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interference of waves

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Title: interference of waves


1
  • interference of waves
  • the amplitude and phase of resultant wave
  • coherent waves
  • standing waves, p phase shift
  • the standing waves on the string
  • interference, constructive and destructive
  • interference

2
E.g. 7-3
The wave equation of one wave propagating
along x axis can be written as
The reflection occurs at x 0 and the
reflection point is one node. Find 1) the wave
equation of the reflected wave. 2) the wave
equation of the superposition of these two waves.
3)the position of the nodes and antinodes.
3
(No Transcript)
4
The Doppler Effect (?????)
When the wave source and the observer move
relatively, the measured frequency by the
observer is different from the true frequency
(the frequency of the wave source). This
phenomena is called Doppler effect.
(??????????,?????????????????? ?????,???????????)
5
1. Observer moving toward source
The frequency measured by the observer reads
2. Source moving toward observer )
The frequency measured by the observer reads
Both the source and the observer are in motion
6
E.g. 7-4
7
Outline of Part 2 Oscillations and Mechanical
Waves
  1. Simple Harmonic Motions
  2. Simple Pendulum
  3. Damped and Forced oscillations
  4. Vertical and Compound Oscillators
  5. Superposition of Oscillations
  6. Rotating Vector Approach

to be continued
8
Continue
  1. Mechanical Waves Definition and Properties
  2. Wave Function and Its Physical Implications
  3. Simple Harmonic Wave
  4. Wave Number, Wave Speed, Wave Length, etc
  5. Wave Lines, Wave Surfaces, Wave Front
  6. The Huygens Principle

to be continued
9
Continue
  1. Energy Density and Energy Flow Density
  2. Diffraction, Reflection, and Refraction
  3. The Principle of Superposition
  4. Coherent Waves and Interference
  5. Standing Waves
  6. The Doppler Effect

The End
10
Part III Wave Optics
  • 10 Periods

11
The Nature of Light (????)
particle ?
Yes,Newton, etc
Light
wave ?
Yes,Huygens, etc
Light behaves like a wave.
Thomas Young, Augustin Fresnel, etc
Light is a form of high-frequency electromagnetic
wave.
James Clerk Maxwell
Wave-particle Duality !!!
Quantum Theory
(?????)
12
Particle-Wave Duality of Light
???????
Light behaves as a wave sometime, and behaves
like a particle in other cases, as is called
particle-wave duality.
photoelectric effect ???? Compton effect ?????
13
Light as an Electro-magnetic Wave
light transverse wave
the speed of light in vacuum
the speed of light in medium
relative permeability
refraction index
relative permittivity
See Fig. 24.6 in P904 for representation of EMW.
14
electromagnetic spectrum ???? millimeter??
15
reflection refraction imaging prism
Geometric Optics ray model, path reversible
interference diffraction polarization
Wave Optics Wave model electromagnetic waves,
Huygens principle
Optics
Photoelectric effect Compton effect Blackbody
radiation
Quantum Theory particle-wave duality, etc
16
Interference of Light (????)
Conditions for Interference (????)
  1. identical wavelengths
  2. constant phase difference
  3. vibrating in parallel direction

coherent
Yes
Conditions for interference fulfilled?
incoherent
No
Again, to observe obvious interference
effects, the intensity difference between the
individual waves cant be too large .
17
Interference of Waves
Review
18
Review
interfere constructively
interfere destructively
19
If two waves are in phase everywhere, we get
interfere constructively
interfere destructively
path length (??)
path difference (???)
20
Optical Path Length (??)
f
light
Path length
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