C 1 0 0 example of light wave e e0 y coskx t plane

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Unformatted text preview: E = −(￿ × E0 ) sin(￿ · r − ω t) k￿ k Need: ￿ · E0 = ￿ · B0 = 0 k￿ k￿ ￿ 0 = ω −1￿ × E0 B k￿ ω = c|￿ | k Tuesday, November 12, 2013 ￿ ∂B ￿ ∇×E =− ∂t E and B are transverse to the wave velocity. √ c = 1/ µ0 ￿0 Example of light wave ￿ E = E0 y cos(kx − ω t) “plane wave” moving in ￿ E0 the + x direction. ￿= B z cos(kx − ω t) ￿ c Maxwell’s eqns. require vφ ≡ ω /k = c Light wave carries energy and momentum (recall the Poynting vector). It can also carry angular momentum. Light waves are created by accelerating charges. Tuesday, November 12, 2013 Light as E & M waves E.g. ￿ E = E0 y cos(kx − ω t) ￿ Frequency (equivalently wavelength) determines the color of the light. Amplitude of wave. Intensity (brightness) of the light, i.e. how much power it carries, is prop. to the square of the amplitude (similar to sound waves etc.). Tuesday, November 12, 2013 Light spectrum “What’s your favorite wavelength?” Tuesday, November 12, 2013 Aside: paint’s color comes from absorbing more light on opposite side of spectrum. Aside: color additi...
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This note was uploaded on 02/11/2014 for the course PHYSICS 2C taught by Professor Hicks during the Fall '09 term at UCSD.

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