This
note covers the following topics: introduction to vibrations and waves: simple
harmonic motion, harmonically driven damped harmonic oscillator, coupled
oscillators, driven coupled oscillators, the wave equation, solutions to the
wave equation, boundary conditions applied to pulses and waves, wave equation
in 2D and 3D, time-independent fourier analysis, fourier analysis with
traveling waves, dispersion, electromagnetic wave equation, plane polarized EM
waves, dipole radiation, EM waves meet conductors, transmission lines , EM
waves meet dielectrics, interference, interference from multiple sources,
diffraction, diffraction + interference, diffraction gratings.
Author(s):Prof.
Nergis Mavalvala and Prof. Thomas Greytak
This note explains the following topics: Modeling, Linearization,
Free Undamped Vibration, Measurement and Design Consideration, Forced Undamped
Vibration, Force Damped Vibration, Free Undamped Vibration, Response to Free
Undamped Vibration, Design for Vibration Suppression or Absorbers, Vibration
Testing.
Author(s): Dr Nopdanai Ajavakom and Dr Chanat
Ratanasumawong
The
book is targeted at the first year undergraduate science and engineering
students. Starting with oscillations in general, the book moves to interference
and diffraction phenomena of waves and concludes with elementary applications of Schr¨odinger’s wave equation in quantum mechanics. Topics covered includes:
Oscillations, The Damped Oscillator, Oscillator with external forcing,
Resonance, Coupled Oscillators, Sinusoidal Waves, Electromagnetic Waves, The
Spectrum of Electromagnetic Radiation, Interference, Coherence, X-ray
Diffraction, Polarization, Wave-particle duality and Quantum Mechanics.
Author(s): Somnath Bharadwaj and S. Pratik Khastgir
The aim of this
textbook is to develop a unified mathematical theory of oscillations and waves.
Examples are drawn from the physics of discrete mechanical systems; continuous
gases, fluids, and elastic solids; electronic circuits; electromagnetic waves;
optical systems; and, finally, quantum mechanical systems.
This
note covers the following topics: introduction to vibrations and waves: simple
harmonic motion, harmonically driven damped harmonic oscillator, coupled
oscillators, driven coupled oscillators, the wave equation, solutions to the
wave equation, boundary conditions applied to pulses and waves, wave equation
in 2D and 3D, time-independent fourier analysis, fourier analysis with
traveling waves, dispersion, electromagnetic wave equation, plane polarized EM
waves, dipole radiation, EM waves meet conductors, transmission lines , EM
waves meet dielectrics, interference, interference from multiple sources,
diffraction, diffraction + interference, diffraction gratings.
Author(s): Prof.
Nergis Mavalvala and Prof. Thomas Greytak