lecture 2 slides
DESCRIPTION
Lecture notes for a Modern Physics course using Giancoli.TRANSCRIPT
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Physics III: Quantum Physics
G. Hodepohl/ESO[Hde]
Modern Physics
NIST/JILA/CU-Boulder[NB]
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PHYS 283Fundamentals of Physics III: Quantum
PhysicsLecture 1: Review of rays
M. Bellis
Department of PhysicsNorthern Illinois University
February 15, 2012
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Outline
...1 Announcements
...2 Motivation
...3 ReviewRays
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Announcements
• MasteringPhysics• Review Chap 34 (reflection and refraction) and Chap 15 (waves).• Reading for next class:
• Chap. 34-1, 34-2.
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Announcements
• MasteringPhysics• Review Chap 34 (reflection and refraction) and Chap 15 (waves).• Reading for next class:
• Chap. 34-1, 34-2.
M. Bellis Fall 2011 PHYS 283 4 / 15
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Announcements
• MasteringPhysics• Review Chap 34 (reflection and refraction) and Chap 15 (waves).• Reading for next class:
• Chap. 34-1, 34-2.
M. Bellis Fall 2011 PHYS 283 4 / 15
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Soap bubble
Soap bubble[Gia08].M. Bellis Fall 2011 PHYS 283 5 / 15
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Rays
Relationship between rays and waves. Fig 15-20[Gia08]M. Bellis Fall 2011 PHYS 283 6 / 15
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Rays
Law of reflection: the angle of reflection equals theangle of incidence.
θr = θi
Figure: Fig. 15-21[Gia08]
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Rays
Law of refraction:sin(θ2)sin(θ1)
=v2v1
Why?
Figure: Fig. 15-28[Gia08]
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Principle of least action
Reflection minimizes distance traveled.
Verify this?
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Principle of least action
Refraction minimizes time traveled.
Verify this?
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Principle of least action
Interactions proceed along a path thatminimizes a property called the action.
Principle of least action
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Principle of least action
Classic problem of lifeguard choosing apath to the distressed swimmer.
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Rays
[Tra],[wik],[L.]
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Rays
[Tra],[wik],[L.]
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Rays
[Tra],[wik],[L.]
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RaysRay tracing
Main tool of the computer-generated imagry(CGI) industry.Most CGI use this technique with renderingfarms.Holy grail of the GPU/video game industry!Try it yourself!
• http://www.povray.org/• http://usa.autodesk.com/maya/
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Bibliography
Douglas C. Giancoli.Physics for Scientists and Engineers.4th edition, 2008.G. Hdepohl/ESO.http://www.eso.org/public/images/gerd_huedepohl_4/.
Greg L.http://en.wikipedia.org/wiki/File:Ray-traced_steel_balls.jpg.
NIST/JILA/CU-Boulder.http://patapsco.nist.gov/imagegallery/details.cfm?imageid=193.
Gilles Tran.http://en.wikipedia.org/wiki/File:Glasses_800_edit.png.
http://en.wikipedia.org/wiki/File:BallsRender.png.
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