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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