TFY4200 - Optics, Advanced Course


Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours E

Course content

Core Topics: Polarization and coherence. Dielectric function/tensor-linear optics of solids. Thin film optics. Optics of small particles: Mie theory and plasmonics. Experimental work, modelling and design of spectroscopic, polarimetric and imaging systems.

Selectable module topics: Nonlinear susceptibility and nonlinear Optics and applications of short laser pulses. Vibrational spectroscopy (Raman, FTIR) and Photoluminescence in solids. THz Technology: Instrumentation and applications. Metasurface technology (Fourier Optics and diffractive optics). Computational Electro-Magnetics applications to plasmonics, photonic crystals or MS technology. Wave-optics approach to imaging and aberrations. Optical Periodic multilayers: Photonic crystals/Optical Filters-Bragg filters, modes. Nanomanufacturing in optics (Nanolab). Waveguides and Optical fibers for spectroscopy and sensors. Eye and laser safety. Optics and sustainability. PhotoVoltaics and ThermoPhotovotaics.

Details: The physics of the interaction of light with materials, advanced polarization description of light, classical thin film optics modelling and introduction to Computational Electro-Magnetics (CEM). Overview of linear and non-linear state of the art spectroscopy and imaging methods in material science and bio-optics. Practical hands-on introduction to spectroscopic ellipsometry and modelling of optical properties of complex materials structures (e.g. multilayer stacks such as solar cells, quantum wells, antireflection coatings etc). - Jones formalism and description of fully polarized light, with emphasis on the more general Stokes-Mueller formalism, depolarization and partially polarized light and methods for analysis of the Mueller matrix, and the application to analyzing/designing polarization sensitive spectroscopy and imaging methods, such as e.g. the spectroscopic ellipsometer. - Linear optics, with an introduction to nonlinear optics. Luminescence and fluorescence. The physics behind the dielectric function. Functional properties of solar cells, lasers, LEDs. Quantum mechanical models for optical absorption and the dielectric function. Practical dispersion models for phonons, rotational spectroscopy, free carrier response, and electronic band to band absorption of amorphous and crystalline media. - Temporal and spatial coherence. FTIR and OCT techniques. - Formalism for modelling the optical response from plane isotropic, anisotropic, electro-magnetic, and bi-anisotropic layers: The airy formulas and the 2x2 Abeles transfer matrix theory for isotropic materials, and the 4x4 Berreman transfer matrix theory for anisotropic electro-magnetic and bi-anisotropic materials. Chirality, the Faraday effect and the Kerr effect. Magnetic materials and artificial meta-materials. Optical coatings. Bragg mirrors. Photonic crystals. - Modelling of spherical and spheroidal particles (Mie theory). The quasi-static approximation. - Nano-plasmonics and applications and effective medium theories (electromagnetic mixing theories) in relation to inhomogeneous materials through effective medium theories of granular media (including nanostructures). - Modelling, excitation and applications of Surface Plasmon Polaritons (SPPs) and Localized Surface Plasmon Resonances (LSPR) (including discussion of CEM methods versus quasi-static models). - Meta-materials and a discussion of selected applications. Models for artificial chirality and artificial magnetism. - Periodic structures such as photonic crystals, diffraction gratings, diffractive optics, and metasurfaces. The Rigorous Coupled Wave Analysis method. - Introduction to dielectric waveguides (laboratory). - Introduction to the modelling of random surfaces and surface roughness. - Introduction to the modelling and design of meta-surfaces and applications. - Introduction to non-linear optics and spectroscopy, the nonlinear optical susceptibility tensor, and concepts in advanced imaging using non-linear spectroscopy.

Learning outcome

Solid foundation of classical thin film optics, classical optics of small particles, and solid understanding of linear optical properties of materials in the frequency range THz to photon energies of 25 eV. Introductory notions of concepts of modern electromagnetism applied to metamaterials, metasurfaces and nanoplasmonics. Hands on experience with optical thin film spectroscopy and therein spectroscopic ellipsometry. Notions of non-linear optics and spectroscopy. Develop experimental and digital skills within optics.

Learning methods and activities

Lectures and demonstrations, problem solving and compulsory digital and experimental lab-work. Expected work load in the course is 225 hours.

Compulsory assignments

  • Works
  • Lab Exercise

Further on evaluation

Written exam. Compulsory activities; works and lab exercises.

The course will be given in English if students on the international master program in physics are attending the course. When lectures and lecture material are in English, the exam may be given in English only.

Resit exam (in August) may be changed from written to oral.

Course materials

Lecture notes AND course literature based on e-books available through the NTNU library, and handouts. A special compendium can be ordered on request.

Credit reductions

Course code Reduction From To
SIF4042 7.5
FY8915 7.5 AUTUMN 2017
More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2024

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Optics
  • Physics
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Physics


Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD School exam 100/100 E INSPERA
Room Building Number of candidates
Summer UTS School exam 100/100 E INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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