Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics (
physics ) Ameasure of the number ofwaves in unitdistance ;inversely proportional to itswavelength
Etymologies
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Examples
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The use of the term "wavenumber" seems needlessly confusing - you have to define it in terms of the more familiar "wavelength" anyway, so maybe it's worth getting a plot that uses wavelength on the x-axis.
Another Try EliRabett 2010
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The velocity v of a harmonic wave is directly related to the angular frequency ω of the wave and its wavenumber k, in the form
Optics basics: Defining the velocity of a wave « Skulls in the Stars 2008
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Dispersion is characterized mathematically by what is called a dispersion relation, a functional relationship between the frequency of a wave and its wavenumber in the medium, i.e. ω = ω (k).
Optics basics: Defining the velocity of a wave « Skulls in the Stars 2008
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The phase velocity dealt with the ratio of the center frequency of the wave to the center wavenumber of the wave, while the group velocity deals with the ratio of the range of frequencies in the wave to the range of wavenumbers in the wave.
Optics basics: Defining the velocity of a wave « Skulls in the Stars 2008
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We may also define two other related quantities, the wavenumber k = 2π/λ and angular frequency ω = 2πν.
Optics basics: What is a wave? Part IV: Important quantities « Skulls in the Stars 2007
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My understanding is that the part of the IR spectrum of interest runs from a wavenumber of say 200 to 1500.
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Theoretically, this should decrease temperature, not increase it because you have shifted the emission lines away from the absorption wavenumber, thus opening a window for emission all the way out of the atmosphere.
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What this does is to shift the emission spectra up and down in wavelength, but only by a very small fraction of a wavenumber, thus putting the shifted emission lines between the primary emission lines.
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My first round calculation with 0.5/cm wavenumber rectangular intervals shows almost complete saturation at 70 ppmv CO2, with 45% transmission and mostly saturated at 30ppmv.
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N is the Brunt-Vaisala frequency that depends on stratification, k is the horizontal wavenumber inversely proportional to wavelength
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