SYLLABUS
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Relativistic kinematics
Principles of special relativity. The Lorentz transformation.
4-vectors and 4-tensors.
The 4-tensor electromagnetic field and transformation of the electromagnetic field.
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Relativistic mechanics and field theory
Relativistic free particle. Charged particle in a vector potential.
The Maxwell equations. Gauge transformations.
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Waveguides, resonant cavities, and optical fibers
Waveguides. Resonant cavities, power loss in a cavity; Q of a cavity.
Earth and ionosphere as a resonant cavity: Schumann resonances.
Optical fibers and their applications.
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Diffraction
Geometrical optics.
Gaussian optics and laser resonators. (Includes the introduction on how the lasers work).
Scalar diffraction theory. Fraunhofer diffraction. Fresnel diffraction.
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Radiation by relativistic particles
Lienard-Wiechert fields. Multipole radiation.
Bremsstrahlung.
Thomson scattering.
Synchrotron radiation and undulator radiation.
Coherent emission from multiple particles.
Cherenkov radiation.
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Fundamental particles in classical electrodynamics