Journal articles: 'Voigt'

1

Voigt, Kristin. "Voigt Responds." American Journal of Public Health 106, no. 3 (March 2016): 569–70. http://dx.doi.org/10.2105/ajph.2015.303029.

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2

Voigt, Mario. "Interview Voigt." Zeitschrift für Politikberatung 1, no. 3-4 (October 2008): 623–25. http://dx.doi.org/10.1007/s12392-008-0066-2.

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3

Hupfer, Peter, and H. J. Brosin. "In Memoriam Klaus Voigt." Meteorologische Zeitschrift 4, no. 5 (November 8, 1995): 229. http://dx.doi.org/10.1127/metz/4/1995/229.

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4

Ida, T., M. Ando, and H. Toraya. "Extended pseudo-Voigt function for approximating the Voigt profile." Journal of Applied Crystallography 33, no. 6 (December 1, 2000): 1311–16. http://dx.doi.org/10.1107/s0021889800010219.

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The formula of the pseudo-Voigt function expressed by a weighted sum of Gaussian and Lorentzian functions is extended by adding two other types of peak functions in order to improve the accuracy when approximating the Voigt profile. The full width at half-maximum (FWHM) values and mixing parameters of the Gaussian, the Lorentzian and the other two component functions in the extended formula can be approximated by polynomials of a parameter ρ = ΓL/(ΓG+ ΓL), where ΓGand ΓLare the FWHM values of the deconvoluted Gaussian and Lorentzian functions, respectively. The maximum deviation of the extended pseudo-Voigt function from the Voigt profile is within 0.12% relative to the peak height when sixth-order polynomial expansions are used. The systematic errors of the integrated intensity ΓGand ΓL, estimated by fitting the extended formula to Voigt profiles, are typically less than 1/10 of the errors arising from the application of the original formula of the pseudo-Voigt approximation proposed by Thompsonet al.[J. Appl. Cryst.(1987),20, 79–83], while the time required for computation of the extended formula is only about 2.5 relative to the computation time required for the original formula.

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5

Shadiow, Linda K. "Recommended: Cynthia Voigt." English Journal 76, no. 4 (April 1987): 71. http://dx.doi.org/10.2307/818461.

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6

Wang, Hejing, and Jian Zhou. "Numerical conversion between the Pearson VII and pseudo-Voigt functions." Journal of Applied Crystallography 38, no. 5 (September 15, 2005): 830–32. http://dx.doi.org/10.1107/s0021889805024490.

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The shape coefficient of a curve, which is defined as the ratio of its full width at half-maximum intensity to integral width, is a measure of variation in shape. From the definitions of the pseudo-Voigt, Pearson VII and Voigt functions used in X-ray diffractometry, three shape-converting formulae are deduced. Numerical solution helps to establish a numerical model for interconverting the shapes of the pseudo-Voigt, Pearson VII and Voigt functions. Assessment of the error level and some comments on the shape of the pseudo-Voigt and Pearson VII functions are thereby made.

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Erofeev, Vladimir T., Aleksej S. Tyuryakhin, and Tatyana P. Tyuryakhina. "Multitudes of Voigt - Reuss forks and Voigt - Christensen - Reuss tridents." Structural Mechanics of Engineering Constructions and Buildings 16, no. 5 (December 15, 2020): 323–33. http://dx.doi.org/10.22363/1815-5235-2020-16-5-323-333.

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In the literature, there are many studies of the representative volume of a composite material, in particular, those calculated using the formulas of Christensen, Voigt and Reiss. The aim of this work is to study the features of evaluating the set of forks of effective modules. Methods. On the basis of solving the Lame problem (for a thick-walled sphere), a spherical model of a representative volume (cell) of a composite material with a granular (spherical) filler is compiled and the value of the effective modulus of elasticity of a two-phase composite is determined. The study of the obtained formula for the effective modulus, expressed in dimensionless quantities, for the cell material revealed its identity with the R.M. Christensens formula, expressed in dimensional values, for the bulk modulus of composites with a spherical filler. In this case, Christensens solution was previously obtained by a different method when he considered the polydisperse model of the composite. The dimensionless form of the function (effective module) of three dimensionless parameters made it possible in flat spaces (two coordinate planes) to construct graphical images of the function of the named modules according to Christensen, which are compared and combined in one figure with similar images of the functions of estimating the values of the modules (real composites) according to Voigt and Reiss. Graphical studies in relation to the spherical representative volume model show that in the flat space of the set of Voigt - Reuss forks, these forks are not narrowed, but they are partially filled by the flat space of the set of Christensen - Reiss forks. The graphs of the functions of the modules, at the same time, form, simultaneously with the sets of two-toothed forks, a set of Voigt - Christensen - Reiss trident forks (tridents), which, depending on the size of the intervals of the numbers of the studied parameters, have forks of different sizes. Results. Graphic illustrations of numerical examples have been obtained showing that for given values of the module of the matrix and filler and the volume fraction of the latter, it is possible to determine the effective volumetric module and shear module of two-phase composites, and to perform a comparison with the conclusions of the applied plan. The dimensionless form of the obtained expressions makes it possible to solve the inverse problems of the mechanics of polydisperse composites, for example, to determine the volume module of the composite components by the effective modulus obtained by mechanical testing of standard samples.

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8

Lynas-Gray, A. E. "VOIGTL — a fast subroutine for Voigt function evaluation on vector processors." Computer Physics Communications 75, no. 1-2 (April 1993): 135–42. http://dx.doi.org/10.1016/0010-4655(93)90171-8.

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9

Zhang, Jie, and Christopher M. Richards. "Dynamic Analysis and Parameter Identification of a Single Mass Elastomeric Isolation System Using a Maxwell-Voigt Model." Journal of Vibration and Acoustics 128, no. 6 (April 28, 2006): 713–21. http://dx.doi.org/10.1115/1.2345676.

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Dynamic analysis and parameter identification of a single mass elastomeric isolation system represented by a Maxwell-Voigt model is examined. Influences that the stiffness and damping values of the Maxwell element have on natural frequency, damping ratio, and frequency response are uncovered and three unique categories of Maxwell-type elements are defined. It is also shown that Voigt and Maxwell-Voigt models with equivalent natural frequencies and damping ratios can have considerably different frequency response spectra. Lastly, a parameter identification method is developed for identifying Maxwell-Voigt models from frequency response spectra. The method is based on constant natural frequency and damping ratio curves generated from modal analysis of potential Maxwell-Voigt models.

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10

Baizar, Davor, and Hassel Ledbetter. "Accurate Modeling of Size and Strain Broadening in the Rietveld Refinement: The “Double-Voigt” Approach." Advances in X-ray Analysis 38 (1994): 397–404. http://dx.doi.org/10.1154/s0376030800018048.

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In the “double-Voigt” approach, an exact Voigt function describes both size- and strainbroadened profiles. The lattice strain is defined in terms of physically credible mean-square strain averageid over a distance in the diffracting domains. Analysis of Fourier coefficients in a harmonic approximation for strain coefficients leads to the Warren-Averbach method for the separation of size and strain contributions to diffraction line broadening. The model is introduced in the Rietveld refinement program in the foliowing way: Line widths are modeled with only four parameters in the isotropic case. Varied parameters are both surface- and volumeweighted domain sizes and root-mean-square strains averaged over two distances. Refined parameters determine the physically broadened Voigt line profile. Instrumental Voigt line profile parameters are added to obtain the observed (Voigt) line profile. To speed computation, the corresponding pseudo-Voigt function is calculated and used as a fitting function in refinement. This approach allows for both fast computer code and accurate modeling in terms of physically identifiable parameters.

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11

Ectors, D., F. Goetz-Neunhoeffer, and J. Neubauer. "Domain size anisotropy in the double-Voigt approach: an extended model." Journal of Applied Crystallography 48, no. 6 (October 30, 2015): 1998–2001. http://dx.doi.org/10.1107/s1600576715018488.

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An efficient geometric approach to refine anisotropic domain morphology in the double-Voigt approach based on the variance-slope apparent crystallite size was recently described. In this way, the Lorentzian part of the Voigt size contribution can be directly linked to an effective area- or surface-weighted morphology. The size contribution in the Voigt approach is, however, rarely pure Lorentzian. In this article, the previously considered models are extended for the Gaussian part of the size broadening, also taking into account size distributions. The limits of the validity of the Voigt approach are also discussed.

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12

Mendonca, Joseph, Kimberly Strong, Debra Wunch, Geoffrey C. Toon, David A. Long, Joseph T. Hodges, Vincent T. Sironneau, and Jonathan E. Franklin. "Using a speed-dependent Voigt line shape to retrieve O<sub>2</sub> from Total Carbon Column Observing Network solar spectra to improve measurements of XCO<sub>2</sub>." Atmospheric Measurement Techniques 12, no. 1 (January 3, 2019): 35–50. http://dx.doi.org/10.5194/amt-12-35-2019.

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Abstract. High-resolution, laboratory, absorption spectra of the a1Δg←X3Σg- oxygen (O2) band measured using cavity ring-down spectroscopy were fitted using the Voigt and speed-dependent Voigt line shapes. We found that the speed-dependent Voigt line shape was better able to model the measured absorption coefficients than the Voigt line shape. We used these line shape models to calculate absorption coefficients to retrieve atmospheric total columns abundances of O2 from ground-based spectra from four Fourier transform spectrometers that are a part of the Total Carbon Column Observing Network (TCCON). Lower O2 total columns were retrieved with the speed-dependent Voigt line shape, and the difference between the total columns retrieved using the Voigt and speed-dependent Voigt line shapes increased as a function of solar zenith angle. Previous work has shown that carbon dioxide (CO2) total columns are better retrieved using a speed-dependent Voigt line shape with line mixing. The column-averaged dry-air mole fraction of CO2 (XCO2) was calculated using the ratio between the columns of CO2 and O2 retrieved (from the same spectra) with both line shapes from measurements taken over a 1-year period at the four sites. The inclusion of speed dependence in the O2 retrievals significantly reduces the air mass dependence of XCO2, and the bias between the TCCON measurements and calibrated integrated aircraft profile measurements was reduced from 1 % to 0.4 %. These results suggest that speed dependence should be included in the forward model when fitting near-infrared CO2 and O2 spectra to improve the accuracy of XCO2 measurements.

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13

Schreier, Franz. "Comments on “A Common Misunderstanding about the Voigt Line Profile”." Journal of the Atmospheric Sciences 66, no. 6 (June 1, 2009): 1860–64. http://dx.doi.org/10.1175/2009jas2906.1.

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Abstract In a recent paper, it was argued that some of the illustrations in popular textbooks comparing the Lorentz and Gaussian profiles with the “corresponding” Voigt profile are incorrect. These “misunderstandings” are shown to be a result of ambiguous specifications of the Voigt profile (i.e., there is no unique corresponding Voigt profile). Additionally, some comments on half-widths, numerics, and visualization are given.

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14

CAPRIOLI, MICHELE. "ON ALCAEUS 42, VOIGT." Classical Quarterly 62, no. 1 (April 24, 2012): 22–38. http://dx.doi.org/10.1017/s0009838811000425.

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15

Mackay, Tom G., Chenzhang Zhou, and Akhlesh Lakhtakia. "Dyakonov–Voigt surface waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2228 (August 2019): 20190317. http://dx.doi.org/10.1098/rspa.2019.0317.

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Electromagnetic surface waves guided by the planar interface of an isotropic dielectric medium and a uniaxial dielectric medium, both non-dissipative, were considered, the optic axis of the uniaxial medium lying in the interface plane. Whereas this interface is known to support the propagation of Dyakonov surface waves when certain constraints are satisfied by the constitutive parameters of the two partnering mediums, we identified a different set of constraints that allow the propagation of surface waves of a new type. The fields of the new surface waves, named Dyakonov–Voigt (DV) surface waves, decay as the product of a linear and an exponential function of the distance from the interface in the anisotropic medium, whereas the fields of the Dyakonov surface waves decay only exponentially in the anisotropic medium. In contrast to Dyakonov surface waves, the wavenumber of a DV surface wave can be found analytically. Also, unlike Dyakonov surface waves, DV surface waves propagate only in one direction in each quadrant of the interface plane.

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16

Brakman, C. M. "The Voigt model case." Philosophical Magazine A 55, no. 1 (January 1987): 39–58. http://dx.doi.org/10.1080/01418618708209799.

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17

Doyle, William T., and Nicholas Rott. "Recognition for Waldemar Voigt." Physics Today 41, no. 8 (August 1988): 102–3. http://dx.doi.org/10.1063/1.2811547.

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18

Tambe, U. V., G. Chandrasekharappa, and H. R. Srirangarajan. "Voigt dynamic vibration absorber." Journal of Sound and Vibration 124, no. 2 (June 1988): 381–84. http://dx.doi.org/10.1016/s0022-460x(88)80195-0.

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19

Kumar, Venkatachalam Sampath. "Grewia nagensium Prain vs Grewia denticulata Wall. ex Prain (Tiliaceae), which is to be accepted?" Phytotaxa 222, no. 1 (August 7, 2015): 81. http://dx.doi.org/10.11646/phytotaxa.222.1.11.

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Prain (1900: 168) described the species Grewia nagensium based on specimens collected from Assam and Nagaland in Northeast India. Few months later, while preparing “A second century of new and rare Indian plants”, Prain (1901: 10) noted that his G. nagensium is indeed G. denticulata Wall. ex Voigt (1845: 128) and treated the former as a synonym of latter. However, “G. denticulata Wall. ex Voigt” is a nomen nudum as Voigt did not provide any description. Kanjilal et al. (1934) in their account of Flora of Assam mentioned only “Grewia denticulata, Wall. Ann. Roy. Bot. Gard. Calc. lx. 10. t. 12” and did not discuss its nomenclature. After about 6 decades, in Flora of India, Daniel & Chandrabose (1993) accepted the name as “Grewia denticulata Wall. ex Prain” (1901), and cited Grewia nagensium Prain (1900) as its synonym, which was followed by the Chowdhery et al. (1996). In some taxonomic database such as The Plant List (2013 onwards) and Tropicos (2015) the name Grewia denticulata Wall. ex Prain is also accepted! The name G. denticulata was indeed validly published by Prain (1901), with a full description and plate with analyses, but as Prain ascribed it to “Wall. ex Voigt” (i.e. essentially, to Voigt) it is to be cited as G. denticulata Voigt ex Prain. However, it is an illegitimate, nomenclaturally superfluous name, as the earlier name G. nagensium Prain was cited in synonymy. G. denticulata Voigt ex Prain is therefore unavailable for use and is to be treated as a synonym.

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20

Stan, Felicia, Adriana-Madalina Turcanu (Constantinescu), and Catalin Fetecau. "Analysis of Viscoelastic Behavior of Polypropylene/Carbon Nanotube Nanocomposites by Instrumented Indentation." Polymers 12, no. 11 (October 29, 2020): 2535. http://dx.doi.org/10.3390/polym12112535.

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In this work, the viscoelastic behavior of polypropylene (PP)/multi-walled carbon nanotube (MWCNT) nanocomposites was investigated by indentation testing and phenomenological modeling. Firstly, indentation tests including two-cycle indentation were carried out on PP/MWCNT nanocomposite with three MWCNT loadings (1, 3 and 5 wt %). Next, the Maxwell–Voigt–Kelvin model coupled with two-cycle indentation tests was used to predict the shear creep compliance function and the equivalent indentation modulus. The indentation hardness and elastic modulus of the PP/MWCNT nanocomposites extracted based on the Oliver and Pharr method were compared with the equivalent indentation modulus predicted based on the Maxwell–Voigt–Kelvin mode. The experimental results indicated that the addition of nanotubes into the polypropylene has a positive effect on the micro-mechanical properties of PP/MWCNT nanocomposites. Indentation hardness and elastic modulus increased significantly with increasing MWCNT loading. The creep resistance at the micro-scale of the PP/MWCNT nanocomposites improved with the addition of MWCNTs, with creep displacement reduced by up to 20% by increasing the carbon nanotube loading from 1 to 5 wt %. The Maxwell–Voigt–Kelvin model with three and five Voigt–Kelvin units accurately predicted the shear creep function and its change with increasing MWCNT loading. However, the equivalent indentation modulus was found to be sensitive to the number of Voigt–Kelvin units: the more Voigt–Kelvin units, the better the model predicts the equivalent indentation modulus.

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21

Berselli, Luigi C., and Luca Bisconti. "On the structural stability of the Euler–Voigt and Navier–Stokes–Voigt models." Nonlinear Analysis: Theory, Methods & Applications 75, no. 1 (January 2012): 117–30. http://dx.doi.org/10.1016/j.na.2011.08.011.

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22

David, W. I. F. "Powder diffraction peak shapes. Parameterization of the pseudo-Voigt as a Voigt function." Journal of Applied Crystallography 19, no. 1 (February 1, 1986): 63–64. http://dx.doi.org/10.1107/s0021889886089999.

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23

Daridon, Loïc, Christian Licht, Somsak Orankitjaroen, and Stéphane Pagano. "Periodic homogenization for Kelvin-Voigt viscoelastic media with a Kelvin-Voigt viscoelastic interphase." European Journal of Mechanics - A/Solids 58 (July 2016): 163–71. http://dx.doi.org/10.1016/j.euromechsol.2015.12.007.

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24

David, W. I. F., and J. C. Matthewman. "Profile refinement of powder diffraction patterns using the Voigt function." Journal of Applied Crystallography 18, no. 6 (December 1, 1985): 461–66. http://dx.doi.org/10.1107/s0021889885010718.

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The Voigt function has been incorporated as a peak-shape description into a program for the refinement of constant-wavelength X-ray and neutron diffraction patterns. The results obtained for neutron diffraction are encouraging and indicate that the Voigt function describes the symmetrical component of the profile peak shape to high accuracy even in the presence of substantial line broadening from particle-size effects. In contrast with approximations to the Voigt function, such as the pseudo-Voigt and Pearson VII functions, the present treatment allows the angular dependences of line-broadening effects resulting from particle-size and instrumental contributions to be coded independently from each other in the Rietveld technique. The present treatment, which details improvements to the symmetrical component of the peak shape, does not offer a fully rigorous description of the peak shape as asymmetry corrections such as those given by Howard [J. Appl. Cryst. (1982), 15, 615–620] are not included.

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25

Schallbruch, Martin. "Buchbesprechungen. Paul Voigt, IT-Sicherheitsrecht." Computer und Recht 34, no. 7 (July 1, 2018): r81. http://dx.doi.org/10.9785/cr-2018-340722.

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26

Yang Chen-Guang, Kan Rui-Feng, Xu Zhen-Yu, Zhang Guang-Le, and Liu Jian-Guo. "Second derivative of Voigt function." Acta Physica Sinica 63, no. 22 (2014): 223301. http://dx.doi.org/10.7498/aps.63.223301.

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27

Licciardi, Silvia, Rosa Maria Pidatella, Marcello Artioli, and Giuseppe Dattoli. "Voigt Transform and Umbral Image." Mathematical and Computational Applications 25, no. 3 (July 31, 2020): 49. http://dx.doi.org/10.3390/mca25030049.

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In this paper, we show that the use of methods of an operational nature, such as umbral calculus, allows achieving a double target: on one side, the study of the Voigt function, which plays a pivotal role in spectroscopic studies and in other applications, according to a new point of view, and on the other, the introduction of a Voigt transform and its possible use. Furthermore, by the same method, we point out that the Hermite and Laguerre functions, extension of the corresponding polynomials to negative and/or real indices, can be expressed through a definition in a straightforward and unified fashion. It is illustrated how the techniques that we are going to suggest provide an easy derivation of the relevant properties along with generalizations to higher order functions.

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28

Hu, Bin, Qi Jie Wang, and Ying Zhang. "Voigt Airy surface magneto plasmons." Optics Express 20, no. 19 (August 31, 2012): 21187. http://dx.doi.org/10.1364/oe.20.021187.

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29

Illig, A. J., C. T. Chantler, and A. T. Payne. "Voigt profile characterization of copperKα." Journal of Physics B: Atomic, Molecular and Optical Physics 46, no. 23 (November 7, 2013): 235001. http://dx.doi.org/10.1088/0953-4075/46/23/235001.

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30

Renardy, M. "On localized Kelvin-Voigt damping." ZAMM 84, no. 4 (April 1, 2004): 280–83. http://dx.doi.org/10.1002/zamm.200310100.

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31

Zieleniewski, Łukasz, Robert A. Schwartz, David J. Goldberg, and Marc Zachary Handler. "Voigt‐Futcher pigmentary demarcation lines." Journal of Cosmetic Dermatology 18, no. 3 (February 22, 2019): 700–702. http://dx.doi.org/10.1111/jocd.12884.

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32

Maa, Jerome P. ‐Y, and Ashish J. Mehta. "Soft Mud Properties: Voigt Model." Journal of Waterway, Port, Coastal, and Ocean Engineering 114, no. 6 (November 1988): 765–70. http://dx.doi.org/10.1061/(asce)0733-950x(1988)114:6(765).

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33

Dalgaard, Jørgen B., and Jørn Simonsen. "Jørgen Axel Voigt (1924–1987)." Forensic Science International 37, no. 3 (May 1988): 157–58. http://dx.doi.org/10.1016/0379-0738(88)90178-8.

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34

Quealy-Gainer, Kate. "Little Bird by Cynthia Voigt." Bulletin of the Center for Children's Books 74, no. 1 (2020): 56. http://dx.doi.org/10.1353/bcc.2020.0632.

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Draxl, Claudia, and M. Kriechbaum. "Semiconductor superlattices in Voigt geometry." Zeitschrift f�r Physik B Condensed Matter 67, no. 4 (December 1987): 421–26. http://dx.doi.org/10.1007/bf01304108.

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36

Horst, M., and U. Merkt. "Surface polarons in Voigt configuration." Solid State Communications 54, no. 6 (May 1985): 559–62. http://dx.doi.org/10.1016/0038-1098(85)90668-4.

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37

Krishnan, Shankar. "In Memoriam-Professor Herbert Voigt." Health and Technology 8, no. 1-2 (May 2018): 37–38. http://dx.doi.org/10.1007/s12553-018-0227-5.

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38

Huang, T. C., and G. Lim. "Resolution of Overlapping X-Ray Fluorescence Peaks With the Pseudo-Voigt Function." Advances in X-ray Analysis 29 (1985): 461–68. http://dx.doi.org/10.1154/s0376030800010582.

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AbstractA method for resolving overlapping X-ray fluorescence spectra by curve fitting is described. The profile shape of an experimental fluorescence line obtained by wavelength dispersive method is represented by a simple pseudo-Voigt function, i.e. a sum of an asymmetric Gaussian and Lorentzian, each of equal width. Results showed that the pseudo-Voigt function matched the experimental profiles with high reliability. The relative Gaussian and Lorentzian contents and the asymmetry of the profiles depended upon the analyzing crystal, coliimating system and the 2θ peak position. For fixed crystal and collimator the smaller the 2θ, the larger the Gaussian content and the lower the asymmetry. The original Gaussian and Loretzian components of the exact Voigt function calculated from the parameters of the fitted pseudo-Voigt function explain the broadening effects of the X-ray emission lines and the instrumental aberrations on observed spectra. Curve fitting method with the psuedo- Voigt function has been used successfully to analyze overlapping fluorescence spectra. Examples and applications include a thin film sample where the Kα and the Kβ lines of adjacent transition elements overlap, and a strontium zirconium oxide specimen where the Zr Kα and the Sr Kβ lines strongly interfere. Concentrations obtained from the resolved individual peak intensities of Zr and Sr Kα lines are within ±1% of the true values.

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39

Stepantsov, Sergey A. "Alcaeus fr. 140.9 Voigt: the Unsolved Problem of the Text." Studia Litterarum 6, no. 1 (2021): 370–81. http://dx.doi.org/10.22455/2500-4247-2021-6-1-370-381.

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The author examines two variant readings in Alcaeus fr. 140 Voigt, a well-known poem listing pieces of arms. These two variants in line 9 are: ἔρκος (direct tradition represented by a papyrus fragment) and ἄρκος (from the quotation in Athenaeus). The word in question is used in the expression describing greaves: ἔρκος/ἄρκος ἰσχύρω βέλεος “a (de)fence against the arrow’s might”. A brief history of these variants in Alcaeus’ editions is outlined. The variant ἔρκος, attested by the papyrus, is supported by Homeric usage of ἕρκος in some parallel constructions of the Iliad, where it is used to describe means of defense. This variant is preferred in modern editions of Alcaeus’ fragments, including those by E.-M. Voigt (1971) and G. Liberman (1999). However, ἄρκος of the indirect tradition is a lectio difficilior and apparently has no less rights to be included in the fragment. Unlike ἄρκος, ἔρκος could have been a result of banalisation of the text (even as early as before the 2 nd century AD). Besides, ἄρκος fits in the context quite well, as one can infer from the usage of the word in later poets Nicander and Oppian, and probably by Alcaeus himself in fr. 396 Voigt.

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40

Tepper García, Thorsten. "Voigt profile fitting to quasar absorption lines: an analytic approximation to the Voigt-Hjerting function." Monthly Notices of the Royal Astronomical Society 369, no. 4 (June 7, 2006): 2025–35. http://dx.doi.org/10.1111/j.1365-2966.2006.10450.x.

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41

Kamarujjama, M. "A unified presentation of generalised Voigt functions." ANZIAM Journal 45, no. 2 (October 2003): 289–93. http://dx.doi.org/10.1017/s1446181100013341.

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AbstractVoigt functions occur frequently in a wide variety of problems in several diverse fields of physics. This paper presents a unified study of generalised Voigt functions. In particular, some expansions of unified Voigt functions are given in terms of the original functions. Some deductions from these representations are obtained which give us an opportunity to underline the special rôle of the associated generating functions.

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42

Wu, Lang, Ru Yu Yan, Jun Yao Cai, and Hao Li. "Nonlinearly Elastic Constitutive Relation of Anisotropic Aggregate of Cube Crystallites." Key Engineering Materials 842 (May 2020): 160–67. http://dx.doi.org/10.4028/www.scientific.net/kem.842.160.

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Under Voigt model, Barsch and Johnson gave the formula of nonliearly elastic constitutive relations for isotropic aggregates of cubic crystallites and orthorhambic aggregates of cubic crystallies, respectively. In this paper, a nonlinear elastic constitutive relation based on Voigt model, which is more general than Barsch's and Johnson's results, is derived for the set of anisotropic cubic grains. The anisotropy of metals is described by the texture coefficient.

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43

Ectors, D., F. Goetz-Neunhoeffer, and J. Neubauer. "Routine (an)isotropic crystallite size analysis in the double-Voigt approximation done right?" Powder Diffraction 32, S1 (March 13, 2017): S27—S34. http://dx.doi.org/10.1017/s0885715617000070.

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In this study, the application of (an)isotropic size determination using a recently proposed model for the double-Voigt approach is demonstrated and validated against line profile simulations using the Whole Powder Pattern Modelling approach. The fitting of simulated line profiles demonstrates that the attained crystallite sizes and morphologies are in very reasonable agreement with the simulated values and thus demonstrate that even in routine application scenarios credible size and morphology information can be obtained using the double-Voigt approximation. The aim of this contribution is to provide a comprehensive introduction to the problem, address the practical application of the developed model, and discuss the accuracy of the double-Voigt approach and derived size parameters. Mathematical formulations for the visualization of modeled morphologies, supporting the application of the recently developed macros, are additionally provided.

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Gupta, K. C., S. P. Goyal, and Rohit Mukherjee. "Some results on generalised voigt functions." ANZIAM Journal 44, no. 2 (October 2002): 299–303. http://dx.doi.org/10.1017/s144618110001395x.

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Recently, Srivastava, Pathan and Kamarujjama established several results for generalised Voigt functions which play an important role in several diverse fields of physics—such as astrophysical spectroscopy and the theory of neutron reactions. In the present paper we aim to generalise some partly bilateral and partly unilateral representations and generating functions of Srivastava et al. by considering a specialised version of the Srivastava-Chen definition of the unified Voigt functions. Several special cases of our main results are mentioned briefly.

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Guo, Yantao, Shuilin Cheng, and Yanbin Tang. "Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay." Discrete Dynamics in Nature and Society 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/721673.

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We consider the approximate 3D Kelvin-Voigt fluid driven by an external force depending on velocity with distributed delay. We investigate the long time behavior of solutions to Navier-Stokes-Voigt equation with a distributed delay external force depending on the velocity of fluid on a bounded domain. By a prior estimate and a contractive function, we give a sufficient condition for the existence of pullback attractor of NSV equation.

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Donadel, Letícia, and Lezilda Carvalho Torgan. "Falcula hyalina (Fragilariaceae, Bacillariophyta) from a coastal lagoon, Southern Brazil: an additional approach on its morphology." Phytotaxa 243, no. 2 (January 11, 2016): 185. http://dx.doi.org/10.11646/phytotaxa.243.2.10.

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Falcula hyalina Takano (1983: 24) is an epizoic diatom commonly associated with coastal copepods in many parts of the world (Takano 1983, Mahoney & Gibson 1983, Hiromi et al. 1985, Prasad et al. 1989, Souza-Mosimann et al. 1989, Fernandes & Calixto-Feres 2012, Li et al. 2014). The species was described and illustrated using the transmission electron microscope by Takano (1983) who differentiated it from other taxa of the genus—F. rogallii Voigt (1960: 86), F. media Voigt (1960: 87), F. semiundulata Voigt (1960: 87), F. paracelsiana Voigt (1961: 54) and F. media var. subsalina Proshkina-Lavrenko (1963: 36)—by the morphometric features of the valve (length, width, and stria and areolae density). Some years later, Prasad et al. (1989) improved the morphological features of F. hyalina using the scanning electron microscope and discussed the relation of the species with similar taxa. Round et al. (1990), in the diacritic description of the genus, raised the question that F. hyalina had some features that could not match with Falcula, such as the wider sternum and poroidal apical pore field (ocellulimbus), as opposed to a series of slits at the apices. Therefore, the taxonomic position of F. hyalina still remains uncertain.

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Hett, Benjamin Carter. "The “Captain of Köpenick” and the Transformation of German Criminal Justice, 1891–1914." Central European History 36, no. 1 (March 2003): 1–43. http://dx.doi.org/10.1163/156916103770892159.

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Most Germans still know the story. One day in October 1906, the 57-year-old ex-convict Wilhelm Voigt dressed himself in the uniform of a Prussian captain, assembled from several second-hand stores. So equipped, Voigt intercepted two squads of soldiers who were going off duty, and ordered the soldiers to accompany him to the town hall of the Berlin suburb of Köpenick. There, claiming to act on “All-Highest command,” Voigt arrested the mayor and other town officials, and had the town's cash handed over to him in two large sacks. He departed with the money and sent the officials in a car to the police station at Berlin's Neue Wache, guarded by several of the soldiers. Only at the Neue Wache did the officials learn that the “All-Highest” had not in fact ordered their arrest.

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Yin Zeng-Qian, Wu Chen, Gong Wan-Yu, Gong Zhi-Ke, and Wang Yong-Jie. "Voigt profile function and its maximum." Acta Physica Sinica 62, no. 12 (2013): 123301. http://dx.doi.org/10.7498/aps.62.123301.

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Pathan, M. A. "Integral transforms and extended Voigt functions." Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 43, no. 167 (July 8, 2019): 311. http://dx.doi.org/10.18257/raccefyn.778.

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En este artículo se introduce una generalización de las funciones de Voigt y se discuten sus propiedades y aplicaciones. Se obtienen representaciones explícitas de series, integrales e identidades y sus conexiones con los polinomios de Jacobi, Laguerre y Hermite. Las fórmulas resultantes permiten la unificación de algunos resultados especiales que aparecen en la literatura. © 2019. Acad. Colomb. Cienc. Ex. Fis. Nat.

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Klinaku, Shukri, and Naim Syla. "Voigt, Lorentz, and the Michelson experiment." Physics Essays 30, no. 2 (June 3, 2017): 148–49. http://dx.doi.org/10.4006/0836-1398-30.2.148.

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Journal articles on the topic 'Voigt'

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