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Figure 26-1 Wave Fronts and Rays
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Figure 26-2 Spherical and Planar Wave Fronts
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Figure 26-3 Reflection from a Smooth Surface
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Reflection Law of reflection i r
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Figure 26-4 Reflection from Smooth and Rough Surfaces
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Figure 26-6 Locating a Mirror Image
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Figure 26-8 Spherical Mirrors
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Figure 26-9 Concave and Convex Mirrors
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Figure 26-10 Parallel Rays on a Convex Mirror
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Figure 26-12 Parallel Rays on a Concave Mirror
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Figure 26-13 Spherical Aberration and the Parabolic Mirror
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Figure 26-14 Principal Rays Used in Ray Tracing for a Concave Mirror
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Figure 26-15 Principal Rays Used in Ray Tracing for a Convex Mirror
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Figure 26-17 Image Size and Location in a Convex Mirror
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Figure 26-18 Image Formation with a Concave Mirror
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Example 26-3 Image Formation
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Mirrors The mirror equation
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Mirrors Magnification
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Mirrors d o =distance of the object from the mirror d i =distance of the image from the mirror f= focal length of the mirror
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Mirrors Distances in front of the mirror are positive. Distances behind the mirror are negative.
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Table 26-1 Imaging Characteristics of Convex and Concave Spherical Mirrors Convex Mirror Object locationImage orientationImage sizeImage type ArbitraryUprightReducedVirtual Concave Mirror Object locationImage orientationImage sizeImage type Beyond CInvertedReducedReal CInvertedSame as objectReal Between F and CInvertedEnlargedReal Just beyond FInvertedApproaching infinityReal Just inside FUprightApproaching infinityVirtual Between mirror and FUprightEnlargedVirtual
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Mirrors Mirror problems: 19, and 21-24 on page 883. Ray tracing worksheet.
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Refraction When light transitions between two media with different indices of refraction, it will change direction if it transitions at an angle to the demarcation between the two media.
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Refraction Angles of incidence and angles of refraction are measured in reference to a line normal (perpendicular) to the line of demarcation between media.
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The index of refraction (n) for a medium is defined as the speed of light in vacuum (c) divided by the speed of light in the medium(v).
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Exercise 26-4 Find the angle of refraction
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Refraction There is a mathematical relationship that is used to calculate the amount of bending called Snell’s Law.
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Refraction
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If a ray is transitioning from a medium of lesser n to a medium of greater n it will bend toward the normal.
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Refraction If a ray is transitioning from a medium of greater n to a medium of lesser n it will bend away from the normal.
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Figure 26-24 Light Propagating Through a Glass Slab
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Refraction Problems 37-42 on page 883.
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Lenses Refractive properties of materials are useful in manipulating light for imaging purposes through the use of lenses.
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Lenses Lenses consist of two main types converging and diverging.
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Figure 26-29 A Variety of Converging and Diverging Lenses
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Figure 26-32 The Three Principal Rays Used for Ray Tracing with Convex Lenses
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Figure 26-33 The Three Principal Rays Used for Ray Tracing with Concave Lenses
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Figure 26-35a Ray Tracing for a Convex Lens
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Figure 26-34 The Image Formed by a Concave Lens
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Lenses The lens equation
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Lenses Magnification
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Lenses d o =distance of the object from the lens d i =distance of the image from the lens f= focal length of the lens
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Lenses Focal length f is positive for converging(convex) lenses f is negative for diverging (concave) lenses Magnification m is positive for upright images (same orientation as the object) m is negative for inverted images (opposite orientation of object)
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Lenses Image distance d i is positive for real images (on the opposite side of the lens from the object) d i is negative for virtual images (on the same side of the lens from the object) Magnification m is positive for upright images (same orientation as the object) m is negative for inverted images (opposite orientation of object)
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Lenses d o is positive for real objects (from which light diverges) d o is negative for virtual objects (toward which light converges)
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Lenses Problems 63-67 on page 885. Ray tracing worksheet.
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Dispersion of light The index of refraction in a substance is different for light of different frequencies.
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Dispersion of light The greater the frequency, the greater the index of refraction.
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Dispersion of light Violet light will bend more than red light or green light, and therefore a separation of colors occurs.
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Example 26-8 Prismatics
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Figure 26-37 Dispersion in a Raindrop
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Figure 26-38 How Rainbows Are Produced
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Dispersion of light Problem 77 on p 885
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