Academic literature on the topic 'Time-Harmonic scattering'
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Journal articles on the topic "Time-Harmonic scattering":
Colton, David, and Rainer Kress. "Time harmonic electromagnetic waves in an inhomogeneous medium." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 116, no. 3-4 (1990): 279–93. http://dx.doi.org/10.1017/s0308210500031516.
Dassios, G., and K. S. Karadima. "Time harmonic acoustic scattering in anisotropic media." Mathematical Methods in the Applied Sciences 28, no. 12 (2005): 1383–401. http://dx.doi.org/10.1002/mma.609.
Spence, E. A. "Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering." SIAM Journal on Mathematical Analysis 46, no. 4 (January 2014): 2987–3024. http://dx.doi.org/10.1137/130932855.
Kress, Rainer. "Boundary integral equations in time-harmonic acoustic scattering." Mathematical and Computer Modelling 15, no. 3-5 (1991): 229–43. http://dx.doi.org/10.1016/0895-7177(91)90068-i.
Chandler-Wilde, Simon N., and Peter Monk. "Wave-Number-Explicit Bounds in Time-Harmonic Scattering." SIAM Journal on Mathematical Analysis 39, no. 5 (January 2008): 1428–55. http://dx.doi.org/10.1137/060662575.
Ishida, Atsuhide, and Masaki Kawamoto. "Critical scattering in a time-dependent harmonic oscillator." Journal of Mathematical Analysis and Applications 492, no. 2 (December 2020): 124475. http://dx.doi.org/10.1016/j.jmaa.2020.124475.
Shao, Yang, Zhen Peng, Kheng Hwee Lim, and Jin-Fa Lee. "Non-conformal domain decomposition methods for time-harmonic Maxwell equations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2145 (April 4, 2012): 2433–60. http://dx.doi.org/10.1098/rspa.2012.0028.
Hu, Guanghui, Wangtao Lu, and Andreas Rathsfeld. "Time-Harmonic Acoustic Scattering from Locally Perturbed Periodic Curves." SIAM Journal on Applied Mathematics 81, no. 6 (January 2021): 2569–95. http://dx.doi.org/10.1137/19m1301679.
Bao, Gang, Guanghui Hu, and Tao Yin. "Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes." SIAM Journal on Applied Mathematics 78, no. 5 (January 2018): 2672–91. http://dx.doi.org/10.1137/18m1164068.
Zhang, Cheng, Jin Yang, Liu Xi Yang, Jun Chen Ke, Ming Zheng Chen, Wen Kang Cao, Mao Chen, et al. "Convolution operations on time-domain digital coding metasurface for beam manipulations of harmonics." Nanophotonics 9, no. 9 (February 18, 2020): 2771–81. http://dx.doi.org/10.1515/nanoph-2019-0538.
Dissertations / Theses on the topic "Time-Harmonic scattering":
Cramer, Elena [Verfasser], and A. [Akademischer Betreuer] Kirsch. "Scattering of time-harmonic electromagnetic waves involving perfectly conducting and conductive transmission conditions / Elena Cramer ; Betreuer: A. Kirsch." Karlsruhe : KIT-Bibliothek, 2019. http://d-nb.info/1200470915/34.
Sharifian, Gh Mohammad. "Adsorption and Transport of Drug-Like Molecules at the Membrane of Living Cells Studied by Time-Resolved Second-Harmonic Light Scattering." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/524558.
Ph.D.
Understanding molecular interactions at the surfaces of cellular membranes, including adsorption and transport, is of fundamental importance in both biological and pharmaceutical studies. At present, particularly with respect to small and medium size (drug-like) molecules, it is desirable to gain an understanding of the mechanisms that govern membrane adsorption and transport. To characterize drug-membrane interactions and mechanisms governing the process of molecular uptake at cellular membranes in living organisms, we need to develop effective experimental techniques to reach quantitative and time-resolved analysis of molecules at the membrane surfaces. Also, we preferably want to develop label-free optical techniques suited for single-cell and live cell analysis. Here, I discuss the nonlinear optical technique, second-harmonic light scattering (SHS), for studying molecule-membrane interactions and transport of molecules at the membrane of living cells with real-time resolution and membrane surface-specificity. Time-resolved SHS can quantify adsorption and transport of molecules, with specific nonlinear optical properties, at living organisms without imposing any mechanical stress onto the membrane. This label-free and surface-sensitive technique can even differentiate molecular transport at individual membranes within a multi-membrane cell (e.g., bacteria). In this dissertation, I present our current research and accomplishments in extending the capabilities of the SHS technique to study molecular uptake kinetics at the membranes of living cells, to monitor bacteria membrane integrity, to characterize the antibacterial mechanism-of-action of antibiotic compounds, to update the molecular mechanism of the Gram-stain protocol, to pixel-wise mapping of the membrane viscosity of the living cells, and to probe drug-induced activation of bacterial mechanosensitive channels in vitro.
Temple University--Theses
MORTATI, LEONARDO MICHAEL. "Coherent Anti-Stokes Raman Scattering, Second Harmonic Generation and Two-Photon Excitation Fluorescence Multimodal Microscope: Realization, Metrological Characterization and Applications in Regenerative Medicine." Doctoral thesis, Politecnico di Torino, 2013. http://hdl.handle.net/11583/2509905.
Badia, Ismaïl. "Couplage par décomposition de domaine optimisée de formulations intégrales et éléments finis d’ordre élevé pour l’électromagnétisme." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0058.
In terms of computational methods, solving three-dimensional time-harmonic electromagnetic scattering problems is known to be a challenging task, most particularly in the high frequency regime and for dielectric and inhomogeneous scatterers. Indeed, it requires to discretize a system of partial differential equations set in an unbounded domain. In addition, considering a small wavelength λ in this case, naturally requires very fine meshes, and therefore leads to very large number of degrees of freedom. A standard approach consists in combining integral equations for the exterior domain and a weak formulation for the interior domain (the scatterer) resulting in a formulation coupling the Boundary Element Method (BEM) and the Finite Element Method (FEM). Although natural, this approach has some major drawbacks. First, this standard coupling method yields a very large system having a matrix with sparse and dense blocks, which is therefore generally hard to solve and not directly adapted to compression methods. Moreover, it is not possible to easily combine two pre-existing solvers, one FEM solver for the interior domain and one BEM solver for the exterior domain, to construct a global solver for the original problem. In this thesis, we present a well-conditioned weak coupling formulation between the boundary element method and the high-order finite element method, allowing the construction of such a solver. The approach is based on the use of a non-overlapping domain decomposition method involving optimal transmission operators. The associated transmission conditions are constructed through a localization process based on complex rational Padé approximants of the nonlocal Magnetic-to-Electric operators. The number of iterations required to solve this weak coupling is only slightly dependent on the geometry configuration, the frequency, the contrast between the subdomains and the mesh refinement
Hung-Liang-Tseng and 曾宏量. "The Scattering of a Vertical Transverse Isotropic Cylindrical Canyon Subjected to Time-Harmonic Elastic Wave." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/85611784979191904306.
國立臺灣大學
應用力學研究所
103
The objective of this research is to study the scattering of a vertically transversely isotropic cylindrical canyon subjected to the incidence of time harmonic plane elastic wave. The total displacement field of either the anti-plane or in-plane scattering problem can be decomposed into two parts, namely, free field as well as scattering filed part. The known free field part can be further separated into incident wave and reflected wave in order to satisfy the ground surface condition. While the unknown scattering field part is expanded into a series of n-th order outgoing singular solutions of Lamb’s problem with unknown amplitude which can be determined by boundary condition of canyon itself. The displacement field and stress field of each n-th order outgoing singular solutions of Lamb’s problem can only be expressed into a form of horizontal wave-number integral which can be evaluated efficiently in complex wave-number domain by using the so called steepest descend-stationary phase method. For in-plane scattering problem, the outgoing scattering field contains two kinds of wave field, namely, P wave and S wave, only two sheets of the four Riemann Surface are sufficient to describe the outgoing scattering field. In order to ensure the single value of a multi-value radical function in each Riemann sheet, the branch points and the associated branch cuts are carefully chosen according to the material considered. Least Square method is employed to solve the unknown coefficients of the expansion series of the scattering field. Once the coefficients are determined, the complete displacement field and stress field can be obtained.
SHIH, MING-CHOU, and 施名洲. "Scattering Problem of a Vertical Transverse Isotropic Circular Cylindrical Cavity Subjected to Time-Harmonic Elastic Wave." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/8r96d5.
Yang, Chiu-Hsiang, and 楊久庠. "Scattering Problem of a Vertical Transverse Isotropic Special Oblate Elliptical Cavity Subjected to Time-Harmonic Elastic Wave." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/7346s2.
國立臺灣大學
應用力學研究所
105
The objectives of this thesis is aim to study the scattering as well as the dynamic stress concentration phenomenon of a vertically transversely isotropic special oblate elliptic cylindrical cavity subjected to the obliquely incidence of time harmonic plane elastic wave. An incident plane wave field traveling through three different types of exterior medium then impinging onto a special oblate elliptic cylindrical cavity with certain specific aspect ratio. There will have different solution strategies according to different types of material property. Since the slowness surface for Magnesium is a circle, therefore, the original scattering problem needs not be converted in geometry. We use the classical cylindrical wave function to solve the corresponding scattering problem, directly. However, for Beryllium and Zinc , since their dimensionless material constant are not equal to 1, therefore, both the slowness surface of these two types of material are ellipse. In order to solve the corresponding scattering problem, firstly, we convert the original elliptical slowness surface for a transverse isotropic material into a circular slowness surface for an isotropic material. At the same time, the geometry of the original problem have been converted from a special oblate elliptical cavity into a circular cavity. In this thesis, two methods are used to solve the corresponding problem, namely, the separation of variable method as well as the discrete boundary collocation point method. We first use the separation of variable method to separate the classical wave function into the product of a Hankel function and a trigonometric function in classical cylindrical coordinate system, and then use the boundary condition of the circular cavity to solve the unknown scattering coefficients. Another alternative method is boundary collocation point method, we propose that after the transformation, the unknown scattering field part can be expanded into a series of n-th order wave function. Each wave function is defined by a trigonometric function angular spectrum along a complex contour integral path with a kernel function which is non-trivial plane wave solution of the corresponding wave equation. The trigonometric angular spectrum of each n-th order wave function can be further converted into an infinite horizontal slowness integral which can be evaluated efficiently in complex slowness domain by employing the steepest descend-stationary phase method. In order to satisfy the boundary condition at each boundary collocation point which allocate along the cavity surface, Least Square method is employed to obtain the unknown coefficient of the expansion series of the scattering field. Thus, the dynamic stress concentration phenomenon of a vertically transversely isotropic special oblate elliptic cylindrical cavity subjected to the obliquely incidence of time harmonic plane elastic wave is thoroughly studied by both of the proposed methods for three different typical materials.
NTIBARIKURE, LAURENT. "Contributions to the Art of Finite Element Analysis in Electromagnetics." Doctoral thesis, 2014. http://hdl.handle.net/2158/843133.
RUIJTER, MARCEL. "Radiation effects for the next generation of synchrotron radiation facilities." Doctoral thesis, 2022. http://hdl.handle.net/11573/1636547.
Books on the topic "Time-Harmonic scattering":
Martin, P. A. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles. Cambridge University Press, 2011.
Martin, P. A. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles. Cambridge University Press, 2010.
Martin, P. A. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles (Encyclopedia of Mathematics and its Applications). Cambridge University Press, 2006.
Werner, Douglas H., Sawyer D. Campbell, and Lei Kang. Nanoantennas and Plasmonics: Modelling, Design and Fabrication. Institution of Engineering & Technology, 2020.
Book chapters on the topic "Time-Harmonic scattering":
Kirsch, Andreas. "Inverse Scattering Theory for Time-Harmonic Waves." In Lecture Notes in Computational Science and Engineering, 337–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55483-4_9.
Krishnasamy, G., and F. J. Rizzo. "Time-Harmonic Elastic-Wave Scattering: The Role of Hypersingular Boundary Integral Equations." In Boundary Integral Methods, 311–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-85463-7_30.
Kushnir, Roman, Iaroslav Pasternak, and Heorhiy Sulym. "3D Time-Harmonic Elastic Waves Scattering on Shell-Like Rigid Movable Inclusions." In Advances in Mechanics, 313–27. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-37313-8_18.
Colton, David. "Two Methods for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves." In Constructive Methods for the Practical Treatment of Integral Equations, 103–9. Basel: Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9317-6_8.
Osterbrink, Frank, and Dirk Pauly. "10. Time-harmonic electro-magnetic scattering in exterior weak Lipschitz domains with mixed boundary conditions." In Maxwell’s Equations, edited by Ulrich Langer, Dirk Pauly, and Sergey Repin, 341–82. Berlin, Boston: De Gruyter, 2019. http://dx.doi.org/10.1515/9783110543612-010.
He, Sailing, Staffan Strom, and Vaughan H. Weston. "Time-Harmonic Wave-Splitting Approaches." In Time Domain Wave-Splittings and Inverse Problems, 229–89. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198565499.003.0006.
Boothroyd, Andrew T. "Nuclear Scattering." In Principles of Neutron Scattering from Condensed Matter, 127–84. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862314.003.0005.
Shyartsburg, A. B. "Fundamentals of Optics of Broadband Harmonic Pulses." In Time-domain Optics of Ultrashort Waveforms, 1–84. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198565093.003.0001.
Li, Jun-Pu, and Qing-Hua Qin. "Regularized Method of Moments for Time- Harmonic Electromagnetic Scattering." In Radial Basis Function Methods For Large-Scale Wave Propagation, 121–34. BENTHAM SCIENCE PUBLISHERS, 2021. http://dx.doi.org/10.2174/9781681088983121010010.
Adler, Stephen L. "Methods for Time Development." In Ouaternionic Quantum Mechanics and Ouanturn Fields, 194–217. Oxford University PressNew York, NY, 1995. http://dx.doi.org/10.1093/oso/9780195066432.003.0007.
Conference papers on the topic "Time-Harmonic scattering":
Kuditcher, A., M. P. Hehlen, S. C. Rand, B. Hoover, and E. Leith. "Time-gated harmonic imaging through scattering media." In Technical Digest Summaries of papers presented at the Conference on Lasers and Electro-Optics Conference Edition. 1998 Technical Digest Series, Vol.6. IEEE, 1998. http://dx.doi.org/10.1109/cleo.1998.676100.
Saillard, M. "Boundary integral equations for time-harmonic rough surface scattering." In 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003. IEEE, 2003. http://dx.doi.org/10.1109/isape.2003.1276730.
Brown, Kevin, Nicholas Geddert, and Ian Jeffrey. "A mixed Discontinuous Galerkin formulation for time-harmonic scattering problems." In 2016 17th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM). IEEE, 2016. http://dx.doi.org/10.1109/antem.2016.7550189.
Stoynov, Yonko D. "Scattering of time-harmonic antiplane shear waves in magnitoelectroelastic materials." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12): Proceedings of the 38th International Conference Applications of Mathematics in Engineering and Economics. AIP, 2012. http://dx.doi.org/10.1063/1.4766766.
Domnikov, Petr A., Maxim V. Ivanov, and Yulia I. Koshkina. "Finite Element Modeling of the Time-harmonic Electromagnetic Field Scattering into an Axisymmetric Medium." In 2021 Radiation and Scattering of Electromagnetic Waves (RSEMW). IEEE, 2021. http://dx.doi.org/10.1109/rsemw52378.2021.9494117.
Thalmayr, Florian, Ken-ya Hashimoto, Tatsuya Omori, and Masatsune Yamaguchi. "Fast evaluation of lamb wave scattering by time harmonic FEM simulation." In 2009 IEEE International Ultrasonics Symposium. IEEE, 2009. http://dx.doi.org/10.1109/ultsym.2009.5442068.
Denisenko, Pavel, and Vladimir Sotsky. "Allocation of an Exponentially Modulated Harmonic from a Short Nonstationary Time Series by the SSA Method." In 2019 Radiation and Scattering of Electromagnetic Waves (RSEMW). IEEE, 2019. http://dx.doi.org/10.1109/rsemw.2019.8792782.
Alwakil, A., G. Soriano, K. Belkebir, H. Giovannini, and S. Arhab. "Direct and iterative inverse wave scattering methods for time-harmonic far-field profilometry." In 2014 IEEE Conference on Antenna Measurements & Applications (CAMA). IEEE, 2014. http://dx.doi.org/10.1109/cama.2014.7003384.
Qiu, Lingyun, Maarten V. de Hoop, and Antônio Sá Barreto. "Modelling of time‐harmonic seismic data with the Helmholtz equation and scattering series." In SEG Technical Program Expanded Abstracts 2010. Society of Exploration Geophysicists, 2010. http://dx.doi.org/10.1190/1.3513491.
Clays, Koen, Geert Olbrechts, David Van Steenwinckel, and André Persoons. "Difference in relaxation time between coherent and incoherent second-harmonic generation." In Organic Thin Films for Photonic Applications. Washington, D.C.: Optica Publishing Group, 1997. http://dx.doi.org/10.1364/otfa.1997.thd.3.