| Description |
1 online resource (653 pages) |
| Contents |
Cover; Half Title page; Title page; Copyright page; Dedication; Preface; Chapter 1: Classical Perspective; 1.1 Importance of the Harmonic Oscillator; 1.2 Newtonian Perspective; 1.3 Restoring Force; 1.4 Free Harmonic Oscillator; 1.5 LC Resonator; 1.6 Journey Through the Center of the Earth; 1.7 Low Satellite Orbit; 1.8 FREE-OSC, Free Oscillator Worksheet; 1.9 Phase Space, Part 1; 1.10 PHASE-SP, Phase Space Worksheet; 1.11 Callisto, Galileo, and French; 1.12 Searching for Planets; 1.13 Franklin, Priestly, Verne, and Burroughs; What's Next?; Chapter 2: Oscillator Energy; 2.1 Conservative Forces |
|
2.2 Potential Energy2.3 Kinetic Energy; 2.4 Conservation of Energy; 2.5 Phase Space, Part 2; 2.6 Energy Diagrams; 2.7 Equipartition of Energy; 2.8 General Potential Energy Function; 2.9 Perturbed Satellite Orbit; 2.10 High Power-Law Oscillators; 2.11 Adiabatic Invariance; 2.12 UNDAMPED, Free Oscillator Energy Worksheet; 2.13 Bungee Jumpers Beware; 2.14 Summary; Chapter 3: Damped Oscillators; 3.1 Velocity-Dependent Resistive Force; 3.2 FORCE-RV, Resistive Force Worksheet; 3.3 Restoring Force and Resistive Force; 3.4 Under-Damped Oscillator; 3.5 Critically Damped Oscillator |
|
3.6 Over-Damped Oscillator3.7 Summary of Free, Damped Oscillators; What's Next?; Chapter 4: Forced Oscillators; 4.1 Forced Free Mass; 4.2 Forced Damped Mass; 4.3 General Solution for Forced Damped Mass; 4.4 Power Transfer; 4.5 Forced Damped Oscillator; 4.6 Permittivity for Bound Charges; 4.7 FORCEOSC, Forced Oscillator Worksheet; 4.8 Summary; What's Next?; Chapter 5: Q, R, X, Y, and Z; 5.1 What Is Q?; 5.2 Frequency Domain; 5.3 Time Domain; 5.4 Q of Various Oscillators; 5.6 Resonant Detection, Mössbauer Effect; 5.7 Q Multipliers and Dividers; 5.8 Q Switches |
|
5.9 Classical Uncertainty Principle, Part 15.10 ABC-OF-Q, Worksheet in Time and Frequency; 5.11 Impedance and Admittance; 5.12 Impedance and Admittance: Damped Mass; 5.13 Impedance and Admittance: Harmonic Oscillator; 5.14 Y-AND-Z, Admittance and Impedance Worksheet; 5.15 How Henry Cavendish Weighed Planet Earth; What's Next?; Chapter 6: Fourier Perspective; 6.1 Signal Classification; 6.2 Periodic Signals; 6.3 Oscillator with Periodic Force; 6.4 Bandwidth and Spectral Density; 6.5 Laplace's Equation; 6.6 Non-Periodic Signals; 6.7 Classical Uncertainty Principle, Part 2 |
|
6.8 Alternative Formats6.9 Laplace Transform; 6.10 Hilbert Transform; 6.11 Parseval's Theorem; 6.12 Joint Time-Frequency Analysis; 6.13 Inductive Leap; What's Next?; Chapter 7: Elements of Linear Systems; 7.1 What Is a Linear System?; 7.2 Ode to the Sinusoid; 7.3 Fast Fourier Transform; 7.4 Test Signals; 7.5 Step Function Response; 7.6 Impulse Response; 7.7 Frequency Domain Response Using Phasors; 7.8 Impulse Response and Causality; 7.9 System Function via Fourier Transform; 7.10 Impulse Response via Fourier Transform; 7.11 Convolution; 7.12 Power Spectral Density |
| Summary |
From conch shells to lasers . harmonic oscillators, the timeless scientific phenomenon As intriguing to Galileo as they are to scientists today, harmonic oscillators have provided a simple and compelling paradigm for understanding the complexities that underlie some of nature's and mankind's most fascinating creations. From early string and wind instruments fashioned from bows and seashells to the intense precision of lasers, harmonic oscillators have existed in various forms, as objects of beauty and scientific use. And harmonic oscillation has endured as one of science's most fascinating con |
| Notes |
7.13 Wiener-Khintchine Theorem |
|
Print version record |
| Subject |
Electromagnetism.
|
|
Harmonic oscillators.
|
|
Science.
|
|
electromagnetism.
|
|
sciences (philosophy)
|
|
science (modern discipline)
|
|
Electromagnetism
|
|
Harmonic oscillators
|
|
Science
|
| Form |
Electronic book
|
| ISBN |
9781118710821 |
|
1118710827 |
|
9780471147442 |
|
0471147443 |
|
