FPF:UFTFA64 Optical phenomena in the field - Course Information
UFTFA64 Optical phenomena in the field of compact object
Faculty of Philosophy and Science in OpavaWinter 2021
- 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
- Theoretical Physics (programme FPF, N1701 Fyz)
- 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.
- Null geodesics in curved spacetimes
- 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
- English
- 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 â success rate 75 % or essay on given topic
- Enrolment Statistics (recent)
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