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Topic: Wavenumbers

	[No title] (Site not responding. Last check: 2007-10-08)
		Wavenumbers k[i] selected for the random number test(s): K = 10 1 K = 2 2 K = 15 3 The equation passed the random number test(s) for the existence of a 3 soliton solution.
		Wavenumbers k[i] selected for the random number test(s): K = 3 1 K = 6 2 K = 11 3 K = 16 4 The equation passed the random number test(s) for the existence of a 4 soliton solution.
		Wavenumbers k[i] selected for the random number test(s): K = 12 1 K = 17 2 K = 4 3 K = 15 4 The equation passed the random number test(s) for the existence of a 4 soliton solution.
	www.mines.edu /fs_home/whereman/software/hirota/h_kdv.out (465 words)

	wavenumber (Site not responding. Last check: 2007-10-08)
		Wavenumber in most physical sciences is a wave property inversely related to wavelength, having units of inverse length.
		The wavenumber is closely related to the concept of the wave vector.
		Wavenumber in atmospheric science is defined as wavelength divided by the length of the spatial domain, or equivalently the number of times a wave has the same phase over the spatial domain.
	en.mcfly.org /wavenumber (302 words)

	List of Figures
		for wavenumber 3, 4, 5, and 6 disturbances.
		Wavenumber and growth rate of instabilities as a function of radius ratio and angular velocity ratio for the three region model.
		Wavenumbers 3 through 9 are indicated and calculations were made for all wavenumbers less than 16.
	laps.fsl.noaa.gov /~jedwards/thesis/listoffigures.html (415 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		Wavenumbers k[i] selected for the random number test(s): K = 8 1 K = 3 2 K = 12 3 The equation passed the random number test(s) for the existence of a 3 soliton solution.
		Wavenumbers k[i] selected for the random number test(s): K = 4 1 K = 6 2 K = 12 3 K = 14 4 The equation passed the random number test(s) for the existence of a 4 soliton solution.
		Wavenumbers k[i] selected for the random number test(s): K = 14 1 K = 12 2 K = 6 3 K = 3 4 The equation passed the random number test(s) for the existence of a 4 soliton solution.
	www.mines.edu /fs_home/whereman/software/hirota/h_sk.out (452 words)

	Superposition Principle
		Thus, while the wavenumber of the resultant wave seems to be related to something like the average of the wavenumbers of the component waves, the spacing between regions of maximum wave amplitude appears to go inversely with the difference of the wavenumbers of the component waves.
		is called the wavenumber spread of the wave packet, and it evidently plays a role similar to the difference in wavenumbers in the superposition of two sine waves -- the larger the wavenumber spread, the smaller the physical size of the wave packet.
		Furthermore, the wavenumber of the oscillations within the wave packet is given approximately by the central wavenumber.
	www.physics.nmt.edu /~raymond/classes/ph13xbook/node10.html (843 words)

	TIME-FREQUENCY ANALYSIS RESULTS AND DISCUSSION
		This choice indeed allows us to work at a high wavenumber resolution, with an uncertainty of ±0.008 cycles/m, which means a mean error of ~10%, as well as to distinguish the main limits in depth due to the attenuation of the wavenumber modulus amplitude.
		The occurrence of the fundamental Milankovitch periods is greatly dependent on the sedimentation rate, as illustrated in Figure F10A; the wavenumbers corresponding to the 20-k.y.
		As mentioned in the previous section, the wavenumbers appear to be smeared because of the high wavenumber resolution.
	www-odp.tamu.edu /publications/178_SR/chap_32/c32_6.htm (3552 words)

	[62.03] Unique Spectral features in Mars Global Surveyor Thermal Emission Spectra: Implications for Surface Mineralogy ... (Site not responding. Last check: 2007-10-08)
		One has a local maximum in emissivity at 451 wavenumbers (22.1 micron) with a corresponding minimum at 408 wavenumbers (24.4 micron).
		A doublet complex occurs between the Christiansen frequencies with minima at 340 wavenumbers (29.4 micron) and 358 wavenumbers (27.8 micron) and a maximum at 377 wavenumbers (26.5 micron).
		Furthermore, the TES data in the area exhibit a band at 943 wavenumbers (10.6 micron).
	www.aas.org /publications/baas/v32n3/dps2000/332.htm (326 words)

	Generalized barotropic models on isentropic levels (Site not responding. Last check: 2007-10-08)
		The effective squared wavenumber computed using data from 1994 and 1995 on the 350 K isentropic level is shown in Figure 5.1.
		Contours are shown at variable intervals with values equal to the standard barotropic squared wavenumber.
		The zonal mean wavenumber appears to be distinctly different from the other zonal wavenumbers (see Figure 5.1) and exhibits notable irregularity.
	www.atmos.uiuc.edu /~mitas/thesisProposal/node16.html (715 words)

	27.1.1 fourfil
		Any vector which is filtered must first remove the wavenumber which is due to the changing direction of a latitude circle.
		After the filtering operation, this wavenumber one due to the changing direction of the latitude circle must be put back.
		The reason is that truncation wavenumber is a function of strip length and not total distance around the latitude circle.
	www.gfdl.noaa.gov /~smg/MOM/web/guide_parent/s7node68.html (751 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		The left column is the frequency in wavenumbers.
		Hibsynmerge.txt is tab delimited text of the merged spectra of synthetic hibonite in Figure 3c.
		Corsynmerge.txt is tab delimited text of the merged spectra of synthetic corundum in Figure 3d.
	epsc.wustl.edu /~hofmeist/spectra/CalciumAluminates (400 words)

	Experimental Investigation of Acceleration and Velocity Fields in Turbulent Channel Flow (Site not responding. Last check: 2007-10-08)
		At low wavenumbers (large spatial scales), the bulk convective-derivative and velocity time-derivative spectra coincide with one another, implying that the velocity time derivative of the larger scales is dominated by evolution rather than convection.
		Further, this wavenumber is coincident with the streamwise spacing of the spanwise vortices that are the building blocks of the outer-layer vortex organization noted earlier.
		Therefore, the energy peak in the velocity time-derivative spectra at moderate wavenumbers can also be considered a statistical imprint of the true structure of the flow in the same spirit as the imprints left within the velocity statistics.
	ltcf.tam.uiuc.edu /Publications/2001/Chr01.html (564 words)

	Wavenumber Calibration QA Standard
		The material of the standard is a wavenumber calibration device that has been improved in several respects over those available in the UK prior to 1992.
		The NPL wavenumber calibration transfer standard has been introduced to allow routine checking of the wavenumber scales of mid-infrared spectrophotometers for Quality Assurance purposes.
		Prior to July 1992 NPL was unwilling to calibrate the polystyrene films that were procurable, which were conventional films with glossy surfaces and were 50 µm or more in thickness: the IUPAC reference data refer to a film of 70 µm for most of the absorption peaks cited.
	www.npl.co.uk /optical_radiation/infrared_spectrometry/cetmh095.html (642 words)

	Heisenberg Uncertainty Principle
		This is because a small wave packet, which corresponds to accurate knowledge of the corresponding particle's position, implies the superposition of plane waves corresponding to a broad distribution of wavenumbers.
		This translates into a large uncertainty in the wavenumber, and hence the momentum of the particle.
		In contrast, a broad wave packet corresponds to a narrower distribution of wavenumbers, and correspondingly less uncertainty in the momentum.
	www.physics.nmt.edu /~raymond/classes/ph13xbook/node77.html (575 words)

	Analysis of hurricane inner core data
		Since the velocity and not the vorticity was sampled, in the case of the idealized profiles, we should not expect the vorticity profile to reproduce exactly that given by the corresponding equations.
		The exception to this is the modified Rankine profile which often produces high wavenumber results, this is probably due to the discontinuity of basic state vorticity at the radius of maximum winds in this profile.
		The largest number of cases in the raw data occurred in wavenumbers two and three, while the mean most unstable mode was in wavenumber five.
	laps.fsl.noaa.gov /~jedwards/thesis/section3_2.html (840 words)

	Re: TKE SPECTRUM & DISSIPATION
		The primary requirement in a DNS is to resolve the viscous dissipation at the small scale (high wavenumbers).
		Also the numerical (artificial) dissipation should be minimal (i.e., small compared to the viscous dissipation at all wavenumbers) and all dissipation should be due to the viscous term only.
		If the energy does not accumulate at high wavenumbers even after the viscosity is reduced a lot, you code is too dissipative for DNS or LES.
	www.cfd-online.com /Forum/main_archive_2001.cgi?read=15483 (387 words)

	enquiries.htm
		The formats used in several atlases are linear %T vs linear wavenumber, usually from 4000 to 400 wavenumber, with a 2x scale expansion of the fingerprint region below 2000 wavenumbers, with grids having grid pitches of about 100 wavenumbers per 6 to 8 mm below 2000 wavenumber (compared to yours of 100 wavenumbers per 10mm).
		For close-ups of small wavenumber ranges (usually of a particular band or cluster of bands), no changes in scale expansion should be used, or are needed.
		I think the spectra in the paper, Non-destructive identification of minerals by Raman microscopy by Ray Frost, Theo Kloprogge, and Jolene Schmidt, which preceded yours in the same IJVS demonstrates perfectly the point that a grid is essential.
	www.ijvs.com /volume3/edition5/enquiries.html (3068 words)

	Abtract 24 (Site not responding. Last check: 2007-10-08)
		Data from very high horizontal resolution simulations with the Geophysical Fluid Dynamics Laboratory SKYHI general circulation model are used to calculate the kinetic energy spectrum as a function of horizontal wavenumber, k, in the upper troposphere.
		Partitioning of the flow between rotational and divergent components shows that the rotational part dominates at large scales and that there is approximate equipartition between rotational and divergent parts at mesoscales.
		Analysis of the parameterized kinetic energy dissipation shows that vertical diffusion dominates horizontal diffusion for a wide range of wavenumbers extending well into the -5/3 regime.
	www.soest.hawaii.edu /~kph/abs30.html (181 words)

	Nat' Academies Press, Proceedings of the Sixth International Conference on Numerical Ship Hydrodynamics (1994)
		The energy density and the wavenumbers are normalized using Kolmogorov units.
		The poorer agreement of the second spectral simulation at the lower wavenumbers may be attributed to the forcing.
		However, considering that this slight discrepancy is occuring at the Nyquist wavenumbers, the excellent agreement of both finite-difference codes with the experimental data is remarkable.
	www.nap.edu /openbook/NI000061/html/252.html (772 words)

	e-Prints Soton - Internal gravity wave frequencies and wavenumbers from single point measurements over a slope
		The analysis assumes that, over the periods of time in which estimates are made, the local mean buoyancy frequency, N, and temperature gradient are uniform, and the bottom slope, α, is constant over the scale of the observed waves and is known.
		It is further assumed that, during short periods of analysis, the internal wave field is dominated by waves having a single wavenumber vector at each frequency.
		The estimated values may be used to test assumptions of small wave steepness and the uniformity of buoyancy frequency over the vertical scale of the waves. Problems of application are revealed by using the analysis on data collected from a mooring located within the hyperlimnion on the sloping side of Lake Geneva.
	eprints.soton.ac.uk /2063 (453 words)

	Three region model
		The transition from one wavenumber to the next occurs at the ``V'' in the contour.
		Keeping in mind that these results are for the three region model only, we can observe from this figure that the upper bound described by the semicircle theorem becomes a better approximation as the wavenumber of the instability increases.
		We should also note that, strictly speaking, the semicircle theorem as presented in section 2.1.2 is not valid for this problem since in 2.1.2 we implicitly assumed that the vorticity profile was smooth while here we allow discontinuities in that profile.
	laps.fsl.noaa.gov /~jedwards/thesis/section3_1.html (510 words)

	Péridier Library Abstract Archive (Site not responding. Last check: 2007-10-08)
		We present accurate new wavenumbers for a set of 13 mid-infrared fine-structure lines.
		The wavenumbers were determined from observations of the planetary nebula NGC 7027 and of the red supergiant Alpha Scorpii.
		Most of the new wavenumbers are good to within 0.0025%, or 8 km/s.
	www.as.utexas.edu /templates/332.html (110 words)

	Intermolecular Interactions in Dry and Rehydrated Pure and Mixed Bilayers of Phosphatidylcholine and ...
		wavenumbers, the gradual increase in the vibrational mode of
		The temperature dependence of the wavenumbers of the symmetric
		in the dry state the P=O peak is shifted by 14 wavenumbers downfield.
	www.biophysj.org /cgi/content/full/85/3/1682 (4819 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		As the interior of stars is not directly observable, accurate information is gathered from stellar oscillations which penetrate deep inside the star and whose behaviour is uniquely determined by the properties of the overall stellar structure.
		It is of utmost importance to identify with accuracy the pulsational frequencies and wavenumbers of the pulsation modes.
		This study is part of a systematic long-term project of line-profile variable B stars in close binary systems, with the aim to search for tidally induced oscillations.
	www.astro.soton.ac.uk /~andrea/katrien.html (157 words)

	1991092 Apparatus and Methods for Measuring Permeability and Conductivity in Materials using Mul (Site not responding. Last check: 2007-10-08)
		Devices and analytical techniques are disclosed for measuring spatial profiles of complex premeability and conductivity of a material by multiple wavenumber interrogations.
		Coil array structures are disclosed which define a number of different fundamental wavelengths (or wavenumbers).
		Spatially periodic interrogation signals (of temporal frequency "w") from the coil array structures are attenuated by varying degrees in the material undergoing analysis, depending on the wavenumber ("k"), therby permitting the derivation of composite complex permeability/conductivity profile.
	www.shotpeener.com /library/spc/1991092.htm (113 words)

	ECMWF
		The scale and direction of the reference wavenumber are allowed to vary continuously in wavenumber space.
		The simplified nonlinear operator is computed by applying the same symmetrical integration method as is used to integrate the exact transfer integral (see also Hasselmann and Hasselmann, 1985), except that the integration is taken over a two-dimensional continuum and two discrete interactions instead of five-dimensional interaction phase space.
		is obtained by summing equation (3.20) over all wavenumbers, directions and interaction configurations.
	www.ecmwf.int /research/ifsdocs/CY28r1/Waves/Waves-4-4.html (581 words)

	Atomic Spectroscopy: An Introduction (Site not responding. Last check: 2007-10-08)
		These wavelengths can be related to energy-level differences by conversion to the corresponding (vacuum) wavenumbers or frequencies [19].
		Extensive tables of wavenumbers for molecular transitions in the mid-ir range 2.3 µm to 20.5 µm are included in a calibration atlas published in 1991 [21].
		Wavelengths for about 3000 vuv and uv lines (110 to 400 nm) from a Pt/Ne hollow-cathode lamp have been determined with uncertainties of 0.0002 nm or less [29].
	physics.nist.gov /Pubs/AtSpec/node15.html (378 words)

	HudsonLab: [2.2]Paracyclophane
		The spectrum from 40 wavenumbers to 325 wavenumbers was taken with a polycrystalline graphite monochromator, and the spectrum from 200 wavenumbers to 1200 wavenumbers was taken using a copper monochromator.
		The vibrations seen in the IR/Raman spectra are also seen in the INS spectrum, however many vibrations unseen in the other spectra are clearly seen in the INS spectrum.
		It should be noted that the peaks below 100 wavenumbers are due to spectrometer artifacts and are not to be considered real intensity.
	hudsonlab.syr.edu /paracyclophane.html (956 words)

	Harrick - Frequently Asked Questions
		Having units of cm-1, the wavenumber is the number of waves in 1cm (and is, hence, proportional to frequency).
		In an FTIR spectrometer the quantity measured is not the the light intensity as a function of wavenumber (frequency, wavelength) but the Fourier transform of that quantity.
		Furthermore, in the transmittance equations, the wavenumber is an explicit factor, distorting the result of the absorbance transform by artificially enhancing it at shorter wavelengths (i.e.
	www.harricksci.com /infoserver/FAQs/faqs.cfm (7344 words)

	PSIgate - Physical Sciences Information Gateway: Search/Browse Results (Site not responding. Last check: 2007-10-08)
		Wavenumbers above 50000 cm -1 are given in vacuum; wavenumbers below 50000 cm -1 are given in air.
		In the context of infra red spectroscopy, wavelength is measured in "wavenumbers", which have the units cm -1.
		The dimension of band width should be either inverse length (wavenumbers) or inverse ti...
	www.psigate.ac.uk /roads/cgi-bin/search_webcatalogue.pl?term1=wavenumbers&limit=0 (282 words)

	Rydberg-Ritz combination principle (Site not responding. Last check: 2007-10-08)
		The Rydberg-Ritz combination principle (Rydberg 1890, Ritz 1908) states that it is possible to find pairs of spectral lines, which have the property that the sum of their wavenumbers is also an observed spectral line.
		This principle becomes is obvious when we know that spectra are due to transitions between energy levels.
		Energy is conserved, E=hf, so the two frequencies (wavenumbers) of the latter route add to the frequency of the first route.
	w3.msi.vxu.se /~pku/Rydberg/RydbergRitz.html (115 words)

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