COURSE GOALS: Course goals are to acquire theoretical and experimental knowledge of the basics in physics of oscillations and waves, gaining operational knowledge of the methods for solving numerical problems in physics of oscillations and waves, and achieving skills of reducing the real problems in physics of oscillations and waves to a physical model, with setting up the appropriate equations.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. KNOWLEDGE AND UNDERSTANDING
1.1 formulate and interpret the basic laws of physics including mechanics, electromagnetism and thermodynamics
2. APPLYING KNOWLEDGE AND UNDERSTANDING
2.1 develop a way of thinking that allows the student to set the model or to recognize and use the existing models in the search for solutions to specific physical and analog problems
2.2 recognize analogies in the situations that are physically different, as well as in the situations analogous to the physical ones, as well as applying known solutions when solving new problems
5. LEARNING SKILLS
5.1 consult professional literature independently as well as other relevant sources of information, which implies a good knowledge of English as a language of professional communication
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
Upon passing the course on General Physics 3, the student will be able to:
- develop a simple physical model applicable to solving a given problem in physics of oscillations and waves;
- set mathematical formulation of a given physical model in physics of oscillations and waves;
- solve numerical tasks for known systems in physics of oscillations and waves;
- qualitatively and quantitatively describe damped and forced harmonic oscillations;
- demonstrate knowledge of basic concepts of emergence and spread of waves, including dispersive relation;
- demonstrate knowledge of the phenomena of reflection, transmission and interference of waves;
- demonstrate knowledge and operational use of the basic concepts of geometric and physical optics.
COURSE DESCRIPTION:
Lectures per weeks (15 weeks in total):
Week 1: Simple harmonic oscillator. Examples. Free oscillations of a single body in complex systems.
Week 2: Free oscillations in a system with two or more bodies. Longitudinal and transverse oscillations. Approximation of the continuum.
Week 3: The linearity of differential equations and the principle of superposition. Amplitude modulation. Beats.
Week 4: Forced Oscillations of mechanical systems. Damped harmonic oscillator.
Week 5: Impedance of harmonic oscillator. Absorption and dispersion amplitude. Description of oscillations with a method of complex numbers.
Week 6: Forced oscillations of systems with two or more particles. The coupling of an external force and the system. Mechanical filters. Forced oscillations of continuum.
Week 7: The waves in one dimension: their emergence and spread. The wave function as a solution of the wave equation. Dispersion relations. Phase velocity. Wave in the continuum.
Week 8: The impedance of the wave medium. Power transmission with waves. Reflection and transmission of waves. Standing waves. The superposition of waves and group velocity.
Week 9: Frequency spectrum. Wave package. Oscillations and waves in three dimensions. Polarization of waves. Plane waves. Interference.
Week 10: Acoustics. Sound like a plane wave in the gas. The noise level. Doppler effect.
Week 11: Oscillations and waves in the electrical system. The impedance of the electrical system. Transmission lines.
Week 12: Electromagnetic waves. Electromagnetic Spectrum. The intensity and pressure of electromagnetic radiation. The relativistic Doppler effect.
Week 13: The light in the dielectric. Approximation of the laws of geometrical optics.
Week 14: The construction of image in geometrical optics. The eye and optical devices.
Week 15: Interference of light. Diffraction of light.
Exercises follow lectures by content:
Week 1: Simple harmonic oscillator.
Week 2: Free oscillations of a single body in complex systems.
Week 3: Free oscillations in a system with two or more bodies. Amplitude modulation. Beats.
Week 4: Forced Oscillations of mechanical systems.
Week 5: Damped harmonic oscillator.
Week 6: Description of oscillations with a method of complex numbers.
Week 7: The waves in one dimension. The wave function and wave equation. Dispersion relations. Phase velocity.
Week 8: Reflection and transmission of waves. Standing waves. The superposition of waves and group velocity.
Week 9: Frequency spectrum. Wave package. Oscillations and waves in three dimensions. Polarization of waves. Plane waves.
Week 10: Interference. Doppler effect.
Week 11: Oscillations and waves in the electrical system. The impedance of the electrical system.
Week 12: Electromagnetic waves. The intensity and pressure of electromagnetic radiation.
Week 13: The relativistic Doppler effect.
Week 14: Geometrical optics.
Week 15: Interference and diffraction of light.
REQUIREMENTS FOR STUDENTS:
Students are required to regularly attend lectures, seminars and exercises, and actively participate in solving problems during exercises. Furthermore, students are required to pass two colloquiums and four tests during the semester, and to achieve at least 33% of the total number of points on them.
GRADING AND ASSESSING THE WORK OF STUDENTS:
The final exam consists of written and oral examinations, final score is the average value of grades obtained on each of them. Additional points can be achieved by successful solving homework assignments and prize tasks. Written exam can be replaced by a successful solving of two colloquiums.
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