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Journal articles on the topic 'Spectral solution'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Kaun, N., J. R. Baena, D. Newnham, and B. Lendl. "Terahertz Pulsed Spectroscopy as a New Tool for Measuring the Structuring Effect of Solutes on Water." Applied Spectroscopy 59, no. 4 (2005): 505–10. http://dx.doi.org/10.1366/0003702053641351.

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Absorption spectra of aqueous solution of “chaotropes” (structure maker) and “kosmotropes” (structure breaker) have been recorded in the mid-infrared (MIR) and terahertz (THz) spectral region. A different impact of the two groups of solutes on the absorption spectrum of water was found in the recorded THz spectra. A concentration-dependent increased absorption across the investigated THz spectral region (0.04–2 THz, 1.3–66 cm−1, respectively) has been recorded for all studied chaotropic solutions, whereas the opposite has been obtained for kosmotrope containing solutions. In the case of ionic

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2

Robert, P., L. Lavenant та D. Renard. "Infrared Two-Dimensional Correlation and Principal Component Analyses Applied to β-Lactoglobulin Aggregation in Water—Ethanol Solution". Applied Spectroscopy 56, № 9 (2002): 1180–85. http://dx.doi.org/10.1366/000370202760295430.

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Changes of the secondary structure of β-lactoglobulin in water–ethanol solutions were studied using infrared spectroscopy. The efficiency of both principal component analysis and two-dimensional correlation spectroscopy in avoiding spectral subtraction of water was evaluated. The kinetic curves assessed from the scores of the first principal component indicated that changes were more pronounced in 50% ethanol solution than in 5% ethanol–water solution. The spectral patterns derived from the eigenvectors made it possible to characterize changes in the secondary structure of the protein. While a

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3

Li, Da-Wei, Lei Bruschweiler-Li, Alexandar L. Hansen, and Rafael Brüschweiler. "DEEP Picker1D and Voigt Fitter1D: a versatile tool set for the automated quantitative spectral deconvolution of complex 1D-NMR spectra." Magnetic Resonance 4, no. 1 (2023): 19–26. http://dx.doi.org/10.5194/mr-4-19-2023.

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Abstract. The quantitative deconvolution of 1D-NMR spectra into individual resonances or peaks is a key step in many modern NMR workflows as it critically affects downstream analysis and interpretation. Depending on the complexity of the NMR spectrum, spectral deconvolution can be a notable challenge. Based on the recent deep neural network DEEP Picker and Voigt Fitter for 2D NMR spectral deconvolution, we present here an accurate, fully automated solution for 1D-NMR spectral analysis, including peak picking, fitting, and reconstruction. The method is demonstrated for complex 1D solution NMR s

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4

Беликов, А. В., Ю. В. Семяшкина, С. Н. Смирнов та А. Д. Тавалинская. "Исследование изменений в спектре поглощения современных хлоринсодержащих препаратов для фотодинамической терапии и метиленового синего в результате воздействия светодиодного излучения с длиной волны 656± 10 nm". Журнал технической физики 129, № 7 (2020): 972. http://dx.doi.org/10.21883/os.2020.07.49570.55-20.

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The changes in absorption spectra of aqueous solutions of modern chlorine-containing photosensitizing preparations "Revixan" (Areal, Russia) and "Chloderm" (Chloderm, Russia) depending on the intensity of LED radiation with wavelength of 656 ± 10 nm and exposure time were studied in spectral range 600-700 nm. The parameters of the CIE Lab color model of the image of "Revixan" aqueous solution before and after LED exposure were investigated. The changes in absorption spectra of aqueous solutions of methylene blue with different initial concentrations arising after exposure to LED radiation with

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Zdziarski, Andrzej A., Michał Szanecki, Juri Poutanen, Marek Gierliński, and Paweł Biernacki. "Spectral and temporal properties of Compton scattering by mildly relativistic thermal electrons." Monthly Notices of the Royal Astronomical Society 492, no. 4 (2020): 5234–46. http://dx.doi.org/10.1093/mnras/staa159.

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ABSTRACT We have obtained new solutions and methods for the process of thermal Comptonization. We modify the solution to the kinetic equation of Sunyaev and Titarchuk to allow its application up to mildly relativistic electron temperatures and optical depths $\gtrsim {1}$. The solution can be used for spectral fitting of X-ray spectra from astrophysical sources. We also have developed an accurate Monte Carlo method for calculating spectra and timing properties of thermal Comptonization sources. The accuracy of our kinetic equation solution is verified by comparison with the Monte Carlo results

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Dehghani Tazehkand, I., and A. Jodayree Akbarfam. "On Inverse Sturm-Liouville Problems with Spectral Parameter Linearly Contained in the Boundary Conditions." ISRN Mathematical Analysis 2011 (December 25, 2011): 1–23. http://dx.doi.org/10.5402/2011/754718.

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In this paper, we study Sturm-Liouville problems with spectral parameter linearly contained in one of the boundary conditions. We prove uniqueness theorems for the solution of the inverse problems according to the Weyl function, spectral data, and two spectra. Then, we recover the potential function and coefficients of boundary conditions from the spectral data by the method of spectral mappings.

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7

Cheng, Dan, Wensheng Cai, and Xueguang Shao. "Understanding the Interaction Between Oligopeptide and Water in Aqueous Solution Using Temperature-Dependent Near-Infrared Spectroscopy." Applied Spectroscopy 72, no. 9 (2018): 1354–61. http://dx.doi.org/10.1177/0003702818769410.

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Investigating the interaction between oligopeptide and water is essential for understanding the structure, dynamics and function of proteins. Temperature-dependent near-infrared (NIR) spectroscopy and independent component analysis (ICA) were employed to study the interaction between oligopeptide and water in aqueous solution. The NIR spectra of two homo-oligopeptides, penta-aspartic acid (D5) and penta-lysine (K5), in aqueous solution of different concentration were measured at different temperature (30–90 ℃). Independent component analysis was performed to extract the spectral information th

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8

Haaland, David M. "Synthetic Multivariate Models to Accommodate Unmodeled Interfering Spectral Components during Quantitative Spectral Analyses." Applied Spectroscopy 54, no. 2 (2000): 246–54. http://dx.doi.org/10.1366/0003702001949177.

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The analysis accuracy and precision of any multivariate calibration method will be severely degraded if unmodeled sources of spectral variation are present in the unknown sample spectra. A synthetic method for correcting errors generated by the presence of unmodeled components or other sources of unmodeled spectral variation has been developed. If the spectral shape of the unmodeled spectral component can be obtained and mathematically added in variable amounts to the original calibration spectra, then a new synthetic multivariate calibration model can be generated from the augmented data to a

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Bannikova, T. M., V. M. Nemtsov, N. A. Baranova, G. N. Konygin, and O. M. Nemtsova. "A method for estimating the statistical error of the solution in the inverse spectroscopy problem." Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta 58 (November 2021): 3–17. http://dx.doi.org/10.35634/2226-3594-2021-58-01.

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A method for obtaining the interval of statistical error of the solution of the inverse spectroscopy problem, for the estimation of the statistical error of experimental data of which the normal distribution law can be applied, has been proposed. With the help of mathematical modeling of the statistical error of partial spectral components obtained from the numerically stable solution of the inverse problem, it has become possible to specify the error of the corresponding solution. The problem of getting the inverse solution error interval is actual because the existing methods of solution err

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10

Bukin, Oleg, Dmitry Proschenko, Chekhlenok Alexey, et al. "New Solutions of Laser-Induced Fluorescence for Oil Pollution Monitoring at Sea." Photonics 7, no. 2 (2020): 36. http://dx.doi.org/10.3390/photonics7020036.

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Laser-induced fluorescence (LIF) spectral features for oil products of different states (solutions in the seawater and thin slicks) are discussed in this article. This research was done to evaluate LIF application for the identification of oil products and the measurement of the volume of ocean pollution by bilge water disposal. It was found out that the form of LIF spectral distribution was changed depending on the oil product state (pure fuel, slick or solution). The LIF method was calibrated for the most common types of heavy and light marine fuels at the standard measurement method of solu

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Kokhanovsky, Alexander. "The Approximate Analytical Solution for the Top-of-Atmosphere Spectral Reflectance of Atmosphere—Underlying Snow System over Antarctica." Remote Sensing 14, no. 19 (2022): 4778. http://dx.doi.org/10.3390/rs14194778.

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The analytical solutions of the radiative transfer equation are needed for the solution of various applied atmospheric and snow optics problems. In this paper, we propose a simple analytical equation for the top-of-atmosphere (TOA) spectral reflectance. To simplify the problem under study we consider the case of Antarctica, where both snow and atmosphere are almost free of pollutants. This work is focused on the simulation of the moderate spectral resolution TOA measurements (1 nm or so) and the spectral range 400–1000 nm. The values of the coefficient of variance (CV) between the measured by

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12

Zachary, G. "Africa's Food Solution [Spectral Lines]." IEEE Spectrum 50, no. 6 (2013): 8. http://dx.doi.org/10.1109/mspec.2013.6521013.

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13

Collins, Michael D., Henrik Schmidt, and William L. Siegmann. "An energy-conserving spectral solution." Journal of the Acoustical Society of America 107, no. 4 (2000): 1964–66. http://dx.doi.org/10.1121/1.428479.

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14

Buslov, Dmitrii K., and Nataliya A. Nikonenko. "Regularized Method of Spectral Curve Deconvolution." Applied Spectroscopy 51, no. 5 (1997): 666–72. http://dx.doi.org/10.1366/0003702971941070.

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A regularized method of spectral curve deconvolution is proposed. This method is based on three fundamental principles: the regularized method of solving the convolution equation; the use, instead of the apodization function, of the digital low-pass filter, which permits exact knowledge of its characteristics; and the use of the Fourier transform modulus of the spectrum being treated for obtaining a priori information about the frequency characteristics of the solution and noise, required for determination of the optimum parameters of the regularizing operator. The regularized method of de-con

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15

Kanou, Mikihito, Kenichi Nakanishi, Atsushi Hashimoto, and Takaharu Kameoka. "Influences of Monosaccharides and its Glycosidic Linkage on Infrared Spectral Characteristics of Disaccharides in Aqueous Solutions." Applied Spectroscopy 59, no. 7 (2005): 885–92. http://dx.doi.org/10.1366/0003702054411760.

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The infrared spectral characteristics of ten different types of disaccharides (trehalose, kojibiose, nigerose, maltose, isomaltose, trehalulose, sucrose, turanose, maltulose, and palatinose) and five different types of monosaccharides (glucose, mannose, galactose, talose, and fructose) in aqueous solutions (H2O and D2O) were determined. The infrared spectra were collected using the Fourier transform infrared attenuated total reflectance (FT-IR/ATR) method and comparisons between the degrees of absorption band-shift of the saccharide spectra in the H2O solution with those in the D2O solution wi

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16

Spivak, Anna V., Ninel Yu Sharapova, Tatiana V. Setkova, et al. "High-Pressure Monosulfide Solid Solution FexNi1−xS Phases: X-Ray Diffraction Analysis and Raman Spectroscopy." Crystals 14, no. 11 (2024): 967. http://dx.doi.org/10.3390/cryst14110967.

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High-pressure high-temperature (HPHT) crystalline monosulfide solid solution (Mss) phases (FexNi1−xS, x = 0.90, 0.75, 0.50, 0.25), troilite (FeS I), and α-NiS of the Fe-Ni-S system were synthesized at 7 GPa and 900–1550 °C. The structural parameters of the obtained phases were refined by XRD using the Rietveld method. Factor group analysis revealed the number of active Raman modes for FeS I and α-NiS. Raman spectra of troilite, α-NiS, and Mss phases were obtained. It was shown that the Raman spectra of Mss phases and α-NiS have a similar topology. The Raman spectra of the experimental phases i

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17

Smirnov, Aleksandr O., Eugene A. Frolov, and Lada L. Dmitrieva. "On a Hierarchy of Vector Derivative Nonlinear Schrödinger Equations." Symmetry 16, no. 1 (2024): 60. http://dx.doi.org/10.3390/sym16010060.

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We propose a new hierarchy of the vector derivative nonlinear Schrödinger equations and consider the simplest multiphase solutions of this hierarchy. The study of the simplest solutions of these equations led to the following results. First, the three-leaf spectral curves Γ={(μ,λ)} of the simplest multiphase solutions have a quite simple symmetry. They are invariant with respect to holomorphic involution τ. The type of this involution depends on the genus of the spectral curve. Or the involution has the form τ:(μ,λ)→(μ,−λ), or τ:(μ,λ)→(−μ,−λ). The presence of symmetry leads to the fact that th

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18

Zhang, Sheng, Yuanyuan Wei, and Bo Xu. "Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example." Complexity 2019 (August 6, 2019): 1–9. http://dx.doi.org/10.1155/2019/7952871.

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In this paper, the spectral transform with the reputation of nonlinear Fourier transform is extended for the first time to a local time-fractional Korteweg-de vries (tfKdV) equation. More specifically, a linear spectral problem associated with the KdV equation of integer order is first equipped with local time-fractional derivative. Based on the spectral problem with the equipped local time-fractional derivative, the local tfKdV equation with Lax integrability is then derived and solved by extending the spectral transform. As a result, a formula of exact solution with Mittag-Leffler functions

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19

Серегина, Е. А., А. А. Серегин та Г. В. Тихонов. "Спектрально-люминесцентные свойства Yb-=SUP=-3+-=/SUP=- в растворах SO-=SUB=-2-=/SUB=-Cl-=SUB=-2-=/SUB=--GaCl-=SUB=-3-=/SUB=--Yb-=SUP=-3+-=/SUP=-". Оптика и спектроскопия 129, № 12 (2021): 1484. http://dx.doi.org/10.21883/os.2021.12.51735.1883-21.

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The spectra of absorption, luminescence, and lifetime of Yb3+ in SO2Cl2 – GaCl3 – Yb3+ solutions were measured. Information is obtained on the Stark splitting of energy levels, absorption and stimulated emission cross sections of Yb3+. An analysis of the spectral dependence of the gain cross sections indicates that the SOCl2 – GaCl3 – Yb3 solution is promising as the active medium of a diode-pumped liquid ytterbium laser.

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20

Huang, Jin, Feiping Nie, and Heng Huang. "Spectral Rotation versus K-Means in Spectral Clustering." Proceedings of the AAAI Conference on Artificial Intelligence 27, no. 1 (2013): 431–37. http://dx.doi.org/10.1609/aaai.v27i1.8683.

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Spectral clustering has been a popular data clustering algorithm. This category of approaches often resort to other clustering methods, such as K-Means, to get the final cluster. The potential flaw of such common practice is that the obtained relaxed continuous spectral solution could severely deviate from the true discrete solution. In this paper, we propose to impose an additional orthonormal constraint to better approximate the optimal continuous solution to the graph cut objective functions. Such a method, called spectral rotation in literature, optimizes the spectral clustering objective

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21

Adak, Dibyendu, Duc P. Truong, Gianmarco Manzini, Kim Ø. Rasmussen, and Boian S. Alexandrov. "Tensor Network Space-Time Spectral Collocation Method for Time-Dependent Convection-Diffusion-Reaction Equations." Mathematics 12, no. 19 (2024): 2988. http://dx.doi.org/10.3390/math12192988.

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Emerging tensor network techniques for solutions of partial differential equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultra-fast numerical solutions of high-dimensional problems. Here, we introduce a Tensor Train (TT) Chebyshev spectral collocation method, in both space and time, for the solution of the time-dependent convection-diffusion-reaction (CDR) equation with inhomogeneous boundary conditions, in Cartesian geometry. Previous methods for numerical solution of time-dependent PDEs often used finite difference for time

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Sarkar, Shilpa, Indranil Chattopadhyay, and Philippe Laurent. "Two-temperature solutions and emergent spectra from relativistic accretion discs around black holes." Astronomy & Astrophysics 642 (October 2020): A209. http://dx.doi.org/10.1051/0004-6361/202037520.

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Aims. We investigate a two-temperature advective transonic accretion disc around a black hole and analyse its spectrum in the presence of radiative processes such as bremsstrahlung, synchrotron, and inverse-Comptonisation. The aim is to link the emergent spectra with constants of motion of the accretion disc fluid, however, the number of unknowns in two-temperature theory exceeds the number of equations for a given set of constants of motion. We intend to remove the degeneracy using a general methodology and obtain a unique solution, along with its spectrum. Methods. We used hydrodynamic equat

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23

Isago, Hiroaki. "A new spectroelectrochemical cell with a long optical path length for redox studies of phthalocyanines." Journal of Porphyrins and Phthalocyanines 10, no. 09 (2006): 1125–31. http://dx.doi.org/10.1142/s1088424606000478.

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A new spectroelectrochemical cell with a long optical path length has been fabricated for redox studies of phthalocyanines, where the propagation axis of the optical beam is parallel to the electrode/solution interface. It is composed of a homemade Teflon block that fits inside a standard 1 cm quartz optical-cell, equipped with a platinum-foil working electrode, a platinum-wire auxiliary electrode, and a AgCl -coated silver-wire reference electrode. This new cell makes it much easier to acquire spectral data for dilute solutions containing species, like phthalocyanines, that have limited solub

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Zhang, Qing, Yuanyuan Li, Zexing Cao, and Chaoyuan Zhu. "Aggregation-induced emission spectra of triphenylamine salicylaldehyde derivatives via excited-state intramolecular proton transfer revealed by molecular spectral and dynamics simulations." RSC Advances 11, no. 59 (2021): 37171–80. http://dx.doi.org/10.1039/d1ra07388e.

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Marlier, Garance, Frédéric Bouchette, Samuel Meulé, Raphaël Certain, and Jean-Yves Jouvenel. "Spectral Water Wave Dissipation by Biomimetic Soft Structure." Journal of Marine Science and Engineering 12, no. 11 (2024): 2004. http://dx.doi.org/10.3390/jmse12112004.

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Coastal protection solutions can be categorised as grey, hybrid or natural. Grey infrastructure includes artificial structures like dykes. Natural habitats like seagrasses are considered natural protection infrastructure. Hybrid solutions combine both natural and grey infrastructure. Evidence suggests that grey solutions can negatively impact the environment, while natural habitats prevent flooding without such adverse effects and provide many ecosystem services. New types of protective solutions, called biomimetic solutions, are inspired by natural habitats and reproduce their features using

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Sagara, Takamasa, Hidekazu Murase, Masaharu Komatsu, and Naotoshi Nakashima. "Toward the Interpretation of Electroreflectance Spectral Profiles: Hemin Adsorbed on an HOPG Electrode Revisited." Applied Spectroscopy 54, no. 2 (2000): 316–23. http://dx.doi.org/10.1366/0003702001949285.

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The features of the potential-modulated UV-visible reflectance (electroreflectance) spectrum at an electrode/solution interface are discussed by comparing experimental and simulated spectra. At a basal plane of a highly oriented pyrolytic graphite (HOPG) electrode covered with a molecular layer of hemin in 0.1 M Na2B4O7 aqueous solution, the electroreflectance signal was confirmed to be proportional to the amount of adsorbed hemin interconverted between oxidized and reduced forms. The electroreflectance spectrum in response to p-polarized incident light depended little on the incident angle, a

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DASSIOS, G. "The fundamental solutions for irrotational and rotational Stokes flow in spheroidal geometry." Mathematical Proceedings of the Cambridge Philosophical Society 143, no. 1 (2007): 243–53. http://dx.doi.org/10.1017/s0305004107000291.

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AbstractThe Stokes operator E2 governs the irrotational axisymmetric Stokes flow and its square governs the corresponding rotational flow. In spheroidal coordinates the elements of the solution space ker E2 enjoy a spectral decomposition into separable eignefunction, while the elements of the ker E4 accept a spectral decomposition in terms of semiseparable eigensolutions involving 3D-by-3D eigenfunctions of the Gegenbauer operator. These spectral characteristics are utilized to construct the fundamental solutions for both the E2 and the E4 operators in spheroidal geometry. The fundamental solu

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Van Minh, Nguyen, and Ha Binh Minh. "A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations." Abstract and Applied Analysis 2004, no. 10 (2004): 881–96. http://dx.doi.org/10.1155/s1085337504406046.

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Letube a given bounded uniformly continuous mild solution of a higher-order abstract functional differential equation of delay or advance type. We give a so-called Massera-type criterion for the existence of a mild solution, which is a “spectral component” ofuwith spectrum similar to the one of the forcing termf. Various spectral criteria for the existence of almost periodic and quasiperiodic mild solutions are given.

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Garba, A., A. Mofid, and R. Peyret. "Spectral solution of free surface flows." Finite Elements in Analysis and Design 16, no. 3-4 (1994): 191–206. http://dx.doi.org/10.1016/0168-874x(94)90064-7.

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Xu, Shuyu, D. Bruce Chase, John F. Rabolt, and Isao Noda. "Two-Dimensional Correlation Spectroscopy (2D-COS) Studies of Solution Mixtures in the Low Frequency Raman Region." Applied Spectroscopy 73, no. 9 (2019): 1012–18. http://dx.doi.org/10.1177/0003702819848501.

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Raman spectra of a series of binary solution mixtures, including chloroform (CHCl3), ethanol (EtOH), and 1,1,1,3,3,3-hexafluoro-2-propanol (HFIP), were analyzed using the two-dimensional correlation spectroscopic (2D-COS) technique in the low frequency region. Numerous asynchronous cross-peaks ubiquitously appeared in the concentration-dependent Raman spectra of these organic solvent mixtures. The result clearly demonstrated a deviation from ideal solution behavior, reflecting the presence of specific molecular interactions causing a subtle nonlinear spectral intensity response of Raman bands

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Pei, Chaoxu, Mark Sussman, and M. Yousuff Hussaini. "A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems." International Journal of Computational Methods 16, no. 01 (2018): 1850093. http://dx.doi.org/10.1142/s0219876218500937.

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A space-time discontinuous Galerkin spectral element method is combined with two different approaches for treating problems with discontinuous solutions: (i) adding a space-time dependent artificial viscosity, and (ii) tracking the discontinuity with space-time spectral accuracy. A Picard iteration method is employed to solve nonlinear system of equations derived from the space-time DG spectral element discretization. Spectral accuracy in both space and time is demonstrated for the Burgers’ equation with a smooth solution. For tests with discontinuities, the present space-time method enables b

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Lukуanenko, Ksenya Sergeevna, Vladimir Iosifovich Apanasevich, Aleksandra Viktorovna Lagureva, Alina Sergeevna Polkovnikova, Pavel Aleksandrovich Lukyanov, and Vladimir Nikolaevich Kustov. "Spectral Characteristics of Secondary Radiation Cisplatin for Cancer Therapy." Solid State Phenomena 245 (October 2015): 253–55. http://dx.doi.org/10.4028/www.scientific.net/ssp.245.253.

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Gamma spectrums were measured during X-ray transmission through solutions such as sodium chloride solution with increasing quintuple concentration of NaCl and cisplatin with increasing quintuple concentration of platinum. It was shown that the number of photons with an energy of 511 keV is 29.6% more in cisplatin solution with increasing quintuple concentration of platinum (5*cisplatin) than sodium chloride solution increasing quintuple concentration of NaCl. The result allows us to consider cisplatin as a possible radiomodificator for radiation therapy.

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Alawi, Sadiq M., Teresa Krug, and Hugh H. Richardson. "Characterization and Application of an Infrared Linear Array Spectrometer for Time-Resolved Infrared Spectroscopy." Applied Spectroscopy 47, no. 10 (1993): 1626–30. http://dx.doi.org/10.1366/0003702934334769.

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An infrared spectrometer is described which uses a 32-element InSb linear array detector. The infrared linear array (IRLA) spectrometer collects infrared spectra with a spectral width of 0.50 µm every 16 µs. The performance of the IRLA spectrometer is characterized with respect to signal-to-noise ratio, spectral resolution, time resolution, and instrumental line shape. The IRLA spectrometer is used to collect the time-resolved infrared spectra following 193-nm irradiation of a solution of Mo(CO)6 in hexane.

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Шмурак, С. З., В. В. Кедров, А. П. Киселев, Т. Н. Фурсова, И. И. Зверькова та С. С. Хасанов. "Спектральные и структурные характеристики вольфраматов (Lu-=SUB=-1-x-=/SUB=-Eu-=SUB=-x-=/SUB=-)-=SUB=-2-=/SUB=-(WO-=SUB=-4-=/SUB=-)-=SUB=-3-=/SUB=-". Физика твердого тела 61, № 11 (2019): 2142. http://dx.doi.org/10.21883/ftt.2019.11.48420.516.

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Investigated are the structure, luminescence, and IR absorption spectra of (Lu1−xEux)2(WO4)3 solid solutions in a wide range of Eu concentrations (0 ≤ x ≤ 1). A sequential replacement of two types of crystalline phases occurs with an increase in Eu concentration. The orthorhombic phase (Pbcn space group) of tungstate solid solutions is observed at 0 ≤ x < 0.5. A monoclinic phase (C2/c space group) arises along with the orthorhombic one in the range of 0.5 ≤ x ≤ 0.8, while at x > 0.8, the solid solution has a monoclinic structure. The correspondence between the structure and spectral char

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Amba, Prakhar, and David Alleysson. "Spectral image recovery from Spectral Filter Array cameras using LMMSE." Color and Imaging Conference 2019, no. 1 (2019): 300–303. http://dx.doi.org/10.2352/issn.2169-2629.2019.27.54.

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A hyperspectral camera can record a cube of data with both spatial 2D and spectral 1D dimensions. Spectral Filter Arrays (SFAs) overlaid on a single sensor allows a snapshot version of a hyperspectral camera. But acquired image is subsampled both spatially and spectrally, and a recovery method should be applied. In this paper we present a linear model of spectral and spatial recovery based on Linear Minimum Mean Square Error (LMMSE) approach. The method learns a stable linear solution for which redundancy is controlled using spatial neighborhood. We evaluate results in simulation using gaussia

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Krivenko, V. G., Yu L. Khodasevich, S. N. Pantuz, V. I. Emalyanenko, N. I. Borisova, and E. A. Permyakov. "HIGH SPEED REGISTRATION SPECTROFLUORIMETER SFL-S." NAUCHNOE PRIBOROSTROENIE 31, no. 2 (2021): 23–34. http://dx.doi.org/10.18358/np-31-2-i2334.

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An experimental multifunctional high speed registration spectrofluorimeter SFL-S has been developed at the Institute for Biological Instrumentation of the Russian Academy of Sciences. The spectroflu-orimeter is designed to measure excitation and emission spectra of solutions and suspensions of bio-logical molecules and cells in the ultraviolet, visible, and near infrared spectral regions in the course of fundamental and applied research in the field of physicochemical biology, biophysics, biochemistry, and medicine. Features of the instrument are: the possibility of high-speed registration of

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Yang, Yin, Xinfa Yang, Jindi Wang, and Jie Liu. "The numerical solution of the time-fractional non-linear Klein-Gordon equation via spectral collocation method." Thermal Science 23, no. 3 Part A (2019): 1529–37. http://dx.doi.org/10.2298/tsci180824220y.

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In this paper, we consider the numerical solution of the time-fractional non-linear Klein-Gordon equation. We propose a spectral collocation method in both temporal and spatial discretizations with a spectral expansion of Jacobi interpolation polynomial for this equation. A rigorous error analysis is provided for the spectral methods to show both the errors of approximate solutions and the errors of approximate derivatives of the solutions decaying exponentially in infinity-norm and weighted L2-norm. Numerical tests are carried out to confirm the theoretical results.

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Kong, Hai Yang, Lan Xiang Sun, Jing Tao Hu, Yong Xin, and Zhi Bo Cong. "Quantitative Analysis of Steels Using PLS with Three Data Reduction Methods Based on LIBS." Advanced Materials Research 997 (August 2014): 578–82. http://dx.doi.org/10.4028/www.scientific.net/amr.997.578.

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Three methods, selecting characteristic lines of elements contained in the samples manually, selecting intensive spectral partitions manually and the whole spectra, were used to reduce dimensions of spectra of 27 steel samples acquired by Laser-Induced Breakdown Spectroscopy. The PLS models were built based on the data after dimension reduction to quantify the Mn concentration of samples. The results show that, PLS model built based on selecting intensive spectral partitions can achieve the best result with the least complexity and the highest generalization ability. Selecting intensive partit

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Lovetskiy, Konstantin P., Dmitry S. Kulyabov, Leonid A. Sevastianov, and Stepan V. Sergeev. "Chebyshev collocation method for solving second order ODEs using integration matrices." Discrete and Continuous Models and Applied Computational Science 31, no. 2 (2023): 150–63. http://dx.doi.org/10.22363/2658-4670-2023-31-2-150-163.

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The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an expansion in Chebyshev polynomials. The approach allows a stable calculation of both the spectral representation of the solution and its pointwise representation on any required grid in the definition domain of the equation and additional conditions of the multipoint problem. For the effective construction of SLAE, the solution of which gives the desired coefficients, the Chebyshev matrices of spectral integration are act

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Layton, Anita T., Leon C. Moore, and Harold E. Layton. "Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats." American Journal of Physiology-Renal Physiology 291, no. 1 (2006): F79—F97. http://dx.doi.org/10.1152/ajprenal.00048.2005.

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Single-nephron proximal tubule pressure in spontaneously hypertensive rats (SHR) can exhibit highly irregular oscillations similar to deterministic chaos. We used a mathematical model of tubuloglomerular feedback (TGF) to investigate potential sources of the irregular oscillations and the corresponding complex power spectra in SHR. A bifurcation analysis of the TGF model equations, for nonzero thick ascending limb (TAL) NaCl permeability, was performed by finding roots of the characteristic equation, and numerical simulations of model solutions were conducted to assist in the interpretation of

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MEYLAN, MICHAEL H. "Spectral solution of time-dependent shallow water hydroelasticity." Journal of Fluid Mechanics 454 (March 10, 2002): 387–402. http://dx.doi.org/10.1017/s0022112001007273.

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The spectral theory of a thin plate floating on shallow water is derived and used to solve the time-dependent motion. This theory is based on an energy inner product in which the evolution operator becomes unitary. Two solution methods are presented. In the first, the solution is expanded in the eigenfunctions of a self-adjoint operator, which are the incoming wave solutions for a single frequency. In the second, the scattering theory of Lax–Phillips is used. The Lax–Phillips scattering solution is suitable for calculating only the free motion of the plate. However, it determines the modes of

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Wang, Chengfei, Boris Akhremitchev, and Gilbert C. Walker. "Vibrational Mode Coupling to Reverse Electron Transfer in (CN)5FeCNRu(NH3)5− in Solution." Laser Chemistry 19, no. 1-4 (1999): 385–87. http://dx.doi.org/10.1155/1999/41464.

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We present charge transfer absorption, resonance Raman and time-resolved infrared spectral data for (CN)5FeCNRu(NH3)5− in various solvents. The transient infrared spectra and anisotropies reveal both non-equilibrium vibrational populations of high frequency modes and local solvent heating.

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Zabolotnyi, M. A., A. I. Momot, G. I. Dovbeshko, et al. "Modification of Alkaloid Structure in the Conium Drug with Fullerenes C60." Ukrainian Journal of Physics 57, no. 7 (2012): 739. http://dx.doi.org/10.15407/ujpe57.7.739.

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The antineoplastic drug Conium, whose active components are piperidine alkaloids, and the possibility of a modification of its properties by fullerenes C60 are studied. The IR spectra of the mixture of the drug Conium and a fullerene water solution are obtained. The spectral manifestation of the formation of a complex of fullerene with one of the alkaloids, namely γ-coniceine, is detected. The existence of the complex and its spectral characteristics are confirmed by quantum-chemical computations with a Gaussian program. Moreover, the IR spectra are calculated, and the conformations of γ-conic

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GHOREISHI, F., and P. MOKHTARY. "SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS." International Journal of Computational Methods 11, no. 05 (2014): 1350072. http://dx.doi.org/10.1142/s0219876213500722.

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In this paper, the spectral collocation method is investigated for the numerical solution of multi-order Fractional Differential Equations (FDEs). We choose the orthogonal Jacobi polynomials and set of Jacobi Gauss–Lobatto quadrature points as basis functions and grid points respectively. This solution strategy is an application of the matrix-vector-product approach in spectral approximation of FDEs. The fractional derivatives are described in the Caputo type. Numerical solvability and an efficient convergence analysis of the method have also been discussed. Due to the fact that the solutions

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Spencer, N. M., and V. V. Anh. "Spectral factorisation and prediction of multivariate processes with time-dependent rational spectral density matrices." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33, no. 2 (1991): 192–210. http://dx.doi.org/10.1017/s0334270000006998.

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AbstractThis paper considers discrete multivariate processes with time-dependent rational spectral density matrices and gives a solution to the spectral factorisation problem. As a result, the corresponding state space representation for the process is obtained. The relationship between multivariate processes with time-dependent rational spectral density matrix functions and multivariate ARMA processes with time-dependent coefficients is discussed. Solutions for the prediction problem are given for the case when only finite data is available and the case when the whole history of the process i

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Oakley, Bryan W., Gage Bonner, and Jean-Luc Thiffeault. "Optimal spatially-dependent diffusion tensors." Nonlinearity 36, no. 12 (2023): 6777–97. http://dx.doi.org/10.1088/1361-6544/ad04a7.

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Abstract We consider the spatially-dependent diffusion tensors that maximize the rate of convergence to equilibrium of solutions to the heat equation in inhomogeneous media. We formulate a variational problem for the optimal spectral gap, subject to an Lp constraint on the diffusion tensors, and solve a relaxed version of this variational problem. This provides an upper bound for the optimal spectral gap. The solution is characterized in terms of the extremals of Sobolev and Poincaré type inequalities. To illustrate this result, we give a presentation of the one-dimensional case. In this case,

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Astapenko, Valery, and Valery Lisitsa. "Saturation Effect Produced by Laser Pulses: Karplus–Schwinger Approach versus Bloch Solution." Atoms 10, no. 4 (2022): 111. http://dx.doi.org/10.3390/atoms10040111.

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The saturation effect during the excitation of a two-level system by laser pulses is investigated in the framework of two approaches: excitation probability based on Karplus–Schwinger spectral profile and exact solution of Bloch equations. Simple analytical expression for the excitation probability by exponential pulse is derived. The excitation spectra obtained using this expression were compared with the result of solving the Bloch equations for various values of the pulse duration and the Rabi frequency, which describes the strength of the electromagnetic interaction. It is shown that in th

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Dehghani Tazehkand, I., and A. Jodayree Akbarfam. "An Inverse Spectral Problem for the Sturm-Liouville Operator on a Three-Star Graph." ISRN Applied Mathematics 2012 (May 27, 2012): 1–23. http://dx.doi.org/10.5402/2012/132842.

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We study an inverse spectral problem for the Sturm-Liouville operator on a three-star graph with the Dirichlet and Robin boundary conditions in the boundary vertices and matching conditions in the internal vertex. As spectral characteristics,we consider the spectrum of the main problem together with the spectra of two Dirichlet-Dirichlet problems and one Robin-Dirichlet problem on the edges of the graph and investigate their properties and asymptotic behavior. We prove that if these four spectra do not intersect, then the inverse problem of recovering the operator is uniquely solvable.We give

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Hijji, Yousef Mohammad, Hani Darwish Tabba, Rajeesha Rajan, Hamzeh Mohammad Abdel-Halim, Musa Ibrahim El-Barghouthi, and Hutaf Mustafa Baker. "Selective colorimetric molecular probe for cyanide ion detection in aqueous solution." European Journal of Chemistry 9, no. 4 (2018): 338–46. http://dx.doi.org/10.5155/eurjchem.9.4.338-346.1777.

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5-Nitro-2-hydroxybenzaldehyde (1) demonstrated to be a sensitive, and a selective molecular probe for cyanide ion (CN-) in aqueous media. In acetonitrile, compound 1 shows sensitivity and selectivity for cyanide, acetate and fluoride, in comparison to other investigated anions using both visual and spectroscopic means. In aqueous solution, the color becomes intense yellow upon addition of cyanide, while acetate showed this effect to a much lower extent. Significant spectral changes were also detected with the appearance of two new absorption bands at 358 and 387 nm. This was accompanied by con

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Zebari, Luqman, Mardan A. Pirdawood, and Mohammed I. Sadeeq. "Efficient Numerical Solution of the Sharma-Tasso-Olver Equation Using Radial Basis Function-Pseudo Spectral Method with Comparative Analysis." Wasit Journal for Pure sciences 3, no. 2 (2024): 1–7. http://dx.doi.org/10.31185/wjps.335.

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In this study, we will solve the Sharma-Tasso-Olver equation by utilizing the radial basis function-pseudo spectral approach. Pseudo spectral techniques are renowned for their exceptional precision but have constraints regarding their ability to handle geometric variations. The integration of Radial Basis Functions (RBF) with pseudo spectral methods offers a solution to surmount this particular limitation. To estimate the differentials with respect to the variable , we will use the radial basis functions, including commonly used ones like multiquadric, inverse multiquadric, and inverse quadric

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