About the course - General
General
Topics
Topics
- Free oscillations of simple systems (including linearity and superposition principle)
- Free oscillations of systems with many degrees of freedom (including vibrations of a string and Fourier analysis)
- Forced oscillations, resonance
- Travelling waves (including discussion of phase velocity, dispersion relations and impedance)
- Reflection and transmission
- Modulations, pulses, and wave packets (including group velocity, pulses, Fourier analysis of wave packets)
- Waves in two and three dimensions
- Polarizations
- Interference and diffraction (including Huygens' Principle, Fresnel and Fraunhofer diffraction, geometrical optics)
Topics
- Free oscillations of simple systems (including linearity and superposition principle)
Textbooks
Lecture, Tutorial and Office Hours
Lecture, Tutorial and Office Hours
Office hours
Name Day Hours Building/Room E-mail Prof. Oleg Krichevsky By appointment - 54/006 okrichev@gmail.com Alexander Elikashvili Wednesday 17:00 - 19:00 ZOOM elikashv@post.bgu.ac.il Lecture/Tutorial
Group What? Name Day Hours Building/Room 1 Lecture Prof. Oleg Krichevsky Sunday 11:00-14:00 28/102 11 TA Alexander Elikashvili Wednesday 10:00-12:00 34/209 12 TA Alexander Elikashvili Wednesday 12:00-14:00 34/209 Lecture, Tutorial and Office Hours
Class Exercises
Homework Exercises
Homework Exercises
Homework Exercises
Deadline: 06/11/2022
Deadline: 13/11/2022
- Deadline: 20/11/2022
Deadline: 27/11/2022
Deadline: 04/12/2022
Deadline: 12/12/2022
Deadline: 25/12/2022
Deadline: 01/01/2023
Deadline: 12/02/2023
Deadline: 12/02/2023
Deadline: 12/02/2023
Not for submission
Course Policy
Course Policy
Grading
- Homework:
- An exercise would be given weekly.
- All exercises should be submitted electronically, using the submission system on the website.
- Each exercise should be submitted before the deadline and in PDF format only.
- Late or sloppy submissions will not be accepted.
- You must submit at least 10 exercises in order to take the final exam.
- You must show a reasonable attempt at solving each question.
- Exam :
FINAL GRADE = EXAM+(No_Of_Submitted_Exercises - 10).
General
- Email: should only be used for communication on personal matters.
- Physics teaching committee notice
Course Policy
- Homework:
Files
Lecture notes
Lecture notes
Lecture notes
Harmonic oscillator; complex number presentation of the harmonic oscillator dynamics; coupled harmonic oscillators; normal modes; longitudinal and transverse modes.
Simple and coupled oscillators - initial conditions. Beats. Large bead-springs system.
Normal modes of the large bead-spring system; Independence of modes' dynamics; Dispersion equation (dependence of the mode frequency on its wave number); Standing waves; Continuous systems: guitar string and sound in gases.
- Normal modes of continuous classical wave equation; Fourier transform; mathematical orthogonality of the modes; independence of the modes' dynamics; Plucked string dynamics; Music theory; System symmetries and normal modes; Mirror symmetry of two-bead-spring system.
- System symmetries and normal modes: 1) mirror symmetry - 2 bead system, 2) translational symmetry: infinite many bead system; Boundary conditions in finite system; Generalizations of the wave equation: 1) pendulums on springs, 2) electromagnetic waves in plasma/ionosphere, 3) Quantum mechanics, Klein-Gordon and Schrodinger equations.
Driven and Damped systems: 1) harmonic oscillator, 2) coupled oscillators as a filter, 3) large system of coupled oscillators
Forced and damped systems continued; multiple coupled oscillators; dispersive and reactive media; tunnelling; reflection of AM radio waves from ionosphere; Travelling waves; phase velocity; dispersion relations; Electromagnetic waves in material: dispersion.
Origin of dielectric constant dependence on EM wave frequency in materials; dispersion of light in materials; Waves turn to medium with lower phase velocity; Snell law; Total internal reflection; Evanescent wave; Optical fibers; Mirage; Fata Morgana; Sound channel in ocean and in the atmosphere; Rainbow; Impedance; Reflection and transmission at the border of two media.