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HW #5, Due Sep. 28. Ch. 3: P7, P9, P10, P15, PH5. Reading Assignment For Next Week: Ch.4. REMINDER Exam I: Tuesday Oct. 3 Covers Chapters 1,2,3. Lecture 10 (chapter 3 continued). Quick Review: Ray rules for concave mirrors Finding the image Lenses This Lecture:
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HW #5, Due Sep. 28 Ch. 3: P7, P9, P10, P15, PH5 Reading Assignment For Next Week: Ch.4 REMINDER Exam I: Tuesday Oct. 3 Covers Chapters 1,2,3
Lecture 10 (chapter 3 continued) • Quick Review: • Ray rules for concave mirrors • Finding the image • Lenses • This Lecture: • Ray Rules for Converging and Diverging Lenses • Image Formation • Magnification, etc.
Refraction at Curved Surfaces R I axis O C center n2 n1 Simply apply the laws of refraction
I R axis O C center n2 n1
Thin Spherical Lenses Converging Lens: focal length (f) is positive R1 R2 The focal length f depends on curvatures (R1 and R2) and the index of refraction (n) of the material (glass).
Thin Spherical Lenses Converging Lens: focal length (f) is negative
Examples of Converging and Diverging Lenses * Lens Action (Many Applets) http://microscopy.fsu.edu/primer/lightandcolor/javalens.html http://www.techxhome.com/lightsite/optics/lenses/principleRays.html principle rays
Ray Rules for Converging (and Diverging) Lenses Ray Rule 1: All rays incident parallel to the axis are deflected through F’ (or as if it came from F’) Ray Rule 2: All rays passing through the center of the lens Continue undeviated. Ray Rule 3: All rays that (when extended, if necessary) pass through F are deflected parallel to the axis.
Example: Ray Rules for a converging lens | | F F’ | | F F’ | | F F’ f f= focal length
Power of a Lens in diopters in meters * Lens Action (Many Applets) http://microscopy.fsu.edu/primer/lightandcolor/javalens.html http://www.techxhome.com/lightsite/optics/lenses/principleRays.html principle rays
Spheres as Thick Lenses • Examples: • Water droplets (dew) • Glass beads • ..
Dew Heiligenschein: The Holy Light ! Heiligenschein (German for halo) occurs when sunlight falls on nearly spherical dew drops and refracted back toward the sun in the same direction as it enters. It appears as bright white light around the shadow of your head on a dew-covered lawn.
Glass Beads as Retroreflectors Scotchlite
Lens Aberrations Chromatic http://www.techxhome.com/lightsite/optics/lenses/chromAberr.html
*Thick Lens (Spherical Aberration) http://www.cbu.edu/%7Ejvarrian/applets/lens3/thickl_z.htm http://www.techxhome.com/lightsite/optics/mirrors/mirrorAberr.html
*Thick Lens (Spherical Aberration) http://www.cbu.edu/%7Ejvarrian/applets/lens3/thickl_z.htm http://www.techxhome.com/lightsite/optics/mirrors/mirrorAberr.html NEXT: CHAPTER 4 *Magnification (Magnifying Glass) http://microscopy.fsu.edu/primer/java/microscopy/simplemagnification/index.html