UFTF514 Optical phenomena in the field of compact object

Faculty of Philosophy and Science in Opava
Winter 2018
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jan Schee, Ph.D. (lecturer)
doc. RNDr. Jan Schee, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jan Schee, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites (in Czech)
Předpokladem je úspěšně absolovovaný kurz UF/RFA01, UF/TF006, UF/1U301.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
In this course the optical phenomena like profiled spectral lines, light curves, images of distant sources etc. are discussed in the framework of General theory of Relativity.
Syllabus
  • Null geodesics in curved spacetimes
    Spherically symmetric and axially symmetric metric,
    geodesic equation, geodesic deviation equation, integrals of motion, Carter's equations,
    deflection angle in Schwarzchild field
    Optical quantities: definition and expanation of basic terms
    frequancy shift of radiation,
    intensity of radiation,
    radiation flux, focusing
    Optical effects : definition and modeling
    light escape cone of source, silhouette of compact object ,
    light curve of point source in the field of compact object,
    profiled spectral lines of thin ring and disc, caustic
    Radiation transfer in medium : equation of radiative transfer,
    Image of thin Keplerian ring : algorithm of thin ring image construction
    Image of thick disk : algorithm of thick disk image construction
    Numerical solution of equations of motion:
    solving polynomiand and transcendent equations,
    integration of diferential equations, Runge-Kutha method,
    enumeration of integrals, Rommberg's method, Gauss quadrature,
    usage of GSL(GNU Scientific Library) , use of Mathematica and Maxima programs for optical phenomena study.
Literature
    recommended literature
  • J. Schee a Z. Stuchlík. Profiles of emission lines generated by rings orbiting braneworld Kerr black holes. Gen. Rel. and Grav, 41, 8, pp. 1795-1818, 2009. info
  • M. Dovčiak. Radiation of accretion discs in strong gravity. arXiv:astro-ph/0411605, 2004. info
  • P. Schneider, J. Ehlers and E. E. Falco. Gravitational lenses. Springer, 1999. info
  • Z. Stuchlík and G. Bao. Radiation from hot spots orbiting an extreme Reissner-Nordström black hole. Gen. Rel. and Grav., 24, 9, pp. 945-957, 1992. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
written test in the extent of the given literature and the content of
seminars †success rate 75 % or essay on given topic
The course is also listed under the following terms Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2019, Winter 2020, Winter 2021, Winter 2022, Winter 2023.
  • Enrolment Statistics (Winter 2018, recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2018/UFTF514