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Chapter 32 - Optical Images Alex Beutel . April 16, 2008 . Physics 42L 0.1 Mirrors 1 2 1 += ss r s y =− y s (1) (2) Focal length is defined as the image distance as s → ∞ 1 f= r 2 1 1 1 += ss f Rules for drawing ray diagram for circular mirror: • Any ray through the center of the circle will be reflected back on itself (θ = 0) • Ray that hits the mirror on the axis (x-axis or something), is easiest to draw because most clear what the perpendicular is. As usual, θ incident is equal to θ reflected. • Parallel ray (the ray drawn parallel to the axis) is reflected through the focal point • Focal ray (the ray through the focal point) is reflected parallel to the axis s y =− y s (3) (4) m= Sign (page 1046) (5) • s is positive if the object is on the incident-light side of the mirror • s is positive if the image is on the reflected-light side of the mirror • r (and f ) is positive if the mirror is concave so the center of curvature is on the reflected-light side of the mirror 0.2 Lenses n1 n2 n2 − n1 + = s s r y n1 s m= = y n2 s Thick lenses: (6) (7) 1 Thin lenses: 1 = (n − 1) f 1 1 1 += ss f 1 Power = P = f Ray diagrams: • From the parallel ray, the emerging ray is directed toward (or away from) the second focal point of the lens. • From the central ray (drawn through the center), the ray is undeflected (displacement is negligible). • The focal ray (drawn through first focal point), the emerging ray is parallel. Combining lenses: 1 fef f = 1 1 + f1 f2 (11) (12) 1 1 − r1 r2 (8) (9) (10) 0.3 Aberrations NOTHING 0.4 Optical Instruments Simple magnifier - object must be closer to the lens than its focal length M= Compound Microscope y L =− y fo xnp Me = fe mo = M = mo Me = − Telescope M= θe fo =− θo fe Magnifying Power of a Telescope (17) L xnp fo fe Magnifying Power of a Microscope (14) (15) (16) xnp θ = θo f (13) 2 

Document Info

Posted By:

Alex Beutel

Date:

Sunday, April 20, 2008

School:

Duke University

Class:

Physics 42L

Tags:

• Formula Sheet
• Formulas
• Lens
• Mirror
• Telescope
• Optics

About this Document

Here is a list of formulas and some basic ideas from my reading of Chapter 32 in "Physics: for scientists and engineers"