Transcript wave model of light

The Nature of Light
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When studying geometric optics, we used a ray
model to describe the behavior of light.
A wave model of light is necessary to describe
phenomena such as:
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interference
diffraction
A particle model of light is necessary to describe
phenomena observed in modern physics, for example,
the interaction between light and atoms. We’ll get
back to this later...
General Physics 2
Light as a Wave
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Wave Nature of Light
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Christian Huygens (16291695)
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contemporary of Newton
developed wave theory of light
Huygen’s Principle
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Every point on a wave front can
be considered as a source of
tiny wavelets that spread out in
the forward direction at the
speed of the wave itself.
The new wave front is the
envelope of all the wavelets tangent to all of them
General Physics 2
Light as a Wave
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Huygen’s Principle
General Physics 2
Light as a Wave
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Diffraction
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Huygen’s Principle is useful for understanding
diffraction - the bending of waves behind
obstacles into the shadow region
General Physics 2
Light as a Wave
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Interference
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Thomas Young (1773-1829)
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definitively (at least temporarily)
demonstrates wave nature of
light
Young’s Double-Slit
Experiment
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coherent light passes through 2
slits, S1 and S2
light from S1 and S2 then
interferes and pattern of dark
and light spots is observed on
the screen
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Light as a Wave
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Interference
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Constructive interference occurs when
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Destructive interference occurs when
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d sin = m  , m = 0,1,2,...
m = order
d sin = (m + 1/2)  , m = 0,1,2,...
Source must be coherent
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waves at S1 and S2 are in-phase
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Light as a Wave
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what you see on the screen:
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Light as a Wave
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Think-Pair-Share
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Monochromatic light falling on two slits 0.016
mm apart produces the fifth-order fringe at an
8.8 degree angle. What is the wavelength of
the light used?
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Light as a Wave
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Conceptual Question
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What happens to the interference pattern if the wavelength of
light is increased from 500 nm to 700 nm?
What happens instead if the wavelength stays at 500 nm but the
slits are moved farther apart?
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Light as a Wave
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Pair Problem
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Light of wavelength 680 nm falls on two slits
and produces an interference pattern in which
the fourth-order fringe is 38 mm from the
central fringe on a screen 2.0 m away. What
is the separation of the two slits?
(Hint: tan =  for small angles, and angles
must be in radians!)
General Physics 2
Light as a Wave
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Diffraction by a Disk
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Diffracted light interferes constructively at center of
shadow
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requires a point source of monochromatic light (e.g. laser)
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Light as a Wave
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Diffraction by a Single Slit
position of minima
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D sin  = m 
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m = 1, 2, 3, ...
for m=1, theta gives 1/2 width
of central maximum
General Physics 2
Motivation for making large
diameter telescopes
Light as a Wave
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Diffraction Grating
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a large number of
equally spaced parallel
slits
same relation as
double-slit
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d sin  = m 
m = 0, 1, 2, ...
produces sharper and
narrower interference
patterns that double
slit
General Physics 2
Light as a Wave
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Diffraction Grating (L)
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double slit versus
diffraction grating
General Physics 2
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for multi-wavelength
light
Light as a Wave
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Emission Tubes
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Look at several emission tubes using
diffraction gratings & sketch spectrum
Foundation of spectroscopy, a technique
used in numerous scientific applications
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Light as a Wave
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Interference by Thin Films
Produces rings of
constructive/destructive
interference
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Light as a Wave
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Thin-Film Interference: Examples
Oil on water
Soap bubbles
Beetles
Butterflies
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Light as a Wave
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Group Problems
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Q2B.6, Q2S.9
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Light as a Wave
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