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Electromagnetic Waves and Polarization Physics 102:  Lecture 15
Today:  Electromagnetic Waves ,[object Object],[object Object],[object Object]
Preflight 15.1, 15.2 1 2 3 “ In order to find the loop that dectects the electromagnetic wave, we should find the loop that has the greatest flux through the loop.”   x z y E B loop in xy plane loop in xz plane loop in yz plane
 
Propagation of EM Waves ,[object Object],[object Object],[object Object],If you decrease E, you also decrease B! x z y This is important !
Preflight 15.4 Suppose that the electric field of an electromagnetic wave decreases in magnitude.  The magnetic field:        1  increases  2  decreases 3  remains the same E=cB
Energy in EM wave ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
 
Energy Density ,[object Object],Example
Energy Density ,[object Object],Use Example
Energy in EM wave ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
 
Intensity (I or S) = Power/Area ,[object Object],[object Object],[object Object],[object Object],[object Object],A L=ct ,[object Object],[object Object],[object Object],[object Object],[object Object],23 U = Energy u  = Energy Density (Energy/Volume) A = Cross section Area of light L = Length of box
Polarization ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],x z y
Linear Polarizers ,[object Object]
 
Unpolarized Light on  Linear Polarizer ,[object Object],[object Object],Always true for  unpolarized  light!
Linearly Polarized Light on Linear Polarizer (Law of Malus) ,[object Object],[object Object],    is the angle between the incoming light’s polarization, and the transmission axis  E Transmitted E absorbed =E incident cos(  ) TA Transmission axis Incident E
ACT/Preflight 15.6 Unpolarized light (like the light from the sun) passes through a polarizing sunglass (a linear polarizer).  The intensity of the light when it emerges is  ,[object Object],[object Object],[object Object],[object Object],[object Object]
 
ACT/Preflight 15.7 Now, horizontally polarized light passes through the same glasses (which are vertically polarized). The intensity of the light when it emerges is  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Law of Malus – 2 Polarizers Cool Link 1) Intensity of unpolarized light incident on linear polarizer is reduced by ½ .  S 1  = ½ S 0   S = S 0 S 1 S 2 2) Light transmitted through first polarizer is vertically polarized. Angle between it and second polarizer is   =90º.  S 2  = S 1  cos 2 (90º) = 0  Example
How do polaroid sunglasses work? incident light unpolarized reflected light partially polarized the sunglasses reduce the glare from reflected light
 
Law of Malus – 3 Polarizers 2) Light transmitted through first polarizer is vertically polarized. Angle between it and second polarizer is   =45º.  I 2  = I 1  cos 2  (45º) = ½ I 0  cos 2  (45º)  3) Light transmitted through second polarizer is polarized 45º from vertical. Angle between it and third polarizer is   =45º.   I 3  = I 2  cos 2  (45º) I 2 = I 1 cos 2 (45)   = ½ I 0  cos 4  (45º) = I 0 /8 I 1 = ½ I 0   Example
ACT: Law of Malus A B 1) S 2 A  > S 2 B  2) S 2 A  = S 2 B   3) S 2 A  < S 2 B S 1 = S 0 cos 2 (60) S 2 = S 1 cos 2 (30) = S 0  cos 2 (60)   cos 2 (30) S 1 = S 0 cos 2 (60) S 2 = S 1 cos 2 (60) = S 0  cos 4 (60) Cool Link E 0 E 0   TA TA S 1 S 2 S 0    TA TA S 1 S 2 S 0   
 

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Lect15 handout

  • 1. Electromagnetic Waves and Polarization Physics 102: Lecture 15
  • 2.
  • 3. Preflight 15.1, 15.2 1 2 3 “ In order to find the loop that dectects the electromagnetic wave, we should find the loop that has the greatest flux through the loop.” x z y E B loop in xy plane loop in xz plane loop in yz plane
  • 4.  
  • 5.
  • 6. Preflight 15.4 Suppose that the electric field of an electromagnetic wave decreases in magnitude. The magnetic field:        1 increases 2 decreases 3 remains the same E=cB
  • 7.
  • 8.  
  • 9.
  • 10.
  • 11.
  • 12.  
  • 13.
  • 14.
  • 15.
  • 16.  
  • 17.
  • 18.
  • 19.
  • 20.  
  • 21.
  • 22. Law of Malus – 2 Polarizers Cool Link 1) Intensity of unpolarized light incident on linear polarizer is reduced by ½ . S 1 = ½ S 0 S = S 0 S 1 S 2 2) Light transmitted through first polarizer is vertically polarized. Angle between it and second polarizer is  =90º. S 2 = S 1 cos 2 (90º) = 0 Example
  • 23. How do polaroid sunglasses work? incident light unpolarized reflected light partially polarized the sunglasses reduce the glare from reflected light
  • 24.  
  • 25. Law of Malus – 3 Polarizers 2) Light transmitted through first polarizer is vertically polarized. Angle between it and second polarizer is  =45º. I 2 = I 1 cos 2 (45º) = ½ I 0 cos 2 (45º) 3) Light transmitted through second polarizer is polarized 45º from vertical. Angle between it and third polarizer is  =45º. I 3 = I 2 cos 2 (45º) I 2 = I 1 cos 2 (45) = ½ I 0 cos 4 (45º) = I 0 /8 I 1 = ½ I 0 Example
  • 26. ACT: Law of Malus A B 1) S 2 A > S 2 B 2) S 2 A = S 2 B 3) S 2 A < S 2 B S 1 = S 0 cos 2 (60) S 2 = S 1 cos 2 (30) = S 0 cos 2 (60) cos 2 (30) S 1 = S 0 cos 2 (60) S 2 = S 1 cos 2 (60) = S 0 cos 4 (60) Cool Link E 0 E 0   TA TA S 1 S 2 S 0    TA TA S 1 S 2 S 0   
  • 27.  

Editor's Notes

  1. 1
  2. Note wavelength must be much large than loop size Radio waves: 3 meters Demo 158
  3. Note E=cB is only true for EM wave, not in general
  4. Again note energy density is same only for EM wave, not in general
  5. Again note energy density is same only for EM wave, not in general
  6. demo 324
  7. Demo
  8. Demo