Electromagnetism and Optics (PHYC20011)

This subject extends knowledge of the fundamental principles of electromagnetism, introducing Maxwell’s equations in differential form, and key topics in optics. Electromagnetism topics include the electric field (e.g. Gauss’s law in integral and differential form, scalar potential and gradient, Poisson and Laplace equations), the magnetic field (e.g. Ampere’s law in integral and differential forms), Maxwell’s equations in vacuum (integral and differential forms), Maxwell’s equations in matter (polarization, electric displacement, magnetic vector potential), time-varying electric and magnetic fields (Maxwell’s equations in general form, wave equations for E and B, plane electromagnetic wave, Poynting vector). Optics topics include an introduction to Fourier optics, Fourier transforms in 1 and 2D, Dirac delta function and comb, discrete Fourier transforms and the sampling theorem, convolution, cross and autocorrelation. Fresnel and Fraunhofer diffraction are treated explicitly and a description of polarized light with methods of producing and controlling polarisation.