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Waves and Optics by Paul Padley - HTML preview
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Waves and Optics
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Waves and Optics
Table of Contents
Chapter
1
.
Oscillations in Mechanical Systems
1.1
.
Simple Harmonic Oscillator
The Simple Harmonic Oscillator
Simple Harmonic Motion
1.2
.
Simple and Compound Pendula
The Simple Pendulum
The Compound Pendulum
1.3
.
Adding Harmonic Motions
Same Frequency, different phase
Different Frequency
1.4
.
Energy in the Simple Harmonic Oscillator
Energy in SHO
1.5
.
Damped Oscillations
Damped Oscillations
1.6
.
The Driven Oscillator
Chapter
2
.
Partial Derivatives
2.1
.
Partial Derivatives
Chapter
3
.
Mechanical Waves
3.1
.
Vibrations on a String
Vibrations on a String
Normal Modes on a String
3.2
.
Waves
Waves
The Wave Equation
Waves Add
General Form
The velocity of a Wave
Wavelength, Wavenumber etc.
Normal Modes on a String as an Example of Wave Addition
3.3
.
Superposition of Mechanical Waves
Superposition
Phase and Group Velocities
3.4
.
Energy in a mechanical wave
Energy Transport
3.5
.
Reflection and Transmission of Mechanical Waves
Reflection and Transmission
3.6
.
Fourier Series
Fourier Analysis
Fourier Series
More General Case
Fourier Integral Theorem
Closing word
Chapter
4
.
Div, Grad, Curl
4.1
.
Scalar Field
Scalar Fields
4.2
.
Vector Fields
Vector Fields
4.3
.
Vector Multiplication Reminder
4.4
.
Divergence, Gradient, and Curl
Divergence, Gradient and Curl
4.5
.
Gauss' Theorem
Gauss' Theorem
4.6
.
Stokes' Theorem
Stokes' theorem
Chapter
5
.
Electromagnetism Review
5.1
.
Gauss' Law
Gauss' Law
Gauss' Law for Magnetism
5.2
.
Faraday's Law
Faraday's Law
5.3
.
Ampere's Law
Ampere's Law (with displacement current)
Maxwell's equations
Chapter
6
.
Electromagnetic Waves
6.1
.
The Electromagnetic Wave Equation
The E&M Wave Equation
6.2
.
Plane Waves
Plane Waves
6.3
.
Spherical Waves
Spherical Waves
6.4
.
Transverse Waves
Transverse Waves
6.5
.
Energy Density of an Electromagnetic Wave
Energy Density
6.6
.
Electromagnetic Wave Review
Review
6.7
.
Poynting Vector
Poynting Vector
6.8
.
Irradiance and Radiation Pressure
Irradiance
Momentum and Radiation Pressure
Radiation
Chapter
7
.
Optics
7.1
.
The Huygens-Fresnel Principle
The Huygens-Fresnel Principle
7.2
.
Fermat's Principle of Least Time
Fermat's principle of least time
7.3
.
Electromagnetism at an Interface
EM at an interface
7.4
.
Snell's Law
Snell's Law
Digression, further justifying the above
7.5
.
The Fresnel Equations
The Fresnel Equations
7.6
.
Some Consequences of the Fresnel Equations
The Fresnel Equations
Why Polaroid sunglasses work
Other cases
7.7
.
Evanescent Wave
7.8
.
Phase Changes
7.9
.
Reflectance and Transmittance
Reflectance and Transmittance
7.10
.
Polarization
Polarization
Natural light
Malus' Law
Chapter
8
.
Geometric Optics
8.1
.
Refraction at a Spherical Interface
8.2
.
Thin Lens
8.3
.
Mirrors
8.4
.
Eyeglasses
Chapter
9
.
Interference
9.1
.
Two Source Interference
Interference
Waves on a pond:
Two Point Sources
Young's Double Slit
Michelson Interferometer
Ring Gyroscope
9.2
.
Thin Film Interference
Interference
Thin Films
9.3
.
Double Plate Interference
Double Plate Interference
9.4
.
Newton's Rings
Newton's Rings
9.5
.
Multi Source Inteference
N-Source Interference
Chapter
10
.
Diffraction
10.1
.
Single Slit Diffraction
Diffraction
Single Slit Diffraction
10.2
.
Double Slit Diffraction
Two Slit Diffraction
10.3
.
Diffraction Grating
Diffraction Grating
10.4
.
Diffraction from a Rectangular Aperture
10.5
.
Babinet's Principle
Babinet's Principle
10.6
.
Diffraction from a Circular Aperture
Circular Aperture
10.7
.
Diffraction from an Array of Apertures
An array of rectangular apertures
Chapter
11
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