2. Chapter 15 Wave motion http://www.youtube.com/watch?v=M- VgW4Knb5s&feature=PlayList&p=77775DAE3511828 5&index=18

3. Introduction Our approach Build upon understanding of oscillation Consider succinctly wave motion Look at energy transfer by waves Look at both the mathematical representation of waves and the wave equation

4. Introduction (cont’d.) Focus on wave phenomena, including –Superposition –Reflection and transmission –Interference –Wave packets –Standing waves & Resonance –Refraction & Diffraction With more phenomena to follow through the rest of the term

5. Characteristics of wave motion Connection between waves & oscillations –What are the connections? Focus on periodic waves –Why? Characteristics of periodic waves –Question: What are they?

6. Types of Waves Transverse –Definition –Speed Longitudinal –Definition –Speed Waves neither purely the above Examples http://www.kettering.edu/~drussell/Demos/waves/wavemotion.html http://www.kettering.edu/~drussell/Demos/waves/wavemotion.html

7. Energy Transported by Waves Derivation –Diagram –Assumptions (E, ω, m) –Result Intensity –Definition –Examples

8. Mathematical Representation of a Traveling Wave Displacement formula –Terms in the formula –Meaning of the terms and formula –Graphical representation in x and t –Exercise (Physlet E17.2) A solution to the wave equation –The wave equation –What does it mean to have a solution

9. Principle of Superposition Definition –Examples (Physlets I17.3, I17.4, E17.1) –http://www.kettering.edu/~drussell/Demos/superposition/superpo sition.htmlhttp://www.kettering.edu/~drussell/Demos/superposition/superpo sition.html Fourier analysis & synthesis Examples http://math.fullerton.edu/mathews/a2001/Animations/Interpolation/Fo urierSeries/FourierFFT/Series.html http://math.fullerton.edu/mathews/a2001/Animations/Interpolation/Fo urierSeries/FourierFFT/Series.html

10. Reflection & Transmission Occurrence in general Boundary condition framework http://phet.colorado.edu/simulations/sims.php?sim=Wave_on_a_String Demonstration (wave machine) The case of light and heavy cords http://www.kettering.edu/~drussell/Demos/reflect/reflect.html http://www.kettering.edu/~drussell/Demos/reflect/reflect.html In two dimensions http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=16 http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=16

11. Interference Constructive & Destructive More later with sound and light

12. Wave packets Description –Dispersion and other phenomena Group and phase velocity Examples http://www.csupomona.edu/~ajm/materials/animations/packets.html http://www.csupomona.edu/~ajm/materials/animations/packets.html

13. Standing Waves Formation of standing waves http://www.kettering.edu/~drussell/Demos/superposition/superpositi on.html http://www.kettering.edu/~drussell/Demos/superposition/superpositi on.html –Nodes and anti-nodes –Boundary conditions –Examples (Physlets I17.4) Demonstration (wave machine)

14. Resonance Natural (resonant) frequencies http://www.youtube.com/watch?v=3mclp9QmCGs http://www.youtube.com/watch?v=3mclp9QmCGs Example: Waves on string (Physlet I17.5) Pictorial representation Language: fundamental, overtones, harmonics Lab: Determine the harmonics excited in the class demonstration

15. Refraction & Diffraction Definitions of each Refraction examples –ocean waves –http://www.phy.ntnu.edu.tw/java/propagation/propagation.htmlhttp://www.phy.ntnu.edu.tw/java/propagation/propagation.html –http://www.kettering.edu/~drussell/Demos/refract/refract.htmlhttp://www.kettering.edu/~drussell/Demos/refract/refract.html Diffraction examples http://www.ngsir.netfirms.com/applets/diffraction/2X/Diffraction.htm More later

16. the end