RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Preview Section 1 RefractionRefraction Section 2 Thin LensesThin Lenses Section 3 Optical PhenomenaOptical Phenomena

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company The student is expected to: TEKS 7D investigate behaviors of waves, including reflection, refraction, diffraction, interference, resonance, and the Doppler effect

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company What do you think? Suppose you are reaching for swim goggles floating below the surface of a pool or trying to net a fish while out in a lake. Would you reach at the point where you see the object, or above it, or below it? –Describe personal experiences that helped you answer this question. –Make a sketch showing how you think light behaves when leaving the goggles, passing into the air, and then entering your eyes.

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Refraction Why does the lawnmower turn when it strikes the grass? –The right wheel slows down before the left one. –Light waves behave in the same way. Refraction is the bending (change in direction) of light when it travels from one medium into another. –Caused by a change in speed

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company How does it bend? Wave fronts (dashed lines) slow down when entering glass. –The lower edge slows before the upper edge, so the wave turns to the right. –Also, the wavelength is shortened. Lower edge Upper edge

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Wave Model of Refraction

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Ray Diagrams Light rays reflect and refract. If the light slows down, it bends toward the normal line (  glass <  air ). –Angles are measured with the normal line. Light rays are reversible.

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Law of Refraction c = 3  10 8 m/s v is always less than c, so n >1 for all media. –n air = n is dimensionless. n is a measure of the optical density of a material.

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Indices of Refraction

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Snell’s Law Angles must be measured with the normal.

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Classroom Practice Problems Find the angle of refraction of a light ray (589 nm) entering diamond from water at an angle of 30.00° with the normal. –Answer: 15.99° A light ray (589 nm) traveling through air strikes an unknown substance at 60.00° and forms an angle of 41.42° with the normal inside. What material is it? –Answer: n = 1.309, so the material is ice

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Refraction Where does the cat see the fish? Where does the fish see the cat? Objects appear to be in line with the observed rays.

RefractionSection 1 © Houghton Mifflin Harcourt Publishing Company Now what do you think? Suppose you are reaching for swim goggles floating below the surface of a pool. Would you reach at the point where you see the object, or above it, or below it? –Make a sketch showing how light behaves. If you are under water looking at a person standing on the side of the pool, where is the image? –Make a sketch showing how light behaves.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company The student is expected to: TEKS 7D investigate behaviors of waves, including reflection, refraction, diffraction, interference, resonance, and the Doppler effect 7E describe and predict image formation as a consequence of reflection from a plane mirror and refraction through a thin convex lens 7F describe the role of wave characteristics and behaviors in medical and industrial applications

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company What do you think? How will the light bend as it enters and leaves the three glass blocks? Draw the rays as they change direction. Make sure your drawing includes normal lines at each interface. Would you describe the combination of blocks as converging or diverging with respect to the incoming light?

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Lenses A lens is a transparent object that converges or diverges light by refraction. –A converging lens is thicker at the middle. –A diverging lens is thinner at the middle. Light actually bends at each surface. However, for thin lenses, we can show light bending only once at the center of the lens. Focal length (f) is the distance from the focal point (F) to the center of the lens.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Converging and Diverging Lenses

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Ray Diagrams for Lenses Complete the ray drawing to locate the image using the rules above.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Ray Tracing for a Converging Lens

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Images Created by Converging Lenses Configurations 1 and 2:

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Images Created by Converging Lenses Configurations 3 and 4:

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Images Created by Converging Lenses Configurations 5 and 6:

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Diverging Lens Diagram Complete the ray diagram for the lens shown to the left using the three rules from Table 2.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Ray Tracing for a Diverging Lens

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Thin-Lens Equations

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Sign Conventions p is positive if the object is in front of the lens. q is positive if the image is behind the lens (real and inverted). q is negative if the image is in front of the lens (virtual and upright). f is positive for converging lenses and negative for diverging lenses. h and h’ are positive if upright and negative if inverted.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Classroom Practice Problems When an object is placed 3.00 cm in front of a converging lens, a real image is formed 6.00 cm in back of the lens. Find the focal distance of the lens. –Answer: 2.00 cm Where would you place an object in order to produce a virtual image 15.0 cm in front of a converging lens with a focal length of 10.0 cm? How about a diverging lens with the same focal length? –Answers: 6.00 cm, cm

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company The Eye and Corrective Lenses Light is refracted at both the cornea (outer surface) and the lens. –When functioning properly, the converging lens can adjust so that the image is focused on the retina. Muscles adjust the thickness of the lens. Many people are nearsighted (myopia) and can’t see distant objects clearly. Older people are often farsighted (hyperopia) and can’t see nearby objects. –The lens becomes inflexible with age and can’t be made thicker to focus on nearby objects.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Nearsightedness The image forms in front of the retina, possibly because the retina is too long. What type of lens is needed in front of the eye to correct the problem, converging or diverging? Explain your reasoning. –Answer: a diverging lens

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Farsightedness The image forms behind the retina, possibly because the lens is inflexible. What type of lens is needed in front of the eye to correct the problem, converging or diverging? Explain your reasoning. –Answer: a converging lens

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Combinations of Lenses Microscopes and refracting telescopes use two lenses. –The objective lens forms a real image that is located inside the focal point of the eyepiece. –The eyepiece magnifies the first image, creating a large virtual image.

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Compound Light Microscope

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Refracting Telescope

RefractionSection 2 © Houghton Mifflin Harcourt Publishing Company Now what do you think? How will the light bend as it enters and leaves the three glass blocks? Draw the rays. How is this similar to a lens? Which type of lens? How would the rays exit the three blocks if there were six equally spaced rays instead of three? How would those same six rays exit a converging lens?

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company The student is expected to: TEKS 7D investigate behaviors of waves, including reflection, refraction, diffraction, interference, resonance, and the Doppler effect 7E describe and predict image formation as a consequence of reflection from a plane mirror and refraction through a thin convex lens 7F describe the role of wave characteristics and behaviors in medical and industrial applications

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company What do you think? Suppose a beam of light entering a tank of water strikes at a 60.00° angle with the normal. What angle does it make with the normal after entering the water? Sketch it. Suppose a beam of light emerging from beneath the water surface strikes at a 60.00° angle with the normal. What angle does it make with the normal after entering the air? Sketch it.

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Total Internal Reflection Total internal reflection occurs if the angle in the denser medium is too great. –Light can’t emerge so it is reflected back internally. –Occurs if the angle is greater than the critical angle (  c ). Used in fiber optics, right angle prisms, and diamond cutting.

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Critical Angle  c occurs when the angle in the less dense medium is 90°. –At the critical angle, the emerging ray travels along the surface. –At greater angles, the rays are totally internally reflected.

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Total Internal Reflection

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Classroom Practice Problems Find the critical angle for light emerging from a diamond into air. The index of refraction for diamond is Repeat for cubic zirconium with n = –Answers: 24.42° for diamond and 27.04° for cubic zirconium Which material is more likely to trap light entering the top surface in such a way that it reflects many times internally before emerging?

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Atmospheric Refraction Make a sketch like that above. On your drawing, show how light will bend when it strikes the atmosphere. –Remember that this is a very slight change in the index of refraction, and it occurs gradually as the atmosphere becomes denser. –This bending allows us to see the sun before it rises and after it sets.

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Mirages Mirages are caused by the refraction of light as it strikes the hot air near the earth’s surface. –This phenomena can be observed when driving on blacktop roads on hot summer days. Inverted cars can be seen approaching, with the actual cars up above them.

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Dispersion Refraction or n depends on the wavelength. –Longer wavelengths refract less. Prisms disperse the light into a spectrum. Chromatic aberration is a lens problem where different colors focus at different points. –Can lead to imperfect images for cameras with less expensive lenses.

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Rainbows

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Click below to watch the Visual Concept. Visual Concept Dispersion of Light

RefractionSection 3 © Houghton Mifflin Harcourt Publishing Company Now what do you think? How do fiber optic cables keep the light trapped inside the cable as it travels great distances and bends around corners? What phenomena is responsible for trapping the light? Why do different people see different colors for a water drop when observing a rainbow? What phenomena is responsible for the rainbow?