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Exploring Traveling Waves: From Simple Motion to Three-Dimensional Encounters

Dive into the fascinating world of wave motion, from simple wave propagation to periodic waves in three dimensions. Learn about the Doppler Effect, energy propagation, intensity measures, reflections, refractions, and diffractions. Discover how waves interact with barriers and how harmonic waves can be analyzed using Fourier analysis. Explore the concepts of wavelength distortion and intensity levels in this comprehensive guide to wave phenomena.

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Exploring Traveling Waves: From Simple Motion to Three-Dimensional Encounters

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  1. 15 Traveling Waves • Hk: 25, 45, 55, 79. • Simple wave motion • Periodic waves • Waves in three dimensions • Waves encountering barriers • The Doppler Effect • (shock waves)

  2. Waves Propagate energy (not mass) Wave shape transverse longitudinal

  3. wave speed on string

  4. Regular and Sinusoidal

  5. watt/m2 Intensity measures the wave propagation energy arriving per second per square meter. Example: 100W of light are directed onto a 2x2 square meter surface. The intensity is 100W/4m2 = 25 W/m2.

  6. Reflection at more dense barrier.

  7. Reflection at less dense barrier.

  8. Diffraction (width ~ wavelength)

  9. Diffraction (width >> wavelength)

  10. summary • wave motion • intensity • harmonic waves • Reflection, refraction, diffraction • Doppler Effect

  11. Wavelength distortion due to receiver motion.

  12. periodic waves • repeats with regular period T. • A, max amplitude • Wavelength (λ) is the distance between any point on a periodic wave and the next point corresponding to the same portion of the wave.

  13. harmonic wave • sinusoidal • all periodic waves can be modeled by a sum of harmonic waves, e.g. fourier analysis • wave number, k • angular frequency, w

  14. Regular and Sinusoidal

  15. Intensity Level • is the intensity level in dB • of sound with intensity I • where is defined as the minimum audible intensity • intensity level is therefore comparative

  16. wavelength distortion due to source motion

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