Relevant bibliographies by topics / Scattering matrix method

Academic literature on the topic 'Scattering matrix method'

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Published: 14 March 2023

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Journal articles on the topic "Scattering matrix method"

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Tayeb, Gérard, and Stefan Enoch. "Combined fictitious-sources–scattering-matrix method." Journal of the Optical Society of America A 21, no. 8 (August 1, 2004): 1417. http://dx.doi.org/10.1364/josaa.21.001417.

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Sheng, Wei-Dong. "The scattering matrix method for quantum waveguides." Journal of Physics: Condensed Matter 9, no. 40 (October 6, 1997): 8369–80. http://dx.doi.org/10.1088/0953-8984/9/40/005.

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Rivlin, Tom, Laura K. McKemmish, K. Eryn Spinlove, and Jonathan Tennyson. "Low temperature scattering with the R-matrix method: argon-argon scattering." Molecular Physics 117, no. 21 (May 10, 2019): 3158–70. http://dx.doi.org/10.1080/00268976.2019.1615143.

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Alhaidari, A. D. "Deformation of the J-Matrix Method of Scattering." Foundations of Physics Letters 16, no. 6 (December 2003): 579–91. http://dx.doi.org/10.1023/b:fopl.0000012784.06039.6f.

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HAMID, A. K. "Generalized scattering matrix method for cascaded waveguide junctions." International Journal of Electronics 80, no. 3 (March 1996): 471–77. http://dx.doi.org/10.1080/002072196137318.

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Simons, N. R. S., A. A. Sebak, E. Bridges, and Y. M. M. Antar. "Transmission-line matrix (TLM) method for scattering problems." Computer Physics Communications 68, no. 1-3 (November 1991): 197–212. http://dx.doi.org/10.1016/0010-4655(91)90200-5.

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Hu, Shuai, Lei Liu, Taichang Gao, and Qingwei Zeng. "Design and Validation of the Invariant Imbedded T-Matrix Scattering Model for Atmospheric Particles with Arbitrary Shapes." Applied Sciences 9, no. 20 (October 18, 2019): 4423. http://dx.doi.org/10.3390/app9204423.

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Light scattering by non-spherical particles is an important factor influencing atmospheric radiative transfer. To accurately simulate the scattering properties of non-spherical particles, the Invariant Imbedded T-matrix method (IIM T-Matrix) is developed by combining the Lorenz–Mie theory and invariant imbedding technique. In this model, the non-spherical particle is regarded as an inhomogeneous sphere and discretized into multiple spherical layers in the spherical coordinate system. The T-matrix of the inscribed sphere is firstly calculated by the Lorenz–Mie theory, and then taking it as the initial value, the T-matrix is updated layer by layer by using the invariant imbedding technique. To improve the computational efficiency, the model is further parallelized by the OpenMP technique. To verify the simulation accuracy of the IIM T-Matrix method, the results of the model are compared with those of the EBCM (Extended Boundary Condition Method) T-Matrix method, DDA (Discrete Dipole Approximation) and MRTD (Multi-Resolution Time Domain). The results show that the scattering phase matrix simulated by the IIM T-Matrix method closely agrees with that of the well-tested models, indicating that the IIM T-Matrix method is a powerful tool for the light scattering simulation of non-spherical particles. Since the IIM T-Matrix method is derived from the volume integral equation, compared to the T-Matrix method which is based on surface integral principles (i.e., “EBCM” or the “null field method”), it can be applied to the scattering calculations of particle with arbitrary shapes and inhomogeneous compositions, which can greatly expand the application scope of the T-Matrix method.
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Pecheritsin, A. A., A. M. Pupasov, and Boris F. Samsonov. "Singular matrix Darboux transformations in the inverse-scattering method." Journal of Physics A: Mathematical and Theoretical 44, no. 20 (April 21, 2011): 205305. http://dx.doi.org/10.1088/1751-8113/44/20/205305.

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Syty, P., Ł. Redynk, and J. E. Sienkiewicz. "Application of the J-matrix method to multichannel scattering." European Physical Journal Special Topics 222, no. 9 (October 2013): 2323–28. http://dx.doi.org/10.1140/epjst/e2013-02012-1.

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Yan, Shaohui, and Baoli Yao. "Fast calculation technique for scattering in T-matrix method." Physics Letters A 372, no. 31 (July 2008): 5243–45. http://dx.doi.org/10.1016/j.physleta.2008.06.005.

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Dissertations / Theses on the topic "Scattering matrix method"

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Wang, Peng. "IMPEDANCE-TO-SCATTERING MATRIX METHOD FOR LARGE SILENCER ANALYSIS." UKnowledge, 2017. https://uknowledge.uky.edu/me_etds/102.

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Large silencers used in the power generation industry usually have a very large cross section at the inlet and outlet. Higher-order modes will populate the inlet and outlet even at very low frequencies. Although the silencer itself is often modeled by a three-dimensional analysis tool such as the boundary element method (BEM) or finite element method (FEM), a direct computation of the transmission loss (TL) from the BEM or FEM model can be challenging without incorporating certain forms of modal expansion. A so-called “impedance-to-scattering matrix method” is proposed to extract the modes at the inlet and outlet from the BEM impedance matrix based on the point collocation method. The BEM impedance matrix relates the sound pressures at the inlet and outlet to the corresponding particle velocities, while the scattering matrix relates the modes at the inlet and outlet. Normally there are more boundary elements than the total number of modes at the inlet and outlet, and a least-squares procedure is used to condense the element-based impedance matrix to the mode-based scattering matrix. The TL computation will follow if a certain form of the incident wave is assumed and the outlet is non-reflective. Several commonly used inlet/outlet configurations are considered in this dissertation, which include axisymmetric, non-axisymmetric circular, and rectangular inlet/outlet shapes. In addition to the single inlet and outlet silencers, large multi-inlet and multi-outlet silencers are also investigated. Besides the collocation-based impedance-to-scattering matrix method, an integral-based impedance-to-scattering matrix method based on the reciprocal identity is also proposed for large silencer analysis. Although it may be more time-consuming to perform the additional numerical integration, an integral-based method is free of any uncertainties associated with collocation points. The computational efficiency, accuracy and stability are compared between two proposed methods. One bonus effect of producing the scattering matrix is that it can also be used to combine subsystems in series connection. The Redheffer’s star product is introduced to combine scattering matrices of subsystems. In the design stage, rapid assessment of the silencer performance is always preferred. However, the existing analytical approaches are only suitable for simple dissipative silencers such as straight lined ducts. A two-dimensional first-mode semi-analytical solution is developed to quickly evaluate the performance of tuned dissipative silencers below the cut-off frequency. The semi-analytical solution can also serve as a validation tool for the BEM.
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Harvey, A. "Electron re-scattering from aligned molecules using the R-matrix method." Thesis, University College London (University of London), 2011. http://discovery.ucl.ac.uk/1302063/.

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Electron re-scattering in a strong laser field provides an important probe of molecular structure and processes, and can allow for time resolved study of nuclear and electronic dynamics at sub-femtosecond timescales with Angstrom spatial resolution. In such experiments a molecule is ionised in a strong, few cycle, laser field. The changes in sign of the laser field during the cycle can cause the electron to re-collide with its parent molecular ion. Under these circumstances the electron can either recombine leading to high harmonic generation, or it can be re-scattered. This scattering can be thought of as electron self-diffraction and the process has the potential to act as a detailed probe of the target molecule. It is usual for such experiments to be performed on aligned molecules, as the dynamics of the ionisation and re-collision changes with alignment. This introduces extra physics compared to the standard gas-phase, electron-molecule scattering problem. It is important for the understanding and analysis of such experiments to have a physically sound theoretical model of re-scattering which is capable of treating quantum mechanically the complicated scattering dynamics of an electron-molecular ion collision. This thesis explores the use of sophisticated ab initio quantum mechanical techniques to model this part of the re-scattering process. Previous theoretical models of the re-collision problem have thus greatly simplified this aspect of the problem. An introduction to attosecond physics, and a review of the relevant scattering and R-matrix theory is given. A simple preliminary model not including molecular alignment is described for molecules of experimental interest. Then the formalism for scattering from aligned linear molecules is presented. For linear molecules consisting of more than two atoms we use the polyatomic R-matrix codes. However the polyatomic version of the code only uses Abelian point groups which means that calculations on symmetric or asymmetric linear molecules are performed using the D2h or C2v point groups respectively. A further step is required, involving the reconstruction of T-matrices into the linear molecule symmetry groups D1h or C1v. The formalism for this is also presented. Finally differential and integral cross sections are presented for re-scattering for H2 and CO2.
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Weiss, Thomas. "Advanced numerical and semi-analytical scattering matrix calculations for modern nano-optics." Thesis, Clermont-Ferrand 2, 2011. http://www.theses.fr/2011CLF22150.

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Les propriétés optiques des nanomatériaux, tels que les cristaux photoniques ou les métamatériaux, ont reçu beaucoup d’attention dans les dernières années [1–9]. La dérivation numérique de ces propriétés se révèle pourtant très compliquée, en particulier dans le cas des structures métallo-diélectriques, qui comportent des résonances plasmoniques. C’est pourquoi des méthodes numériques avancées et des modèles semi-analytiques sont nécessaires. Dans cette thèse, nous montrerons que le formalisme de la matrice de diffraction peut satisfaire ces deux aspects. La méthode de la matrice de diffraction est un concept très général en physique. Dans le cas des structures périodiques, on peut dériver la matrice de diffraction à l’aide de la méthode modale de Fourier [10]. Pour la description exacte des géométries planes, nous avons développé la méthode des coordonnées adaptées [11], qui nous donne un nouveau système de coordonnées, dans lequel les interfaces des matériaux sont des surfaces de coordonnées constantes. En combinaison avec la méthode de la résolution spatiale adaptative, la méthode des coordonnées adaptées permet d’améliorer considérablement la convergence de la méthode modale de Fourier, de telle sorte qu’on peut calculer des structures métalliques compliquées très efficacement. Si on utilise la matrice de diffraction, il est non seulement possible de dériver les propriétés optiques en illumination de champ lointain, comme la transmission, la réflexion, l’absorption, et le champ proche, mais aussi de décrire l’émission d’un objet à l’intérieur d’une structure et d’obtenir les résonances optiques d’un sytème. Dans cette thèse, nous présenterons une méthode efficace pour la dérivation des résonances optiques tridimensionnelles, utilisant directement la matrice de diffraction [14]. Si on connaît les résonances d’un système isolé, il est aussi possible d’obtenir une approximation des résonances dans le cas d’un système combiné à l’aide de notre méthode du couplage des résonances [15, 16]. Cette méthode permet de décrire le régime de couplage des champs lointain et proche, y compris le couplage fort avec les résonances Fabry-Perot, pour des systèmes qui se composent d’un empilement de deux structures planes et périodiques. Pour cette raison, on peut étudier efficacement le couplage de ces systèmes. Cette thèse est écrite de manière à donner une idée d’ensemble du formalisme de la matrice de diffraction et de la méthode modale de Fourier. En outre, nous décrivons notre généralisation de ces méthodes et nous montrons la validité de nos approches pour différents exemples
The optical properties of nanostructures such as photonic crystals and metamaterials have drawn a lot of attention in recent years [1–9]. The numerical derivation of these properties, however, turned out to be quite complicated, especially in the case of metallo-dielectric structures with plasmonic resonances. Hence, advanced numerical methods as well as semi-analytical models are required. In this work, we will show that the scattering matrix formalism can provide both. The scattering matrix approach is a very general concept in physics. In the case of periodic grating structures, the scattering matrix can be derived by the Fourier modal method [10]. For an accurate description of non-trivial planar geometries, we have extended the Fourier modal method by the concept of matched coordinates [11], in which we introduce a new coordinate system that contains the material interfaces as surfaces of constant coordinates. In combination with adaptive spatial resolution [12,13], we can achieve a tremendously improved convergence behavior which allows us to calculate complex metallic shapes efficiently. Using the scattering matrix, it is not only possible to obtain the optical properties for far field incidence, such as transmission, reflection, absorption, and near field distributions, but also to solve the emission from objects inside a structure and to calculate the optical resonances of a system. In this work, we provide an efficient method for the ab initio derivation of three-dimensional optical resonances from the scattering matrix [14]. Knowing the resonances in a single system, it is in addition possible to obtain approximated resonance positions for stacked systems using our method of the resonant mode coupling [15, 16]. The method allows describing both near field and far field regime for stacked two-layer systems, including the strong coupling to Fabry-Perot resonances. Thus, we can study the mutual coupling in such systems efficiently. The work will provide the reader with a basic understanding of the scattering matrix formalism and the Fourier modal method. Furthermore, we will describe in detail our extensions to these methods and show their validity for several examples
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Suryadharma, Radius Nagassa Setyo [Verfasser], and C. [Akademischer Betreuer] Rockstuhl. "T-matrix method for the analysis of electromagnetic scattering / Radius Nagassa Setyo Suryadharma ; Betreuer: C. Rockstuhl." Karlsruhe : KIT-Bibliothek, 2020. http://d-nb.info/1212512499/34.

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Zhai, Pengwang. "A fourth-order symplectic finite-difference time-domain (FDTD) method for light scattering and a 3D Monte Carlo code for radiative transfer in scattering systems." [College Station, Tex. : Texas A&M University, 2006. http://hdl.handle.net/1969.1/ETD-TAMU-1839.

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Alexander, Jennifer Mary. "Optical properties of mineral dust aerosol including analysis of particle size, composition, and shape effects, and the impact of physical and chemical processing." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1819.

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Atmospheric mineral dust has a large impact on the earth’s radiation balance and climate. The radiative effects of mineral dust depend on factors including, particle size, shape, and composition which can all be extremely complex. Mineral dust particles are typically irregular in shape and can include sharp edges, voids, and fine scale surface roughness. Particle shape can also depend on the type of mineral and can vary as a function of particle size. In addition, atmospheric mineral dust is a complex mixture of different minerals as well as other, possibly organic, components that have been mixed in while these particles are suspended in the atmosphere. Aerosol optical properties are investigated in this work, including studies of the effect of particle size, shape, and composition on the infrared (IR) extinction and visible scattering properties in order to achieve more accurate modeling methods. Studies of particle shape effects on dust optical properties for single component mineral samples of silicate clay and diatomaceous earth are carried out here first. Experimental measurements are modeled using T-matrix theory in a uniform spheroid approximation. Previous efforts to simulate the measured optical properties of silicate clay, using models that assumed particle shape was independent of particle size, have achieved only limited success. However, a model which accounts for a correlation between particle size and shape for the silicate clays offers a large improvement over earlier modeling approaches. Diatomaceous earth is also studied as an example of a single component mineral dust aerosol with extreme particle shapes. A particle shape distribution, determined by fitting the experimental IR extinction data, used as a basis for modeling the visible light scattering properties. While the visible simulations show only modestly good agreement with the scattering data, the fits are generally better than those obtained using more commonly invoked particle shape distributions. The next goal of this work is to investigate if modeling methods developed in the studies of single mineral components can be generalized to predict the optical properties of more authentic aerosol samples which are complex mixtures of different minerals. Samples of Saharan sand, Iowa loess, and Arizona road dust are used here as test cases. T-matrix based simulations of the authentic samples, using measured particle size distributions, empirical mineralogies, and a priori particle shape models for each mineral component are directly compared with the measured IR extinction spectra and visible scattering profiles. This modeling approach offers a significant improvement over more commonly applied models that ignore variations in particle shape with size or mineralogy and include only a moderate range of shape parameters. Mineral dust samples processed with organic acids and humic material are also studied in order to explore how the optical properties of dust can change after being aged in the atmosphere. Processed samples include quartz mixed with humic material, and calcite reacted with acetic and oxalic acid. Clear differences in the light scattering properties are observed for all three processed mineral dust samples when compared to the unprocessed mineral dust or organic salt products. These interactions result in both internal and external mixtures depending on the sample. In addition, the presence of these organic materials can alter the mineral dust particle shape. Overall, however, these results demonstrate the need to account for the effects of atmospheric aging of mineral dust on aerosol optical properties. Particle shape can also affect the aerodynamic properties of mineral dust aerosol. In order to account for these effects, the dynamic shape factor is used to give a measure of particle asphericity. Dynamic shape factors of quartz are measured by mass and mobility selecting particles and measuring their vacuum aerodynamic diameter. From this, dynamic shape factors in both the transition and vacuum regime can be derived. The measured dynamic shape factors of quartz agree quite well with the spheroidal shape distributions derived through studies of the optical properties.
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Tricoli, Ugo [Verfasser], and Klaus [Akademischer Betreuer] Pfeilsticker. "Electromagnetic scattering with the GDT-matrix method: an application to irregular ice particles in cirrus / Ugo Tricoli ; Betreuer: Klaus Pfeilsticker." Heidelberg : Universitätsbibliothek Heidelberg, 2015. http://d-nb.info/1180501780/34.

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Azizoglu, Suha Alp. "Time Domain Scattering From Single And Multiple Objects." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609413/index.pdf.

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The importance of the T-matrix method is well-known when frequency domain scattering problems are of interest. With the relatively recent and wide-spread interest in time domain scattering problems, similar applications of the T-matrix method are expected to be useful in the time domain. In this thesis, the time domain spherical scalar wave functions are introduced, translational addition theorems for the time domain spherical scalar wave functions necessary for the solution of multiple scattering problems are given, and the formulation of time domain scattering of scalar waves by two spheres and by two scatterers of arbitrary shape is presented. The whole analysis is performed in the time domain requiring no inverse Fourier integrals to be evaluated. Scattering examples are studied in order to check the numerical accuracy, and demonstrate the utility of the expressions.
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Li, Ming. "The study of electromagnetic wave propagation in photonic crystals via planewave based transfer (scattering) matrix method with active gain material applications." [Ames, Iowa : Iowa State University], 2007.

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Chobeau, Pierre. "Modeling of sound propagation in forests using the transmission line matrix method : study of multiple scattering and ground effects related to forests." Thesis, Le Mans, 2014. http://www.theses.fr/2014LEMA1016/document.

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Les trois principaux phénomènes acoustiques propres au milieu forestier nécessitant d'être pris en compte sont (1) l'absorption due à la présence d'un sol multi-couche, (2) la diffusion multiple due à la présence d'obstacles tels que les troncs, (3) les effets micro-météorologiques rattachés aux variations des gradients de vitesse de vent et de température. Parmi les méthodes numériques de référence, la méthode des lignes de transmission (TLM), semble particulièrement adaptée pour la modélisation de la propagation acoustique en présence de forêt, à condition de procéder à de nouveaux développements. La première nécessité pour l'adaptation de la méthode TLM aux simulations acoustiques sur de grandes distances est la définition de couches absorbantes, permettant de tronquer efficacement le domaine d'étude, sans introduire de réflexions parasites. La formulation ainsi développée dans le cadre de la thèse est rigoureusement équivalente à l'équation de propagation des ondes amorties, et se traduit dans la méthode TLM par l'introduction et l'optimisation d'un terme de dissipation. L'étape suivante a consisté à vérifier la capacité de la méthode TLM à modéliser les phénomènes de diffusion par des cylindres. L’une des originalités introduites dans cette thèse réside dans le placement des éléments diffuseurs, à partir de lois de distribution aléatoire et de Gibbs, permettant ainsi de définir des répartitions proches de celles rencontrées en forêt. À titre d'application de la méthode développée dans le cadre de la thèse, une étude paramétrique a été réalisée afin de définir les conditions pour lesquelles une forêt peut également être considérée comme un dispositif de protection
The prediction of sound propagation in presence of forest remains a major challenge for the outdoor sound propagation community. Reference numerical models such as the Transmission Line Matrix (TLM) method can be developed in order to accurately predict each acoustical phenomenon that takes place inside forest. The first need for the TLM method is an efficient theory-based absorbing layer formulation that enables the truncation of the numerical domain. The two proposed absorbing layer formulations are based on the approximation of the perfectly matched layer theory. The most efficient proposed formulation is shown to be equivalent to wave propagation in a lossy media, which, in the TLM method formulation, is introduced using an additional dissipation term. Then, the ability of the TLM method for the simulation of scattering is studied comparing the numerical results to both analytical solutions and measurements on scale models. Lastly, the attenuation of acoustic levels by a simplified forest is numerically studied using several arrangements of cylinders placed normal to either reflecting or absorbing ground. It is observed that randomly spaced arrangements are more inclined to attenuate acoustic waves than periodic arrangements. Moreover, the sensitivity to the density, the length of the array and the ground absorption is tested. The main trend shows that the density and the distribution are two important parameters for the attenuation. In future work, it can be interesting to look at the sensitivity of each parameter. This study could then be used to relate the morphology (i.e. distribution, density, length) of a forest to the acoustical properties of the forest
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Books on the topic "Scattering matrix method"

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Thomas, Wriedt, and Eremin Yuri, eds. Light scattering by systems of particles: Null-field method with discrete sources : theory and programs. Berlin: Springer, 2006.

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C, Hill S., ed. Light scattering by particles: Computational methods. Singapore: World Scientific, 1990.

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G, Burke P., and Berrington Keith A, eds. Atomic and molecular processes: An R-matrix approach. Bristol: Institute of Physics Pub., 1993.

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Chain-scattering approach to h[infinity] control. Boston: Birkhauser, 2012.

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Abdelmonem, Mohamed S., Eric J. Heller, Abdulaziz D. Alhaidari, and Hashim A. Yamani. J-Matrix Method: Developments and Applications. Springer Netherlands, 2010.

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The J-matrix method: Developments and applications. Dordrecht: Springer, 2008.

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(Editor), Abdulaziz D. Alhaidari, Eric J. Heller (Editor), H. A. Yamani (Editor), and Mohamed S. Abdelmonem (Editor), eds. The J-matrix Method: Recent Developments and Selected Applications. Springer, 2008.

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Kachelriess, Michael. Scattering processes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0009.

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The unitarity of the S-matrix is used to derive the optical theorem. The connection between Green functions and scattering amplitudes given by the LSZ reduction formula is derived. The trace and the helicity method are developed and applied to the calculation of QED processes. The emission of soft photons and gravitons is discussed. In an appendix, the connection between S-matrix elements, Feynman amplitudes and decay rates or cross-sections is derived.
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Invariant Imbedding T-Matrix Method for Light Scattering by Nonspherical and Inhomogeneous Particles. Elsevier, 2020. http://dx.doi.org/10.1016/c2018-0-02999-0.

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Yang, Ping, Michael Kahnert, Bingqiang Sun, Lei Bi, and George Kattawar. Invariant Imbedding T-Matrix Method for Light Scattering by Nonspherical and Inhomogeneous Particles. Elsevier, 2019.

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Book chapters on the topic "Scattering matrix method"

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Gillan, C. J., P. G. Burke, C. J. Noble, and L. A. Morgant. "Low Energy Electron Scattering by Diatomic Molecules Using the R-matrix Method." In Electron-Molecule Scattering and Photoionization, 237–46. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-1049-5_18.

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Burke, P. G., and C. J. Noble. "Inelastic Electron-Molecule Scattering Using the R-Matrix Method." In Swarm Studies and Inelastic Electron-Molecule Collisions, 265–83. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4662-6_38.

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Wei, Peijun, and Li Zhang. "T-Matrix Method of Elastic Wave Scattering on Imperfect Interface." In Computational Mechanics, 412. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75999-7_212.

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Rivlin, Tom, Laura K. McKemmish, and Jonathan Tennyson. "Low-Temperature Scattering with the R-Matrix Method: The Morse Potential." In Springer Proceedings in Physics, 257–73. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9969-5_25.

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Muttiah, Ranjan S. "Application of the T-Matrix Method to Light Scattering from a Leaf." In From Laboratory Spectroscopy to Remotely Sensed Spectra of Terrestrial Ecosystems, 109–20. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-1620-8_5.

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Somerville, Walter R. C., B. Auguié, and E. C. Le Ru. "An Improved Method for T-Matrix Calculations of Light Scattering by Spheroidal Particles." In NATO Science for Peace and Security Series B: Physics and Biophysics, 553–54. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9133-5_66.

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Wei, P. S. P. "Plasma Resonance Effects in Radar Backscattering from Meteor Trails as Studied by the Scattering Matrix Method." In Direct and Inverse Methods in Radar Polarimetry, 1043–56. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-010-9243-2_45.

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Chadan, K., P. C. Sabatier, and R. G. Newton. "Potentials from the Scattering Amplitude at Fixed Energy: Matrix Methods." In Inverse Problems in Quantum Scattering Theory, 195–213. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83317-5_12.

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Noble, C. J. "R-Matrix Techniques for Intermediate Energy Scattering and Photoionization." In Computational Methods for Electron—Molecule Collisions, 309–26. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4757-9797-8_14.

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Jan-Michael, Rost. "Inelastic Scattering with Coulomb Forces: A Semiclassical S-matrix Approach." In New Methods in Quantum Theory, 297–310. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0227-5_16.

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Conference papers on the topic "Scattering matrix method"

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Hu, Xinhua, Jiangrong Cao, Ming Li, Zhuo Ye, Mamoru Miyawaki, and Kai-Ming Ho. "Gain-scattering-matrix method for photonic crystal laser simulations." In NanoScience + Engineering, edited by Sharon M. Weiss, Ganapathi S. Subramania, and Florencio Garcia-Santamaria. SPIE, 2007. http://dx.doi.org/10.1117/12.740982.

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Zhang, Xia, Jing Li, John F. Donegan, and A. Louise Bradley. "Transfer Matrix Method for Kerker-type Scattering of Metasurface." In CLEO: Applications and Technology. Washington, D.C.: OSA, 2021. http://dx.doi.org/10.1364/cleo_at.2021.jw1a.5.

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Li, Shiyong, Xin Lv, Houjun Sun, and Weidong Hu. "Scattering Centers Measurements Using a Modified Matrix Pencil Method." In 2006 8th international Conference on Signal Processing. IEEE, 2006. http://dx.doi.org/10.1109/icosp.2006.346039.

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Yoon, Changjin, Owen Graham, Fei Han, Kwanwoo Kim, Katsuo Maxted, Thomas Caley, and Jong Guen Lee. "LES-Based Scattering Matrix Method for Low-Order Acoustic Network Models." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-65123.

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The identification of scattering matrix method is conducted using high fidelity Large Eddy Simulations. From a series of LES results, the scattering matrices of a plain orifice and a lean premixed nozzle are evaluated and compared with the corresponding experimental data. It is confirmed that LES simulations are capable of predicting the acoustic scattering matrix, with some limitations. The magnitude of the scattering matrices imply that the acoustic energy transfer across the orifice and mixer agree fairly well with that of the scattering matrices from the experimental data. Moreover, the phase angle of transmission/reflection elements for the traveling wave in the upstream region consistently follows the experimental trends. The phase angle of transmission/reflection elements for traveling waves in the downstream region, however, shows a significant discrepancy with the experimental measurements. For the direct use of the LES-based scattering matrix method, the accuracy of determination of the phase angle of reflection/transmission of the traveling wave in the downstream region needs further study.
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Martini, Enrica, Cristian Della Giovampaola, Alberto Toccafondi, and Stefano Maci. "Scattering matrix domain decomposition method formalized with different wave propagators." In 2012 6th European Conference on Antennas and Propagation (EuCAP). IEEE, 2012. http://dx.doi.org/10.1109/eucap.2012.6206502.

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Ding, Kung-Hau. "Light scattering of fractal aerosol aggregates using T-matrix method." In Aerospace Sensing, edited by Anton Kohnle and Walter B. Miller. SPIE, 1992. http://dx.doi.org/10.1117/12.137880.

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Scarborough, Cody, and Anthony Grbic. "Modified Floquet Scattering Matrix Method for Solving N-path Networks." In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting. IEEE, 2019. http://dx.doi.org/10.1109/apusncursinrsm.2019.8888908.

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Sohl, Christian, and Mats Gustafsson. "The T-matrix method for solving two-dimensional scattering problems." In 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010). IEEE, 2010. http://dx.doi.org/10.1109/ursi-emts.2010.5637299.

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Tennyson, Jonathan. "Electronic excitation in electron molecule scattering using the R-matrix method." In The 19th international conference on the physics of electronic and atomic collisions. AIP, 1996. http://dx.doi.org/10.1063/1.49816.

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El-Babli, I., A. Sebak, and N. Simons. "Scattering from biological tissue using the SCN transmission line matrix method." In 1998 Symposium on Antenna Technology and Applied Electromagnetics. IEEE, 1998. http://dx.doi.org/10.1109/antem.1998.7861696.

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Reports on the topic "Scattering matrix method"

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Jones, Roger M. Circuit and Scattering Matrix Analysis of the Wire Measurement Method of Beam Impedance in Accelerating Structures. Office of Scientific and Technical Information (OSTI), May 2003. http://dx.doi.org/10.2172/813147.

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Zhuo, Ye. The theoretical study of passive and active optical devices via planewave based transfer (scattering) matrix method and other approaches. Office of Scientific and Technical Information (OSTI), January 2011. http://dx.doi.org/10.2172/1029601.

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LI, Ming. The Study of Electromagnetic Wave Propogation in Photonic Crystals Via Planewave Based Transfer (Scattering) Matrix Method with Active Gain Material Applications. Office of Scientific and Technical Information (OSTI), January 2007. http://dx.doi.org/10.2172/933133.

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Galili, Naftali, Roger P. Rohrbach, Itzhak Shmulevich, Yoram Fuchs, and Giora Zauberman. Non-Destructive Quality Sensing of High-Value Agricultural Commodities Through Response Analysis. United States Department of Agriculture, October 1994. http://dx.doi.org/10.32747/1994.7570549.bard.

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The objectives of this project were to develop nondestructive methods for detection of internal properties and firmness of fruits and vegetables. One method was based on a soft piezoelectric film transducer developed in the Technion, for analysis of fruit response to low-energy excitation. The second method was a dot-matrix piezoelectric transducer of North Carolina State University, developed for contact-pressure analysis of fruit during impact. Two research teams, one in Israel and the other in North Carolina, coordinated their research effort according to the specific objectives of the project, to develop and apply the two complementary methods for quality control of agricultural commodities. In Israel: An improved firmness testing system was developed and tested with tropical fruits. The new system included an instrumented fruit-bed of three flexible piezoelectric sensors and miniature electromagnetic hammers, which served as fruit support and low-energy excitation device, respectively. Resonant frequencies were detected for determination of firmness index. Two new acoustic parameters were developed for evaluation of fruit firmness and maturity: a dumping-ratio and a centeroid of the frequency response. Experiments were performed with avocado and mango fruits. The internal damping ratio, which may indicate fruit ripeness, increased monotonically with time, while resonant frequencies and firmness indices decreased with time. Fruit samples were tested daily by destructive penetration test. A fairy high correlation was found in tropical fruits between the penetration force and the new acoustic parameters; a lower correlation was found between this parameter and the conventional firmness index. Improved table-top firmness testing units, Firmalon, with data-logging system and on-line data analysis capacity have been built. The new device was used for the full-scale experiments in the next two years, ahead of the original program and BARD timetable. Close cooperation was initiated with local industry for development of both off-line and on-line sorting and quality control of more agricultural commodities. Firmalon units were produced and operated in major packaging houses in Israel, Belgium and Washington State, on mango and avocado, apples, pears, tomatoes, melons and some other fruits, to gain field experience with the new method. The accumulated experimental data from all these activities is still analyzed, to improve firmness sorting criteria and shelf-life predicting curves for the different fruits. The test program in commercial CA storage facilities in Washington State included seven apple varieties: Fuji, Braeburn, Gala, Granny Smith, Jonagold, Red Delicious, Golden Delicious, and D'Anjou pear variety. FI master-curves could be developed for the Braeburn, Gala, Granny Smith and Jonagold apples. These fruits showed a steady ripening process during the test period. Yet, more work should be conducted to reduce scattering of the data and to determine the confidence limits of the method. Nearly constant FI in Red Delicious and the fluctuations of FI in the Fuji apples should be re-examined. Three sets of experiment were performed with Flandria tomatoes. Despite the complex structure of the tomatoes, the acoustic method could be used for firmness evaluation and to follow the ripening evolution with time. Close agreement was achieved between the auction expert evaluation and that of the nondestructive acoustic test, where firmness index of 4.0 and more indicated grade-A tomatoes. More work is performed to refine the sorting algorithm and to develop a general ripening scale for automatic grading of tomatoes for the fresh fruit market. Galia melons were tested in Israel, in simulated export conditions. It was concluded that the Firmalon is capable of detecting the ripening of melons nondestructively, and sorted out the defective fruits from the export shipment. The cooperation with local industry resulted in development of automatic on-line prototype of the acoustic sensor, that may be incorporated with the export quality control system for melons. More interesting is the development of the remote firmness sensing method for sealed CA cool-rooms, where most of the full-year fruit yield in stored for off-season consumption. Hundreds of ripening monitor systems have been installed in major fruit storage facilities, and being evaluated now by the consumers. If successful, the new method may cause a major change in long-term fruit storage technology. More uses of the acoustic test method have been considered, for monitoring fruit maturity and harvest time, testing fruit samples or each individual fruit when entering the storage facilities, packaging house and auction, and in the supermarket. This approach may result in a full line of equipment for nondestructive quality control of fruits and vegetables, from the orchard or the greenhouse, through the entire sorting, grading and storage process, up to the consumer table. The developed technology offers a tool to determine the maturity of the fruits nondestructively by monitoring their acoustic response to mechanical impulse on the tree. A special device was built and preliminary tested in mango fruit. More development is needed to develop a portable, hand operated sensing method for this purpose. In North Carolina: Analysis method based on an Auto-Regressive (AR) model was developed for detecting the first resonance of fruit from their response to mechanical impulse. The algorithm included a routine that detects the first resonant frequency from as many sensors as possible. Experiments on Red Delicious apples were performed and their firmness was determined. The AR method allowed the detection of the first resonance. The method could be fast enough to be utilized in a real time sorting machine. Yet, further study is needed to look for improvement of the search algorithm of the methods. An impact contact-pressure measurement system and Neural Network (NN) identification method were developed to investigate the relationships between surface pressure distributions on selected fruits and their respective internal textural qualities. A piezoelectric dot-matrix pressure transducer was developed for the purpose of acquiring time-sampled pressure profiles during impact. The acquired data was transferred into a personal computer and accurate visualization of animated data were presented. Preliminary test with 10 apples has been performed. Measurement were made by the contact-pressure transducer in two different positions. Complementary measurements were made on the same apples by using the Firmalon and Magness Taylor (MT) testers. Three-layer neural network was designed. 2/3 of the contact-pressure data were used as training input data and corresponding MT data as training target data. The remaining data were used as NN checking data. Six samples randomly chosen from the ten measured samples and their corresponding Firmalon values were used as the NN training and target data, respectively. The remaining four samples' data were input to the NN. The NN results consistent with the Firmness Tester values. So, if more training data would be obtained, the output should be more accurate. In addition, the Firmness Tester values do not consistent with MT firmness tester values. The NN method developed in this study appears to be a useful tool to emulate the MT Firmness test results without destroying the apple samples. To get more accurate estimation of MT firmness a much larger training data set is required. When the larger sensitive area of the pressure sensor being developed in this project becomes available, the entire contact 'shape' will provide additional information and the neural network results would be more accurate. It has been shown that the impact information can be utilized in the determination of internal quality factors of fruit. Until now,
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