Convex concave ray diagrams

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  • J.M. Gabrielse

    Ray Diagrams

  • J.M. Gabrielse

    Spherical Mirrors (concave & convex)

  • J.M. Gabrielse

    Concave & Convex (just a part of a sphere)

    C: the centre of curvature (centre point of the sphere)

    F: the focus (focus) of the mirror (halfway between C and the mirror)

    C

    F

    Principal Axis

    Curved Surface

  • J.M. Gabrielse

    Principal axis

    Concave Mirrors (caved in)

    F

    Light rays that come in parallel to the principal axis reflect through the focus.

    C

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    principal axis

    Concave Mirror Case #1 (image outside C)

    F

    C

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    principal axis

    Concave Mirror Case #1 (image outside C)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #1 (image outside C)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #1 (image outside C)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #1 (image outside C)

    F

    A image forms where the light rays converge. When we describe the image formed, we

    can use the acronym LOST (Location, Orientation, Size, Type).

    This image is L - between F and C, O - inverted (upside down from original), S - smaller

    than original and T - a real image (on the same side of the mirror).

    C

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    principal axis

    Your Turn - Concave Case #2 (object at C)

    F

    object

    concave mirror

    Locate and describe (LOST) the image of the arrow

    C

  • J.M. Gabrielse

    principal axis

    Your Turn - Concave Case #2 (object at C)

    F object

    concave mirror

    L - at C, O - inverted, S - same size, T - real

    C

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    principal axis

    Concave Mirror Case #3 (image between C and F)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #3 (image between C and F)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.us.

    The second ray comes in through the focus and reflects parallel to the principal axis.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #3 (image between C and F)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.us.

    The second ray comes in through the focus and reflects parallel to the principal axis.

    L - beyond C, O - inverted, S - larger than original, T - real

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #4 (image at F)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #4 (image at F)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.us.

    The second ray comes in through the focus but never reflects off the mirror.

    Result - NO IMAGE is formed

    C

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    principal axis

    Concave Mirror Case #5 (object between F and mirror)

    F

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #5 (object between F and mirror)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #5 (object between F and mirror)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #5 (object between F and mirror)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    The image forms where the rays converge. But they dont seem to converge.

    C

  • J.M. Gabrielse

    principal axis

    Concave Mirror Case #5 (object between F and mirror)

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    The image is L - on the other side of the mirror, O - upright (the same direction as the

    original, S - larger than the original, T - virtual (on opposite side of mirror)

    C

  • J.M. Gabrielse

    Convex Mirrors Case #6 (curved out)

    Light rays that come in parallel to the principal axis reflect from the focus.

    principal axis

    F

    The focus is considered virtual since sight lines, not light rays, go through it.

    C

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    Convex Mirrors Case #6 (example)

    principal axis

    F

    F

    C

  • J.M. Gabrielse

    Convex Mirrors Case #6 (example)

    principal axis

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    C

  • J.M. Gabrielse

    Convex Mirrors Case #6 (example)

    principal axis

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    F

    C

  • J.M. Gabrielse

    Convex Mirrors Case #6 (example)

    principal axis

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    The light rays dont converge, but the sight lines do.

    F

    C

  • J.M. Gabrielse

    Convex Mirror Case #6 (example)

    principal axis

    F

    The first ray comes in parallel to the principal axis and reflects through the focus.

    The second ray comes through the focus and reflects parallel to the principal axis.

    The light rays dont converge, but the sight lines do.

    L - other side of mirror, O - upright, S - smaller than original, T - virtual

    C

  • J.M. Gabrielse

    principal axis

    Your Turn (Convex Mirror)

    C

    Locate the image and describe it

    object

    convex mirror

    F

  • J.M. Gabrielse

    principal axis

    Your Turn (Convex Mirror)

    C

    L - Other side of mirror, O - upright, S - smaller than original, T - virtual

    object

    convex mirror

    image

    F

  • J.M. Gabrielse

    Thanks/Further Info

    Faulkes Telescope Project: Light & Optics by Sarah Roberts

    Fundamentals of Optics: An Introduction for Beginners by Jenny

    Reinhard

    PHET Geometric Optics (Flash Simulator)

    Thin Lens & Mirror (Java Simulator) by Fu-Kwun Hwang

    http://faulkes-telescope.com/education/activities/worksheets/Light_Opticshttp://faulkes-telescope.com/education/activities/worksheets/Light_Opticshttp://phet.colorado.edu/new/admin/get-run-offline.php?sim_id=102http://phet.colorado.edu/new/admin/get-run-offline.php?sim_id=102http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=48

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