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**Unformatted text preview: **Chapter 33: Electromagnetic Waves Wednesday, August 1, 2007 Outline I Electromagnetic Waves I Characteristics of Traveling Light I EM Wave Fun I Speed of Light I Energy Transport & The Poynting Vector I Radiation Pressure I Polarization of Light I Polarization and Intensity I Problems I Optics I Refraction & Reflection I Snell’s Law I Checkpoint #5 I Total Internal Reflection I Polarization by Reflection I Problems Electromagnetic Waves Light is a traveling wave of electric and magnetic fields ( electromagnetic wave ). Characteristics of Traveling Light E = E m sin( kx- ω t ) B = B m sin( kx- ω t ) I ~ E , ~ B perpendicular to the direction of propagation I ~ E is perpendicular to ~ B I ~ E × ~ B gives the direction of wave travel I ~ E , ~ B vary sinusoidally (transverse wave) I ~ E and ~ B are in phase I Speed of wave: c = ω k Loading waveanim.mpg EM Wave Fun Each field creates the other. We see this from Maxwell’s and Faraday’s Laws of Induction: I ~ E · d ~ s =- d Φ B dt I ~ B · d ~ s = μ 0 0 d Φ E dt + μ i encl I As the wave moves through the rectangle, Φ B changes, resulting in an induced ~ E in the rectangle. I When ~ B passes through the rectangle, it decreases, leading to a decrease in Φ B which produces an induced ~ E , which, in turn, produces ~ B . Speed of Light Looking at: dE dx =- dB dt I When evaluating dE dx , we must assume t is constant....

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