Course Identification
Free space and guided wave optics
Lecturers and Teaching Assistants
Prof. Ulf Leonhardt
Course Schedule and Location
Second Semester
Sunday, 11:15 - 13:00
Monday, 11:15 - 13:00
04/04/2021
Field of Study, Course Type and Credit Points
Physical Sciences: Lecture; Elective; Regular; 4.00 points
Chemical Sciences: Lecture; Elective; Regular; 4.00 points
Chemical Sciences (Materials Science Track): Lecture; Elective; Regular; 4.00 points
Attendance and participation
Estimated Weekly Independent Workload (in hours)
Syllabus
Syllabus
- Geometrical optics: Fermat's principle, refraction, transformation optics, Hamilton's equations, ABCD matrices, simple optical instruments.
- Waves: interference and reflection. Fresnel coefficients, transfer matrix, scattering matrix, Bragg reflector, Fabry-Perot interferometer.
- Polarisation: plane electromagnetic waves, Jones vector and Poincare sphere, reflection and refraction at interface, Brewster angle, birefringence.
- Fourier optics: scalar diffraction, optical Schroedinger equation, Fresnel and Fraunhoffer regime, Wigner function, Gaussian beams, nondiffracting beams, accelerating beams.
- Applications of Fourier optics: diffraction theory of the lens, resolution limit, microscopy. spatial and spectral filtering, gratings.
- Wave guides: slab waveguide, effective index profile, Silicon photonics, ring resonators, GRIN devices, transformation optics on chip.
- Fibers: analogy to waveguides, dispersion, single-mode/multi-mode fibers, photonic-crystal fibers.
Learning Outcomes
Upon successful completion of this course students should be able to:
- Demonstrate good proficiency in topics in linear and Fourier optics.
- Continue with further advanced studies of various topics in atomic, molecular and optical physics.
- Design and understand the design of basic optical instruments.
Reading List
1. M. Born & E. Wolf, "Principles of Optics".
2. J.W. Goodman, "Introduction to Fourier Optics".
3. G. P. Agrawal, "Fiber Optic Communication Systems".