8.03SC | Fall 2016 | Undergraduate

Physics III: Vibrations and Waves

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Exam Information

Exam two covers Lectures 9 through 16.

What You Should Know:

  • How to use infinite system to solve finite system
  • Continues limit: Wave equations!
  • Solutions to wave equations: Normal modes (Progressing wave solutions standing waves)
  • Matching the boundary of two systems: Reflection and transmission
  • Longitudinal waves: Spring waves and sound waves
  • EM waves: How to calculate electric field and magnetic field from one another, standing EM waves, energy density and Poynting vector
  • Dispersive medium: Dispersive relation, Fourier transform, AM radio and Uncertainty Principle
  • 2D and 3D waves: Normal modes, Snell’s Law

Practice Exam

Exam 2 Formula Sheet (PDF - 1.2MB)
Practice Exam 2 (PDF)

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Lecture Topics

  • Polarizer
  • Linearly polarized waves
  • Circularly polarized wave
  • Elliptically polarized waves
  • Unpolarized light

Lecture Video: Polarization, Polarizer

Prof. Lee discusses the concept of linearly, circularly and elliptical polarized waves. He focuses on the mathematical description of polarized waves. He also shows the way to produce polarized light using a polarizer in class.

Lecture Notes

Typed Notes for Lecture 17 (PDF - 1.2MB)

Handwritten Notes for Lecture 17 (PDF - 2MB)

Textbook Reading

Chapter 11: Two and Three Dimensions (PDF - 1.8MB) 

Chapter 12: Polarization (PDF - 1.4MB) (through section 12.3) 

In-class Demonstrations

SEE IT IN THE LECTURE
Total Internal Reflection
Fiber Optic Bundle
Polarization of Microwaves

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Lecture Topics

  • Wave plates
  • Quarter wave plate
  • Radiation
  • Oscillating charge
  • Dipole radiation

Lecture Video: Wave Plates, Radiation

How do we generate electromagnetic waves? Prof. Lee discusses the answer to this equation in class and shows an accelerated charge could lead to radiation which could propagate to the edge of the universe.

Lecture Notes

Typed Notes for Lecture 18 (PDF - 2.2MB)

Handwritten Notes for Lecture 18 (PDF - 2.2MB)

Textbook Reading

Chapter 12: Polarization (PDF - 1.4MB) (section 12.4 to end) 

In-class Demonstrations

SEE IT IN THE LECTURE
Polarizing Filters and Light and Polarizing Filters and Light
Polarization in a Sugar Solution
Polarization of Radio Waves (Dipole Antenna) and Polarization of Radio Waves (Dipole Antenna)

Video: Radiating Charge from PhET Interactive Simulations project at the University of Colorado Boulder

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Lecture Topics

  • Waves in medium
  • Refraction index
  • Brewster’s angle

Lecture Video: Waves in Medium

Prof. Lee discusses the propagation of light in the dielectric medium. He also shows an interesting phenomenon, the Brewster’s angle, and demonstrates the effect in the class.

Lecture Notes

Typed Notes for Lecture 19 (PDF)

Handwritten Notes for Lecture 19 (PDF - 1.9MB)

Textbook Reading

Chapter 12: Polarization (PDF - 1.4MB) (section 12.4 to end) 

Problem Set

Problem Set 9 (PDF)

In-class Demonstrations

SEE IT IN THE LECTURE
Brewster’s Angle and Brewster’s Angle

Video: Polarization of Light by uclaphysicsvideo on YouTube

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Lecture Topics

  • Soap bubble
  • Interference

Lecture Video: Interference, Soap Bubble

The phenomena related to interference are discussed in this lecture. Prof. Lee explains the origin of the color on soap bubbles and performs an estimation on the thickness of a soap bubble.

Lecture Notes

Typed Notes for Lecture 20 (PDF)

Handwritten Notes for Lecture 20 (PDF - 1.6MB)

Textbook Reading

Chapter 13: Interference and Diffraction (PDF - 1.6MB)

Notes:

  • Section 13.4.1 The Single Slit is important for this course
  • Section 13.4.2 Near-field Diffraction is not covered, but interesting
  • Section 13.4.4. δ “Functions” is not covered in this course

Problem Set

Problem Set 10 (PDF)

Problem Solving Help Video*

Accelerated Charges Radiating Electromagnetic Waves

Interference of Electromagnetic Waves

In-class Demonstrations

SEE IT IN THE LECTURE
Reflection off Soap Bubbles
Reflection off a Soap Film and Reflection off a Soap Film

Video: A Soap Film by Kevin Osborn on YouTube

Video: Double Slit Experiment by Veritasium on YouTube

Webpage: Double-slit Experiment from Hitachi Group

* Note: These Problem Solving Help video was originally produced as part of a physics course that is no longer available on OCW.

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Lecture Topics

  • Phased radar
  • Single electron interference
  • Interference
  • Huygens Principle

Lecture Video: Phased Radar, Single Electron Interference

Prof. Lee explains how phased radar works. He also discusses the implication of the single electron interference experiment and its relation to Quantum Physics.

Lecture Notes

Typed Notes for Lecture 21 (PDF - 3.2MB)

Handwritten Notes for Lecture 21 (PDF - 1.8MB)

Textbook Reading

Chapter 13: Interference and Diffraction (PDF - 1.6MB) 

Notes:

  • Section 13.4.1 The Single Slit is important for this course
  • Section 13.4.2 Near-field Diffraction is not covered, but interesting
  • Section 13.4.4. δ “Functions” is not covered in this course

In-class Demonstrations

SEE IT IN THE LECTURE
Ripple Tank (Interference of Two Point Sources)
Moiré Pattern
Single-Slit Diffraction with a Laser and Single-Slit Diffraction with a Laser

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Lecture Topics

  • Huygens Principle
  • Diffraction
  • Resolution of a telescope

Lecture Video: Diffraction, Resolution

The phenomena related to diffraction are the focus of the lecture. Prof. Lee explains the mathematical description of the diffraction pattern of the wave traveling through a wide slit.

Lecture Notes

Typed Notes for Lecture 22 (PDF)

Handwritten Notes for Lecture 22 (PDF - 2MB)

Textbook Reading

Chapter 13: Interference and Diffraction (PDF - 1.6MB) 

Notes:

  • Section 13.4.1 The Single Slit is important for this course
  • Section 13.4.2 Near-field Diffraction is not covered, but interesting
  • Section 13.4.4. δ “Functions” is not covered in this course

In-class Demonstrations

SEE IT IN THE LECTURE
Single-Slit Diffraction with a Laser

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Lecture Topics

  • Quantum waves
  • Detection of gravitational waves
  • Interferometer
  • LIGO experiment

Lecture Video: Quantum Waves and Gravitational Waves

Prof. Lee makes the connection between what we have learned so far and Quantum Mechanics. He also explains the detection of the gravitational waves by LIGO using the knowledge learned in the previous lectures.

Lecture Notes

Typed Notes for Lecture 23 (PDF - 1.2MB)

Handwritten Notes for Lecture 23 (PDF - 4.6MB)

Textbook Reading

No readings

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Lecture Topics

Final exam covers Lectures 1 through 23

Lecture Video: Review for Final Exam

This class session is devoted to a review of the entire course in anticipation of the final exam.

Lecture Notes

No lecture notes

Textbook Reading

No readings

Note on Huygen’s Principal (PDF) from Stanford University

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Course Info

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Fall 2016
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