Individual
course details |
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Study
programme |
Theoretical
and experimental physics; Applied physics |
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Chosen research area (module) |
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Nature and level of studies |
Undergraduate
studies |
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Name
of the course |
Waves
and optics |
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Professor (lectures) |
Assoc.
Prof. Dr Đorđe Spasojević |
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Professor/associate
(examples/practical) |
Ass.
Prof. Dr Savo Galijaš |
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Professor/associate (additional) |
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ECTS |
9 |
Status
(required/elective) |
Mandatory |
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Access requirements |
Physical
mechanics, Molecular physics and thermodynamics, Mathematics 1 and 2 |
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Aims of the course |
Adoption
of fundamental concepts and laws in the field of waves and optics, and
familiarization with more complex phenomena |
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Learning outcomes |
Students
are trained to independently solve basic problems and gain new knowledge
about more complex physical phenomena and laws in the field of waves and
optics |
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Contents of the course |
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Lectures |
1.
Free, damped, and forced oscillations of systems with one degree of freedom;
resonance. 2. Oscillations of systems with two degrees of freedom; normal
modes; resonance; filters; limit to continuous systems. 3. Wave equation in
one dimension; transversal oscillations of a wire; standing waves; Fourier
analysis. 4. Wave equation in three dimensions; phase velocity; progressive
waves; plane waves and plane monochromatic waves. 5. Sound waves; energy and
intensity of a sound wave; dispersion relation; group velocity. 6. Maxwell’s
equations; electromagnetic waves in vacuum and in non-conducting media;
energy of electromagnetic waves (Poynting vector and wave intensity); electromagnetic spectrum.
7. Sources of electromagnetic waves; radiation of an accelerated charge;
Larmor’s formula; Hertz experiment. 8. Geometric optics; eikonal
approximation; Fermat’s principle; law of reflection and law of refraction;
total reflection; lenses and mirrors. 9. Matrix methods in paraxial
approximation (formation of image, cardinal elements, thin and thick lenses,
and optical systems); optical instruments; lens imperfections. 10.
Polarization of light (basic types; partial polarization). 11.
Electromagnetic wave at the boundary between two optical media – reflection
and refraction; amplitudes and phases of reflected wave and of refracted
wave. 12. Superposition of waves; interference of waves; amplitude splitting
and wave front splitting; space and time coherence; Young’s experiment;
Fresnel’s biprism; Michelson’s interferometer; interference in a slab;
Fabry-Perot interferometer. 13. Diffraction of waves (N coherent point
sources, thread source); Kirchhoff’s formula and Huygens-Fresnel principle;
Fresnel zones; diffraction at a circular aperture. 14. Fraunhofer’s diffraction at a single slit; diffraction
grating. 15. Double refraction of light; polarizers; dichroism; optical
activity; Faraday’s and Kerr’s effect. |
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Examples/ practical classes |
Examples;
exercises (homework) |
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Recommended books |
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1 |
F.S.
Crawford, Waves - Berkeley Physics Course - volume 3, McGraw-Hill |
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2 |
А.А.
Matveev, Optics, Mir publishers, Moscow |
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3 |
E.
Hecht, Optics, Addison Wesley |
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4 |
N.N.
Nedeljković, Talasi i optika, skripta (PDF) |
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Number of classes (weekly) |
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Lectures |
Examples&practicals |
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Student
project |
Additional |
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4 |
3 |
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Teaching and learning methods |
Lectures
(theory and examples), exercises (homework), consultations. |
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Assessment (maximal 100) |
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assesed coursework |
mark |
examination |
mark |
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coursework |
10 |
written
examination |
30 |
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practicals |
10 |
oral
examination |
40 |
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papers |
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presentations |
10 |
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