PHYS 422 Lecture 3 Wave Motion II

PHYS 422 Lecture 3 Wave Motion II - Chapter Chapter 2 Wave...

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hapter 2 Chapter 2 ave Motion II Wave Motion II
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Harmonic Waves: Summary Functional shape: Wave parameters: ) ( sin t x k A v = ψ k - propagation number λ - wavelength - eriod lternative forms: “-” for wave moving right “+” for wave moving left τ period ν - frequency ω - angular temporal frequency κ - wave number Alternative forms: = π t x A 2 sin 2 = k v τ= () [] t x A 2 sin = mostly used 1 = νλ = v t kx A sin = x πν 2 2 = 1 = t A v 2 sin These equations describe an infinite, monochromatic (monoenergetic) wave. single frequency Real waves are not infinite and can be described by a superposition of harmonic waves. If the frequencies of these waves cluster around a single frequency (i.e. form a narrow band) the wave is called quasimonochromatic.
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Periodic Waves Waveform produced by saxophone: profile-elements - when repeated an reproduce the whole waveform can reproduce the whole waveform an use the same parameters to describe: λ - wavelength - the length of one profile-element τ - period - the duration in time for one profile-element Can use the same parameters to describe: κ - wave number - number of profile-elements per unit length -etc…
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Harmonic Waves: example 1. Write an equation of a “red” light wave that propagates along x axis (at speed of light c ) and has a wavelength of λ =600 nm.
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PHYS 422 Lecture 3 Wave Motion II - Chapter Chapter 2 Wave...

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