Mirrors and Lenses How do eyeglasses correct your

Plane mirrors • The simplest mirror is a plane mirror—a flat, reflective surface, often

Seeing light from an object © 2014 Pearson Education, Inc.

Plane mirrors • The image of the real object seen in the mirror is

Plane mirror virtual image © 2014 Pearson Education, Inc.

Qualitative analysis of curved mirrors • A curved mirror is cut from a spherically

Concave mirrors • Concave mirrors are often used for magnification, in both telescopes and

Convex mirrors • Convex mirrors are used as passenger- side rearview mirrors and to

Concave mirrors • Concave mirrors cause parallel incident rays to pass through a single

Focal point of a concave mirror • If a mirror has a large radius

Reasoning Skill: Constructing a ray diagram to locate the image of an object produced

Creating a virtual image with a concave mirror © 2014 Pearson Education, Inc.

Locating the image of the base of an object produced by a concave mirror

Convex mirrors • With a convex mirror, rays parallel to the principal axis diverge

Reasoning Skill: Constructing a ray diagram to locate the image produced by a convex

The mirror equation © 2014 Pearson Education, Inc.

Objects far away from the mirror • If an object is extremely far away

Mirror equation © 2014 Pearson Education, Inc.

Magnification • The change in the size of the image compared to the size

Linear magnification © 2014 Pearson Education, Inc.

Qualitative analysis of lenses • A lens is a piece of glass or other

Convex lenses • A convex lens made of glass is similar to a concave

Convex lenses with water © 2014 Pearson Education, Inc.

Reasoning Skill: Constructing ray diagrams for single-lens situations: Convex lens © 2014 Pearson Education,

Reasoning Skill: Constructing ray diagrams for single-lens situations: Concave lens © 2014 Pearson Education,

Concave lenses • For concave lenses, light seems to diverge from a single point

Ray diagrams for various lenses © 2014 Pearson Education, Inc.

Image location of the base of the object • The image of the base

Thin lens equation and quantitative analysis of lenses • A thin lens has a

Thin lenses © 2014 Pearson Education, Inc.

Seeing a sharp image on a screen • A screen must be placed where

Linear magnification in lenses • Lenses can produce images that are larger or smaller

Skills for analyzing processes involving mirrors and lenses • When problem solving: – Assume

Photography and cameras • Light from an object enters the camera through the lens,

Light field photography • In light field photography, the image sensor records all the

Optics of the human eye • Light from an object enters the cornea and

Optics of the human eye • When the eye looks at distant objects, muscles

Corrective lenses • The two most common vision abnormalities corrected with lenses are myopia

Corrective lenses (Cont'd) © 2014 Pearson Education, Inc.

Angular magnification and magnifying glasses • The impression of an object's size is quantified

Angular magnification • The angular magnification M of an optical system is defined as:

Angular size of the object as seen with the unaided eye • The maximum

Finding the image produced by multiple lenses © 2014 Pearson Education, Inc.

Telescopes • A common telescope has two convex lenses separated by a distance slightly

The compound microscope © 2014 Pearson Education, Inc.

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Mirrors and Lenses • How do eyeglasses correct your vision? • When you look in a mirror, where is the face you see? • In which ways is a cell phone camera similar to a human eye? © 2014 Pearson Education, Inc.

Plane mirrors • The image of the real object seen in the mirror is located where light reflected from the mirror to the eye of the observer seems to originate. – This perceived image is behind the mirror and not on the surface of the mirror. • Using the ray diagram, we find that the image is exactly the same distance behind the plane mirror as the object is in front of it. © 2014 Pearson Education, Inc.

Concave mirrors • Concave mirrors cause parallel incident rays to pass through a single point after reflection. – If the incident rays are also parallel to the principal axis, this point is called the focal point F of the mirror. © 2014 Pearson Education, Inc.

Focal point of a concave mirror • If a mirror has a large radius of curvature compared to its size and the incident rays are close to the principal axis, the focal point is approximately halfway between the center of the mirror and the center of curvature. © 2014 Pearson Education, Inc.

Locating the image of the base of an object produced by a concave mirror • The image of the base of the object is always on the principal axis directly below the image of the top of the object. © 2014 Pearson Education, Inc.

Objects far away from the mirror • If an object is extremely far away along the principal axis, we can assume that rays from the object reaching the mirror are parallel to the principal axis. © 2014 Pearson Education, Inc.

Qualitative analysis of lenses • A lens is a piece of glass or other transparent material with two curved surfaces that produces images of objects by changing the direction of light through refraction. © 2014 Pearson Education, Inc.

Convex lenses • A convex lens made of glass is similar to a concave mirror where incident rays parallel to the principal axis intersect at a focal point after passing through the lens. – How the rays converge depends on the curvature of the surface of the lens. © 2014 Pearson Education, Inc.

Skills for analyzing processes involving mirrors and lenses • When problem solving: – Assume the lens/mirror is only slightly curved and the rays are incident near the principal axis. – Draw a ray diagram representing the situation in the problem. – Use the picture and ray diagram to help construct a mathematical description of the situation. © 2014 Pearson Education, Inc.

Photography and cameras • Light from an object enters the camera through the lens, which focuses the light on a surface that has light-sensitive properties (an image sensor). © 2014 Pearson Education, Inc.

Light field photography • In light field photography, the image sensor records all the light entering the camera, not just the light that would produce a sharp image on the focal plane. – A photographer can choose an object to focus on after the picture has been taken, because the camera effectively focuses on all objects at once. © 2014 Pearson Education, Inc.

Optics of the human eye • Light from an object enters the cornea and passes through a transparent lens. • An iris in front of the lens widens or narrows, like the aperture on a camera that regulates the amount of light entering the device. • The retina plays the role of the film. © 2014 Pearson Education, Inc.

Optics of the human eye • When the eye looks at distant objects, muscles around the lens of the eye relax, and the lens becomes less curved. • As the object moves closer, the eye muscles contract, increasing the curvature of the lens and reducing the focal length. © 2014 Pearson Education, Inc.