Lenses ppt
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Transcript of Lenses ppt
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7/29/2019 Lenses ppt
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Lenses
Converging
LensDiverging
Lens
F F
ff
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Find the focal length of a converging lens byholding it up to a window.
(See how far away from the lens you need to holda piece of paper to focus the image on the paper.)
Web Link: Spherical mirrors and lenses
http://surendranath.tripod.com/Applets/Optics/ReflRefrCurv/CurvSurfApplet.htmlhttp://surendranath.tripod.com/Applets/Optics/ReflRefrCurv/CurvSurfApplet.html -
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Ray Tracing for Lenses
Light passes through a lens
There is a focal point on both sides of a lens
Converging Lens:
Ray #1:Parallel to the axis
Refracts through F
Ray #2:Through F
Refracts parallel to axis
Ray #3:Through Center of
lens undeflected
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Example: Camera
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Example: Slide Projector
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Example:
MagnifyingGlass Web Link:
Ray tracing
http://www.phy.ntnu.edu.tw/java/Lens/lens_e.htmlhttp://www.phy.ntnu.edu.tw/java/Lens/lens_e.html -
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Results: Ray Tracing for Converging Lenses(in each case, draw in the 3 rays for practice)
Object distance > 2f: Image is real, smaller, and inverted
FF2F
Object between f and 2f: Image is real, larger, inverted
FF2F
Object between f and mirror: Image virtual, larger, upright
FF2F
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Ray #1: Parallel to the axis on the leftRefracts as if it came from F on the left
Ray #2: Heads toward F on the right
Refracts parallel to the axis on the right
Ray #3: Through the center of the lens undeflected
Web Link: Spherical mirrors and lenses
Now, for Diverging lenses
For a Diverging Lens:
http://surendranath.tripod.com/Applets/Optics/ReflRefrCurv/CurvSurfApplet.htmlhttp://surendranath.tripod.com/Applets/Optics/ReflRefrCurv/CurvSurfApplet.html -
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2
Example: Glasses to correct nearsightedness
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Results: Ray Tracing for Diverging Lenses(draw in the 3 rays for practice)
No matter where the object is:Image is always virtual, smaller and upright
FF
Web Link:Ray Tracing Summary for
Mirrors and Lenses
Web Link: Ray tracing
http://www.sciencejoywagon.com/physicszone/lessonch/09waves/optics/raytrace/default.htmhttp://www.sciencejoywagon.com/physicszone/lessonch/09waves/optics/raytrace/default.htmhttp://www.phy.ntnu.edu.tw/java/Lens/lens_e.htmlhttp://www.phy.ntnu.edu.tw/java/Lens/lens_e.htmlhttp://www.sciencejoywagon.com/physicszone/lessonch/09waves/optics/raytrace/default.htmhttp://www.sciencejoywagon.com/physicszone/lessonch/09waves/optics/raytrace/default.htm -
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For a lens, a real imageis on the opposite side
as the object
1
d
1
d
1
fo i
The Thin LensEquation
md
d
i
o
These equations also work on lenses:
The MagnificationEquation
But the variables are defined slightly differentlynow because.
For a mirror, a realimage was on the same
side as the object
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Sign conventions for Lenses
Focal length (f)+ converging
- diverging
Object distance (do)
+ object on the left
Image distance (di)
+ image on the right (real)
- image on the left (virtual)
Magnification (m)
+ upright
- inverted
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Ex:
lens
book
13cm
If the image of the book is 5.0 cm belowthe lens, find the focal length of the lens.
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Ex:
A camera with a focal length of 50 mm takes a
photograph of a 100 m tall building from 350 maway. How tall is the image on the film?
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The Human Eye
Web Links: Eye lens,Vision and Eyesight
Near Point Closest distance the
eye can focus on(about 25 cm when
we are young)
Far Point Farthest distance
the eye can focuson (should be )
http://micro.magnet.fsu.edu/primer/java/eyeball/index.htmlhttp://www.sciencejoywagon.com/physicszone/lessonch/09waves/optics/eyes/index.htmhttp://www.sciencejoywagon.com/physicszone/lessonch/09waves/optics/eyes/index.htmhttp://micro.magnet.fsu.edu/primer/java/eyeball/index.html -
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Someone who is Nearsighted cannotfocus on far away objects. (Their
far point is not at infinity.)
Nearsightedness can be correctedwith diverging lenses
Heres how it works
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Ex:
Without my contact lenses, I need to stand 35 cm orless from the TV in order to see it in focus. Find the
focal length of the contact lenses that correct my
vision.
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Someone who is Farsighted cannotfocus on objects too near.
Farsightedness can be corrected with
converging lenses
Heres how it works
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The man has a near point of 48 cm. Hisreading glasses are 2.0 cm from his eyes,
and with them on, he can read the
newspaper as close as 25 cm to his eyes.Find the focal length of his glasses
Ex:
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Lens Aberrations
1) Spherical Aberration
Can you think of two ways that thisproblem could be eliminated?
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2) Chromatic Aberration
How to correct this problem?
Compound(Achromatic)
Lens