Optical Review
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Outline
Refraction and dispersion of light
Light optical microscope
Resolution
Depth of field
Aberrations in optical systems
(1) Chromatic aberration
(2) Monochromatic aberration
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Outline
Refraction and dispersion of light
Light optical microscope
Resolution
Depth of field
Aberrations in optical systems
(1) Chromatic aberration
(2) Monochromatic aberration
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Refraction of light
Refraction: [noun] Deflection from a straight path
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Refraction of light
• Physical basis for many optical phenomena.
• Refraction is the change in direction of light as it
passes into another material of different density.
• Refractive index (n) in light optics is defined as
𝑐𝑐 𝑐𝑐: speed of light in vacuum
𝑛𝑛 =
𝑣𝑣 𝑣𝑣: speed of light in the substance
• The n of vacuum is defined as 1.0 (i.e., maximum
speed in vacuum); n of all other materials exceeds 1.0.
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Refractive index (n)
Refractive Index of
Selected Media
• For most practical purposes, the
Refractive
refractive index (1.0003) of air is so Material
Index
close to that of vacuum; can be used Air 1.0003
to calculate refractive indices (n) of Water 1.333
unknown materials. Glycerin 1.473
Immersion
1.515
Oil
• Materials with higher refractive Glass 1.520
indices slow down the speed of light
Diamond 2.417
to a great degree than those with Lead
lower refractive indices. 3.910
Sulfide
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Snell’s law
• Snell's Law describes the relationship between the
angles (with respect to the normal) of the two light
waves and the refractive indices of the two materials.
• The normal is defined as a line perpendicular
to the interface between two substances.
(higher index
of refraction)
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Snell’s law
• If a light wave passes from a medium of lower
refractive index to one of higher refractive index, it is
bent toward the normal.
• However, if the wave travels from a medium of higher
refractive index to a medium of lower refractive index,
it is bent away from the normal.
Snell’s law
or
When the light is monochromatic,
𝑣𝑣: phase velocity of light in the respective medium
λ: wavelength of light in the respective medium
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Effect of refraction in lenses
• Because the “refracted” angle depends on the
“incident” angle, a convex lens can be used to focus
light to a point at a specified distance from the lens.
Focused
Incident Refracted
• Focal point: the point at which rays meet after refraction
• Focal length: a measure of how strongly the optical
system converges (or diverges) light 9
Dispersion
• Light with different wavelength refracts differently.
• Violet light (λ ~ 400 nm) refracts more than red light (λ
~ 700 nm).
Refraction occurs at the
“glass/air” boundary bending
the rays away from the normal
as they speed up again.
Refraction occurs at the
“air/glass” boundary
bending the rays towards the
normal as they slow down.
Each color refracted to a
Red light bends
different degree by the
less because it is
glass – the color disperse
refracted less.
into a spectrum of light.
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