chp39_1 - PHY2061 R. D. Field Relativistic Doppler Shift...

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PHY2061 R. D. Field Department of Physics chp39_1.doc University of Florida Relativistic Doppler Shift ( source moving away ) Consider a flashlight at rest in the O’-frame shinning its light in the &x’ direction. Since the O’-frame is at rest with the source of light f’ = f 0 , λ ’ = λ 0 , and T’ = T 0 , where f 0 , l 0 , and T 0 are the ±proper frequency² , ±proper wavelength² , and ±proper period² of the light. Let event A be the occurrence of wavefront 2 reaching the O-frame and let event B be the occurrence of wavefront 3 reaching the O-frame , etc. . A Frame O’ x’ ct’ cT 0 proper period at rest with light source B 1 3 2 x’=-V t’ 45 o Light Path O-frame Path c t’ A Frame O x ct B 1 3 2 45 o Light Path O’-frame Path
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