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LENSES. 30.1 – Converging & Diverging Lenses. Light is refracted as it passes through glass Converging (Convex) lens – light intersects (converges) on backside, thicker in middle Diverging (Concave) lens – light spreads out (diverges) on backside, thinner in middle.
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30.1 – Converging & Diverging Lenses • Light is refracted as it passes through glass • Converging (Convex) lens – light intersects (converges) on backside, thicker in middle • Diverging (Concave) lens – light spreads out (diverges) on backside, thinner in middle
Focal point = the point that parallel rays of light cross after going through lens • Principle axis – a perpendicular line going through center of lens • Focal length – the distance from center of lens to focal point
30.2 – Image Formation by a Lens Converging Lenses • Consider an object very far away (at infinity: f ∞) • The spreading is so small, the rays are considered to be parallel • After passing through lens, they intersect at focal point on other side and produce an upside down image • Object at F no image (forms at infinity)
Between F and ∞ real, inverted • Object closer than F = virtual image – • cannot be projected onto screen, • rays of light do not intersect • Can only be seen in lens Diverging Lenses • Regardless of location of object image is: • Virtual • Upright • smaller
30.5 – Common Optical Instruments Camera • Uses lens (or lenses) to produce real, inverted image on light sensitive film • Exposure of light is regulated by shutter/diaphragm Telescope • A second lens is used (eyepiece) as a magnifying lens to enlarge real image from first lens
A third lens or prisms can be used to make image upright C0mpound Microscope • First lens (objective) produces real image (inverted) • Second: inside focal length of image producing virtual, larger, inverted
30.6 – The Eye • Light enters through transparent cover – cornea • The amount of light allowed in through the pupil is regulated by the iris – colored part of eye • Light is focused on tissue on back of eye - retina
The nerves that carry light information away (optic nerve) produce a blind spot • Muscles surrounding the lens of the eye constantly change its shape to adjust for objects close and far away • Recall: the image produced is upside down
30.7 – Some Defects in Vision Farsightedness • Eyeball is too small, the lens focuses light behind the eye • Eye cannot focus on objects too close • A converging lens is placed in front of the eye to begin the curving process
Nearsightedness • Eye is too long or lens is curved too much causing focal point to be before the retina • Cannot see objects far away • Must wear diverging lenses to “slow the convergence” Astigmatism • The cornea is not uniformly curved • Causes light to focus well at certain locations on retina, but not all • Corrective lenses are specially designed
30.8 – Some Defects of Vision • Distortions of an image – abberation • Spherical abberation • Light does not focus at same location • Due to varying refraction angles at different distances from center • Corrected by: thin covering at edges or combination of lenses • Chromatic Abberation • Due to dispersion of colors as they pass through lenses • Therefore each color has its own focal point