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Physics III: Quantum Physics                               Modern Physics                               NIST/JILA/CU-Bould...
.                 PHYS 283    Fundamentals of Physics III: Quantum                  Physics                            Lec...
Outline.1 Announcements.2 Motivation.3 Review    Rays                            .   .   .   .     .    .    M. Bellis   F...
Announcements  •    MasteringPhysics  •    Review Chap 34 (reflection and refraction) and Chap 15 (waves).  •    Reading fo...
Announcements  •    MasteringPhysics  •    Review Chap 34 (reflection and refraction) and Chap 15 (waves).  •    Reading fo...
Announcements  •    MasteringPhysics  •    Review Chap 34 (reflection and refraction) and Chap 15 (waves).  •    Reading fo...
Soap bubbleSoap bubble[Gia08].          .   .   .   .     .    .     M. Bellis   Fall 2011               PHYS 283   5 / 15
RaysRelationship between rays and waves. Fig 15-20[Gia08]   .   .   .   .     .    .       M. Bellis   Fall 2011          ...
Rays Law of reflection: the angle of reflection equals the                  angle of incidence.                             ...
Rays           Law of refraction:                   sin(θ2 ) v2                           =                   sin(θ1 ) v1 ...
Principle of least actionReflection minimizes distance traveled.Verify this?                            .   .   .   .     ....
Principle of least actionRefraction minimizes time traveled.Verify this?                            .   .   .    .    .   ...
Principle of least actionInteractions proceed along a path thatminimizes a property called the action.Principle of least a...
Principle of least actionClassic problem of lifeguard choosing apath to the distressed swimmer.                           ...
Rays                                           [Tra],[wik],[L.]                               .   .   .       .      .    ...
Rays                                                 [Tra],[wik],[L                               .   .   .    .    .     ...
Rays                                           [Tra],[wik],[L.]                               .   .   .       .      .    ...
Rays                               Ray tracing                               Main tool of the computer-generated imagry   ...
Bibliography    Douglas C. Giancoli.    Physics for Scientists and Engineers.    4th edition, 2008.    G. Hdepohl/ESO.    ...
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Lecture 2 slides

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Lecture notes for a Modern Physics course using Giancoli.

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Lecture 2 slides

  1. 1. Physics III: Quantum Physics Modern Physics NIST/JILA/CU-Boulder[NB]G. H¨depohl/ESO[Hde] o . . . . . . M. Bellis Fall 2011 PHYS 283 1 / 15
  2. 2. . PHYS 283 Fundamentals of Physics III: Quantum Physics Lecture 1: Review of rays. M. Bellis Department of Physics Northern Illinois University February 15, 2012 . . . . . . M. Bellis Fall 2011 PHYS 283 2 / 15
  3. 3. Outline.1 Announcements.2 Motivation.3 Review Rays . . . . . . M. Bellis Fall 2011 PHYS 283 3 / 15
  4. 4. 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
  5. 5. 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
  6. 6. 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
  7. 7. Soap bubbleSoap bubble[Gia08]. . . . . . . M. Bellis Fall 2011 PHYS 283 5 / 15
  8. 8. RaysRelationship between rays and waves. Fig 15-20[Gia08] . . . . . . M. Bellis Fall 2011 PHYS 283 6 / 15
  9. 9. Rays Law of reflection: the angle of reflection equals the angle of incidence. θr = θi Figure: Fig. 15-21[Gia08] . . . . . . M. Bellis Fall 2011 PHYS 283 7 / 15
  10. 10. Rays Law of refraction: sin(θ2 ) v2 = sin(θ1 ) v1 Why? Figure: Fig. 15-28[Gia08] . . . . . . M. Bellis Fall 2011 PHYS 283 8 / 15
  11. 11. Principle of least actionReflection minimizes distance traveled.Verify this? . . . . . . M. Bellis Fall 2011 PHYS 283 9 / 15
  12. 12. Principle of least actionRefraction minimizes time traveled.Verify this? . . . . . . M. Bellis Fall 2011 PHYS 283 10 / 15
  13. 13. Principle of least actionInteractions proceed along a path thatminimizes a property called the action.Principle of least action . . . . . . M. Bellis Fall 2011 PHYS 283 11 / 15
  14. 14. Principle of least actionClassic problem of lifeguard choosing apath to the distressed swimmer. . . . . . . M. Bellis Fall 2011 PHYS 283 12 / 15
  15. 15. Rays [Tra],[wik],[L.] . . . . . . M. Bellis Fall 2011 PHYS 283 13 / 15
  16. 16. Rays [Tra],[wik],[L . . . . . . M. Bellis Fall 2011 PHYS 283 13 / 15
  17. 17. Rays [Tra],[wik],[L.] . . . . . . M. Bellis Fall 2011 PHYS 283 13 / 15
  18. 18. Rays Ray tracing Main tool of the computer-generated imagry (CGI) industry. Most CGI use this technique with rendering farms. Holy grail of the GPU/video game industry! Try it yourself! • http://www.povray.org/ • http://usa.autodesk.com/maya/ . . . . . . M. Bellis Fall 2011 PHYS 283 14 / 15
  19. 19. 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. . . . . . . M. Bellis Fall 2011 PHYS 283 15 / 15

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