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Lecture 13
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mirrors redirect light rays through
reflection
lenses redirect light rays through
refraction
thin symmetric lenses - there is refraction at
both interfaces
lenses have
two focal points, one on each side of the lens and both the same distance from the lens
as with spherical mirrors, the focal points are defined by the
behavior of rays parallel to the principle axis
converging lenses:
positive focal length
diverging lenses:
negative focal length
a converging lens is
thicker at is center than at its edges
converging lens - if the object is far away from the lens (relative to the focal point), the image is
real and inverted
converging lens - if the object is close to the lens (relative to the focal length), the image is
virtual and upright
the object distance is positive if
the object is on the side of the lens from which the light is coming, and negative otherwise
the image distance is positive if
the image is on the opposite side of the lens from which the light is coming (real image), and negative otherwise (virtual image)
the height of the image is positive if the image is
upright and negative if the image is inverted
a biconvex (converging) lens is the type of lens in
the human eye, and it is responsible for forming images
with normal vision, light focuses precisely on
the retina at a location called the focal point of the eye lens
eye lens - the image is
real (on the opposite side of the object)
inverted
diminished
through years of evolution, the brain has learned to intercept the
inverted retinal image as an upright perception of the external world
a diverging lens is
thinner at its center than at its edges
a diverging lens produces only one type of image
always virtual, diminished, and upright
so converging (convex) lenses act like
concave mirrors and diverging (concave) lenses act like convex mirrors