Radiation |
| W.K. H. Panofsky e M. Phillips, Classical Electricity and Magnetism |
| J.J. Jackson, Classical electrodynamics (John Wiley & Sons, 1999) |
| J.R. Reitz, F.J. Milford, R.W. Christy, Foundation of electromagnetic theory |
| Date of presentation | Chapter of script | Exercise | Topic |
| ----------------------------- | ------------------------ | ------------ | -------- |
| 16.08.2023 | 6.1.1 - 6.1.2 | | Maxwell's equations and Helmholtz's theorem, potentials |
| 22.08.2023 | | 6.1.5.2 | Plate capacitor (Julia) |
| 22.08.2023 | | 6.1.5.3 | Maxwell's equations for a particular charge and current density distribution (Nathan) |
| 22.08.2023 | | 6.1.5.4 | Atomic diamagnetism (Diego) |
| 22.08.2023 | 6.1.3 - 6.2.2 | | Macroscopic polarization and magnetization |
| 23.08.2023 | 6.2.3 - 6.3.2 | | Conservation laws, electromagnetic potentials and gauge transform |
| 28.08.2023 | | 6.1.5.5 | Variable charge with constant current (Diego, Bruno) |
| 28.08.2023 | | 6.1.5.6 | Force on magnetic monopoles (Anna) |
| 28.08.2023 | | 6.1.5.7 | Duality transform (Marcelo) |
| 28.08.2023 | | 6.1.5.8 | Quantization of magnetic monopoles (Bruno) |
| 28.08.2023 | 6.3.3 | | Green's function |
| 30.08.2023 | 6.3.4 - 6.3.7 | | Retardation, Jejimenko's equations, potentials and fields of a moving point charge |
| 04.09.2023 | 7.1.1 - 7.1.5 | |
(online) Wave propagation, polarization, energy flow, plane waves in dielectrics |
| 06.09.2023 | | 6.1.5.11 | Conductivity of seawater (Willer) |
| 06.09.2023 | | 6.2.5.2 | Energy flux in a current-carrying wire (Vinicius Pinto) |
| 06.09.2023 | | 6.2.5.3 | Intrinsic force of a charged sphere via Maxwell's tensor (Vinicios dos Santos) |
| 06.09.2023 | | 6.2.5.4 | Coulomb force via Maxwell's tensor (Diego) |
| 06.09.2023 | 7.1.6 - 7.1.6 | |
(online) Interfaces |
| 11.09.2023 | 7.1.7 - 7.2.3 | | Transfer matrix formalism, optical dispersion, the Lorentz model |
| 13.09.2023 | | 6.2.5.5 | Force on a current distribution in a magnetic field (Jaime) |
| 13.09.2023 | | 6.2.5.7 | Angular momentum of an electromagnetic field (Bruno) |
| 13.09.2023 | | 6.2.5.9 | Magnetic momentum of the electron (Anna) |
| 13.09.2023 | 7.2.4 | | Radiative forces |
| 13.09.2023 | | 6.3.8.1 | Potentials, fields, and the Lorentz gauge (Luis) |
| 25.09.2023 | 7.2.5 - 7.2.6 | | The Drude model, the Kramers-Kronig relations |
| 27.09.2023 | | 6.3.8.3 | Fields derived from potentials (Julia) |
| 27.09.2023 | | 6.3.8.7 | Coulomb gauge (Nathan + Julia) |
| 27.09.2023 | | 6.3.8.9 | Gauge of retarded potentials (Marcelo) |
| 27.09.2023 | | 6.3.8.13 | Liénard-Wiechert potentials for a rotating charge (Willer) |
| 27.09.2023 | 7.3.1 - 7.3.3 | | Green tensor, plasmons, hyperbolic materials |
| 02.10.2023 | 7.3.4 - 7.3.6 | | Waveguides and cavities |
| 04.09.2023 | | 6.3.8.16 | Actio=reactio with the Lorentz force (Luis) |
| 04.09.2023 | | 7.1.8.4 | Jones matrices for a three-beam MOT (Vinicius Pinto) |
| 04.09.2023 | | 7.1.8.9 | Maxwell's tensor for a plane wave (Vinicios dos Santos) |
| 04.09.2023 | | 7.1.8.14 | Fake spherical wave (Diego) |
| 04.10.2023 | 7.4.1 - 7.4.2 | | Gaussian optics |
| 09.10.2023 | 7.4.3 - 8.1.3 | | Fourier optics, multipolar expansion of radiation |
| 16.10.2023 | | 7.1.8.15 | Spherical wave (Jaime, Bruno) |
| 16.10.2023 | | 7.1.8.20 | Birefringent crystal (Anna, Jaime) |
| 16.10.2023 | | 7.1.8.25 | Interfaces (Nathan) |
| 16.10.2023 | | 7.2.7.1 | Skin depth (Bruno) |
| 16.10.2023 | 8.1.4 - 8.2.2 | | Multipolar expansion of the wave equation, radiation of point charges |
| 18.10.2023 | | 7.2.7.9 | The Faraday effect (Lucas) |
| 18.10.2023 | | 7.3.7.10 | TEM waves in a hollow wave guide (Marcelo) |
| 18.10.2023 | | 7.3.7.18 | Airy formula (Luis) |
| 18.10.2023 | | 7.4.4.2 | Volume and power of a Gaussian beam mode (Vinicius Pinto) |
| 18.10.2023 | 8.3.1 - 8.3.2 | | Radiation reaction, diffraction and scattering |
| 23.10.2023 | 9.1.1 - 9.1.6 | | Relativistic metric and Lorentz transform |
| 25.10.2023 | | 7.4.4.3 | The lens in ray and wave optics (Vinícius) |
| 25.10.2023 | | 7.4.4.7 | Phasefront distorsion by an axicon and a thin lens (Diego) |
| 25.10.2023 | | 8.1.6.5 | Electric and magnetic fields of an oscillating electric dipole (Julia, Jaime) |
| 25.10.2023 | | 8.2.3.1 | Radiation emitted by a rotating electron (Nathan) |
| 25.10.2023 | 9.2.1 - 9.3.1 | | Relativistic mechanics and electrodynamics |
| 30.10.2023 | 9.3.2 - 9.3.5 | | Maxwell's stress tensor, energy and momentum conservation |
| 01.11.2023 | | 8.2.3.6 | Synchrotron radiation (Vinicius Malafatti) |
| 01.11.2023 | | 9.2.6.1 | Adding velocities (Willer) |
| 01.11.2023 | | 9.2.6.6 | Second order Doppler shift (Lucas) |
| 01.11.2023 | | 9.2.6.7 | Recoil- and Doppler-shift upon photon absorption (Lucas) |
| 01.11.2023 | | | Quantum sensing with correlated atoms and matter waves |
| 06.11.2023 | | | Lab visit |
| 8.-29.11.2023 | | | Seminar |
| 30.11.2023 | | | Lab course Turma 1 às 18h00 na Thorlabs |
| 04.12.2023 | | | Lab course Turma 2 às 18h00 na Thorlabs |
| 05.12.2023 | | | Lab course Turma 3 às 18h00 na Thorlabs |
|
| | | | Other possible topics |
| | | | Electromagnetic forces |
| | | | Optical forces |
| | | | Photonic recoil on free and confined atoms |
| | | | Mie scattering, scattering from continuous and from disordered clouds |
| | | | Bragg scattering from periodic clouds, photonic bands |
| Suggestions for seminar topics: | The quantum Hall effect, |
| Quantization of the electromagnetic field, |
| Magnetic monopoles, |
| The Thomas precession, |
| Superconductivity and the Meissner effect, |
| Cerenkov radiation, |
| Bremsstrahlung, |
| The Drude model for interaction of radiation with metals, |
| The Abraham-Minkowski dilemma, |
| The free electron laser, |
| The Aharanov-Bohm effect, |
| Forbidden photonic bands and photonic crystals, |
| Radiative forces and the Lorentz model, |
| The ionossphere as a resonant cavity: Schumann resonances, |
| Emission of radiation by a charged particle in gravity, |
| The Kramers-Kronig relations, |
| The Kerr effect, |
| The Goos-Hänchen shift, |
| Anderson localization, |
| Mie scattering and the first and second rainbow. |