Transverse waves. Longitudinal waves. Energy and radiation pressure презентация
Содержание
- 2. Lecture 2 Transverse Waves Longitudinal Waves Wave Function Sinusoidal Waves Wave
- 3. Propagation of Disturbance All mechanical waves require (1) some source
- 4. Transverse waves A traveling wave or pulse that causes the
- 5. Longitudinal Waves A traveling wave or pulse that causes the elements
- 6. What Do Waves Transport? The disturbance travels or propagates with a
- 7. Wave Function At t = 0, the shape of the pulse
- 8. The shape of the pulse traveling to the right does not
- 9. Sinusoidal Waves When the wave function is sinusoidal then we have
- 10. The wavelength of a wave is the distance between any
- 11. The frequency of a periodic wave is the number of crests
- 12. Then the wave function takes the form: Then the wave function
- 13. So the wave function is: So the wave function is: Connection
- 14. Wave Speed on String If a string under tension is pulled
- 15. T is the tension in the string T is the tension
- 16. Rate of Energy Transfer by Sinusoidal Waves on Strings Waves transport
- 17. The Doppler Effect Doppler effect is the shift in frequency and
- 18. When the source is stationary with respect to the medium the
- 19. Wave Equation From the wave function we can get an expression
- 20. Electromagnetic Waves The properties of electromagnetic waves can be deduced from
- 21. Equation (1): Equation (1): Here integration goes across an enclosed surface,
- 22. Equation (2): Equation (2): Here integration goes across an enclosed surface.
- 23. Equation (3): Equation (3): Here integration goes along an enclosed path,
- 24. Equation (4): Equation (4): This is Ampère–Maxwell law, or the generalized
- 25. Plane-Wave Assumption We assume that an electromagnetic wave travels in the
- 26. An electromagnetic wave traveling at velocity c in the positive x-direction.
- 27. In empty space there is no currents and free charges: I=0,
- 28. And eventually we obtain: And eventually we obtain: These two equations
- 29. 0 is the free space magnetic permeability: 0 is the free
- 30. So we obtained the wave equations for electromagnetic waves: So we
- 31. Electromagnetic Waves Properties (Summary) The solutions of Maxwell’s third and fourth
- 32. Poynting Vector The rate of flow of energy in electromagnetic waves
- 33. Energy of Electromagnetic Waves Electromagnetic waves carry energy with total instantaneous
- 34. When this total instantaneous energy density is averaged over one or
- 35. Pressure of Electromagnetic Waves Electromagnetic waves exert pressure on the surface.
- 36. Units in Si Wavenumber k rad/m Phase constant rad Poynting vector S W/m2
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