Course Identification

Syllabus

1. Geometrical optics: Fermat's principle, refraction, transformation optics, Hamilton's equations, ABCD matrices, simple optical instruments.
2. Waves: interference and reflection. Fresnel coefficients, transfer matrix, scattering matrix, Bragg reflector, Fabry-Perot interferometer.
3. Polarisation: plane electromagnetic waves, Jones vector and Poincare sphere, reflection and refraction at interface, Brewster angle, birefringence. 
4. Fourier optics: scalar diffraction, optical Schroedinger equation, Fresnel and Fraunhoffer regime, Wigner function, Gaussian beams, nondiffracting beams, accelerating beams.
5. Applications of Fourier optics: diffraction theory of the lens, resolution limit, microscopy. spatial and spectral filtering, gratings.
6. Wave guides: slab waveguide, effective index profile, Silicon photonics, ring resonators, GRIN devices, transformation optics on chip. 
7. Fibers: analogy to waveguides, dispersion, single-mode/multi-mode fibers, photonic-crystal fibers.

Upon successful completion of this course students should be able to:

1. Demonstrate good proficiency in topics in linear and Fourier optics.
2. Continue with further advanced studies of various topics in atomic, molecular and optical physics.
3. Design and understand the design of basic optical instruments.

1. M. Born & E. Wolf, "Principles of Optics".
2. J.W. Goodman, "Introduction to Fourier Optics".
3. G. P. Agrawal, "Fiber Optic Communication Systems".