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Modern Optics Lab Lab 6 Part 1: Interference Experiments Young’s double slit experiment with laser light: Determine the wavelength of the laser light. The double slit experiment with white light: Determine the coherence length of white light. Topics

Modern Optics Lab Lab 6 Part 1: Interference Experiments Young’s double slit experiment with laser light: Determine the wavelength of the laser light

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Page 1: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

Young’s double slit experiment with laser light: Determine the wavelength of the laser light.

The double slit experiment with white light: Determine the coherence length of white light.

Topics

Page 2: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

Double Slit Diffraction

Wave fronts of light

Double slit

Screen

Wave going through this slit travels a bit further to get to this particular place on the screen.Waves from the two slits are out of

phase by half a wavelength in that directionWaves annihilate each other in that direction

(“destructive interference”).Darkness on that place on the screen.

Dark

Page 3: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

The waves going through both slits travel the same distance to the screen.Waves from the two slits in phase.Waves add together to twice the amplitude (“constructive interference”). Bright spot in center.

Dark

Bright

Dark

Dark

Dark

Bright

Bright

Dark

Bright

The light exits the slits in all directionssimultaneously.

A pattern of bright and dark regions appears.

Page 4: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

Condition for intensity maximum:

m = 0, 1, 2 , 3…

d

y

Page 5: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

a

y

Page 6: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

Condition for intensity maximum:

m = 0, 1, 2 , 3…

a

y

a

mam

a

sinsinsin

Page 7: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

Interference and Coherence Length

The path length difference must be less than the coherence length of the light. Otherwise no definite phase relationship exists and the interference pattern is not visible.

No problem for laser light (coherence length of order or meters).

White light has much shorter coherence length Interference pattern only visible for small m.

Page 8: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

V I.A. Young’s Double Slit Experiment with Laser Light

Laser

Double SlitScreen

Vary slit separation and observe changes. Measure interference maxima spacing and determine the wavelength of the laser

from it.

Large Screen(to keep laser light within your area)

Page 9: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

V I.B Young’s Double Slit Experiment with White Light

Incandescent Light

Double Slit Diffuser

The double slit interference pattern (if there) will appear when looking against the direction of light propagation through the diffuser.

Try different slit widths.

Estimate coherence length of white light.

Page 10: Modern Optics Lab Lab 6 Part 1: Interference Experiments  Young’s double slit experiment with laser light: Determine the wavelength of the laser light

Modern Optics LabLab 6 Part 1: Interference Experiments

V I.B Young’s Double Slit Experiment with White Light

Incandescent Light

Double Slit Diffuser

Use the photometer aperture to only let light through one slit.

Observe and explain.

Photometer aperture