Thematische Bibliographien / Nonlinear anisotropic medium

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Auswahl der wissenschaftlichen Literatur zum Thema „Nonlinear anisotropic medium“

Autor: Grafiati
Veröffentlicht am 4. Juni 2025
Zuletzt aktualisiert am 1. August 2025

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Zeitschriftenartikel zum Thema "Nonlinear anisotropic medium"

1

SILI, ALI. "HOMOGENIZATION OF A NONLINEAR MONOTONE PROBLEM IN AN ANISOTROPIC MEDIUM." Mathematical Models and Methods in Applied Sciences 14, no. 03 (2004): 329–53. http://dx.doi.org/10.1142/s0218202504003258.

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This paper deals with an analysis of a nonlinear monotone conduction problem posed on a medium which we assume to be anisotropic and periodically reinforced by thin fibers also assumed to be anisotropic. We consider the case where the conductivity in the fibers are more important than in the material which surrounds it so that the operator we have to consider loses his uniform ellipticity with respect to the size ε of the period; we then investigate the effect of the anisotropy in the homogenization process.
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2

Dadashyan L.H., Trofimov R.R., Konobeeva N.N., and Belonenko M.B. "Extremely short pulses in an anisotropic optical medium containing carbon nanotubes with metal conduction." Optics and Spectroscopy 130, no. 12 (2022): 1587. http://dx.doi.org/10.21883/eos.2022.12.55246.49-22.

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In this work, we study the interaction of extremely short pulses with a nonlinear anisotropic optical medium with carbon nanotubes (armchair and zigzag type) with metallic conductivity. The dependence of the pulse shape, width, and intensity on the nanotube chirality indices is analyzed. The most appropriate type of carbon nanotubes is substantiated for providing localized propagation of an electromagnetic field in a medium with anisotropic properties. Keywords: optical anisotropy, extremely short pulse, carbon nanotubes, metallic conduc.
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Bekrenev, Ruslan K., Geser A. Dugarov, and Tatyana V. Nefedkina. "TESTING OF AN OPTIMIZATION ALGORITHM FOR AVAZ INVERSION ON SYNTHETIC DATASET." Interexpo GEO-Siberia 2, no. 1 (2021): 354–61. http://dx.doi.org/10.33764/2618-981x-2021-2-1-354-361.

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In the paper, we study an optimization algorithm for a nonlinear AVAZ inversion of PP reflections from an anisotropic media. The algorithm is based on the exact formulas for PP wave reflection coefficient for an anisotropic HTI medium and could be applied in the case of strong-contrast boundary and various anisotropy degree. Algorithm testing on synthetic dataset for radial survey system shows that estimation of anisotropy parameters γ , δ and HTI medium symmetry axis is robust in the case of signal to noise ratio ≥ 5. For estimation of parameter ε far offset data is needed.
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Nefedkina, T. V., P. A. Lykhin, and G. A. Dugarov. "DETERMINATION OF AZIMUTHAL ANISOTROPIC MEDIA ELASTIC PARAMETERS FROM MULTIWAVE AVOA DATA BY NONLINEAR OPTIMIZATION METHOD." Russian Journal of geophysical technologies, no. 2 (January 29, 2019): 14–26. http://dx.doi.org/10.18303/2619-1563-2018-2-2.

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In this paper, we investigate optimization algorithm of joint nonlinear AVOA inversion of PP+PS reflections in anisotropic media. Algorithm is based on the exact solution for PP and PS waves reflection coefficients in anisotropic HTI medium. The PP and PS wave’s reflections from the top of the anisotropic layer are examined. We use synthetic seismograms generated by ray method for the algorithm testing. We show that joint compressional and converted wave’s inversion allows increasing the robustness of the method and the accuracy of medium-parameter estimates. Coefficients of anisotropy are det
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Sarkar, Debashish, Andrey Bakulin, and Robert L. Kranz. "Anisotropic inversion of seismic data for stressed media: Theory and a physical modeling study on Berea Sandstone." GEOPHYSICS 68, no. 2 (2003): 690–704. http://dx.doi.org/10.1190/1.1567240.

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Nonhydrostatic stress, an often‐ignored source of seismic anisotropy, is universally present in the subsurface and may be as common as intrinsic or fracture‐induced anisotropy. Nonhydrostatic stress, applied to an initially transversely isotropic solid with vertical symmetry axis (VTI), results in an effective medium having almost orthorhombic symmetry (provided that one of the principal stresses is aligned with the symmetry axis). The symmetry planes observed in this orthorhombic medium are aligned with the orientations of the principal stresses, and anisotropic parameters (ε(1,2), δ(1,2,3),
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6

Berthier, Serge. "Anisotropic effective medium theories." Journal de Physique I 4, no. 2 (1994): 303–18. http://dx.doi.org/10.1051/jp1:1994139.

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7

Wang, Duanliang, Tingbin Li, Shenglai Wang, et al. "Study on nonlinear refractive properties of KDP and DKDP crystals." RSC Advances 6, no. 18 (2016): 14490–95. http://dx.doi.org/10.1039/c5ra24761f.

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The nonlinear refractive index n<sub>2</sub> is an important parameter for the nonlinear optical properties of a medium. Especially for the anisotropic media, the nonlinear refractive index is closely related with the direction.
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HONG, QINGQUAN. "POWER-FLOW DENSITY OF ELECTRIC QUADRUPOLE RADIATION IN MAGNETIC ANISOTROPIC MEDIUM." International Journal of Modern Physics B 22, no. 03 (2008): 239–45. http://dx.doi.org/10.1142/s0217979208038569.

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The radium in anisotropic medium is investigated. A general formula is worked out for showing power-flow of electric quadrupole radiation with tensor form in anisotropic magnetic medium. After substituting the radiation field of electric quadrupole into this general formula, an expression of average power-flow density electric quadrupole radium in anisotropic magnetic medium is then obtained at anisotropic rectangular coordinate system through dyadic calculation. After coordinate transformation, an expression of average power-flow density of electric quadrupole radium in anisotropic magnetic m
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Dugarov, G. A., T. V. Nefedkina, I. Yu Bogatyrev, N. A. Goreiavchev, G. M. Mitrofanov, and T. V. Olneva. "Application of AVAZ inversion algorithm based on exact formulas to a wide-azimuth seismic survey data." PROneft’. Proffessional’no o nefti 6, no. 2 (2021): 12–19. http://dx.doi.org/10.51890/2587-7399-2021-6-2-12-19.

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Results of applying of nonlinear AVAZ inversion optimization algorithm to data from 3D wide-azimuth seismic survey in the Republic of Serbia are presented. The algorithm is based on exact reflection coefficients formulas for PP reflection from anisotropic medium. We compare it with a conventional algorithm based on Ruger linear approximation of P-wave reflection from a boundary between isotropic and anisotropic (HTI) media. Maps of fracture orientation and anisotropy degree are more detailed in the case of using AVAZ inversion based on exact formulas. The results are in general accordance with
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Дадашян, Л. Х., Р. Р. Трофимов, Н. Н. Конобеева та М. Б. Белоненко. "Предельно короткие импульсы в оптически анизотропной среде, содержащей углеродные нанотрубки с металлической проводимостью". Оптика и спектроскопия 130, № 12 (2022): 1861. http://dx.doi.org/10.21883/os.2022.12.54092.49-22.

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In this work, we study the interaction of extremely short pulses with a nonlinear anisotropic optical medium with carbon nanotubes (armchair and zigzag type) with metallic conductivity. The dependence of the pulse shape, width, and intensity on the nanotube chirality indices is analyzed. The most appropriate type of carbon nanotubes is substantiated for providing localized propagation of an electromagnetic field in a medium with anisotropic properties.
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Dissertationen zum Thema "Nonlinear anisotropic medium"

1

Dolaptchiev, Stamen. "An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics /." Potsdam : Potsdam Institute für Climate Impact Research, 2005. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=014749296&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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2

Chen, Chang-Qua, and 陳章桂. "Nonlinear Transient Thermal Stresses in a Multilayered Anisotropic Medium." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/24687513820203536299.

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Buchteile zum Thema "Nonlinear anisotropic medium"

1

Yang, Fu-Bao, and Ji-Ping Huang. "Transformation Thermotics and Effective Medium Theory for Thermal Conduction." In Diffusionics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-0487-3_4.

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AbstractIn this Chapter, we embark on an exploration of the intricacies of heat conduction, primarily delving into the transformation thermotics and the effective medium theory. Beginning with the foundational Fourier’s law of heat conduction, an intriguing observation is the form invariance of the associated equations under arbitrary coordinate transformations. This symmetry elucidates a novel method for orchestrating the temperature field and heat flux dynamics. To illustrate the practical implications and operationalizability of the thermal transformation, we conceptualized and implemented
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Kulikovskii, A., and E. Sveshnikova. "Finite Amplitude Waves in Weakly Anisotropic Media." In Nonlinear Waves in Elastic Media. CRC Press, 2021. http://dx.doi.org/10.1201/9781003210474-9.

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3

Franzone, P. Colli, L. Guerri, S. Rovida, and S. Tentoni. "A Model of Excitation Wavefronts Spreading in the Anisotropic Cardiac Tissue." In Nonlinear Wave Processes in Excitable Media. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3683-7_29.

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Kurrer, Christian, and Klaus Schulten. "Propagation of Chemical Waves in Discrete Excitable Media: Anisotropic and Isotropic Wave Fronts." In Nonlinear Wave Processes in Excitable Media. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3683-7_43.

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5

Druzhinin, A. B. "Nonlinear Ray Perturbation Theory with its Applications to Ray Tracing and Inversion in Anisotropic Media." In Seismic Waves in Laterally Inhomogeneous Media Part II. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9049-6_12.

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6

Chernov V.E. and Zon B.A. "Influence of the statistical and spatio-temporal features of laser pulse on its depolarization in a Kerr medium." In Atomic and Molecular Nonlinear Optics: Theory, Experiment and Computation. IOS Press, 2011. https://doi.org/10.3233/978-1-60750-742-0-504.

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Due to nonlinear rotation of polarization, the stochastic intensity and the spatio-temporal inhomogeneity of a multimode laser beam results to its depolarization when propagating in a nonlinear media. The ensemble and spatio-temporal averaging of Stokes parameters was performed analytically for an isotropic media and numerically for an anisotropic one. The experimentally measurable Stokes parameters show monotonic or oscillating decreasing dependence on the propagation distance; the characteristic depolarization length is evaluated. With respect to depolarization the anisotropic media is shown
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Newnham, Robert E. "Acoustic waves II." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0026.

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Acoustic impedance, acoustic losses, acoustic waves in piezoelectric solids, and surface waves are discussed in this chapter, along with a number of nonlinear acoustic phenomena. The reflection and transmission of acoustic waves across a boundary is governed by acoustic impedance. One of the most important boundary value problems in acoustics concerns a plane wave incident upon a planar surface, dividing one medium from another. In the general case of an anisotropic medium, the incident beam consists of three waves (one quasilongitudinal, two quasitransverse), each traveling at a different vel
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Brambilla, Marco. "Plasma Electrodynamics." In Kinetic Theory of Plasma Waves. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198559566.003.0002.

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Abstract In principle, the phenomenological description of electromagnetic wave propagation in plasmas can be regarded as a chapter of the electrodynamics of material media. Plasmas differ from usual materials in several respects, however, which can be traced to the fact that all charge carriers are free. Hence the distinction between polarization and conduction current, which is of fundamental importance for non-ionized media, becomes irrelevant. On the other hand, the influence of the thermal motion of ions and electrons on the propagation of electromagnetic waves cannot always be neglected;
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"Nonlinear Mediums." In Electromagnetic Anisotropy and Bianisotropy. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789811203145_0007.

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"Nonlinear Mediums." In Electromagnetic Anisotropy and Bianisotropy. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814289627_0007.

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Konferenzberichte zum Thema "Nonlinear anisotropic medium"

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Elias, Choque, and Apaza Leonardo. "A Simple Solution for an Electromagnetic Wave in a Third-Order Nonlinear Anisotropic Medium." In 2024 IEEE Eighth Ecuador Technical Chapters Meeting (ETCM). IEEE, 2024. http://dx.doi.org/10.1109/etcm63562.2024.10746081.

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2

Ustinov, N. V. "Optical solitons in an anisotropic medium with arbitrary dipole moments." In The International Conference on Coherent and Nonlinear Optics, edited by Yuri Kivshar and Nikolay Rosanov. SPIE, 2007. http://dx.doi.org/10.1117/12.751404.

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3

Weilnau, Carsten, Cornelia Denz, Marcus Ahles, et al. "Collisions of (2+l)D Dipole-mode vector solitons in an anisotropic nonlinear medium." In Nonlinear Guided Waves and Their Applications. OSA, 2002. http://dx.doi.org/10.1364/nlgw.2002.nlwb3.

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4

Kotkin, G. L., та V. G. Serbo. "Polarized laser beam as an anisotropic and gyrotropic medium for high-energy γ-quanta". У Eleventh International Vavilov Conference on Nonlinear Optics, редактор Sergei G. Rautian. SPIE, 1998. http://dx.doi.org/10.1117/12.328239.

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5

Hutchings, D. C., J. M. Arnold, and D. F. Parker. "Theory of mixed-polarisation spatial solitons in anisotropic cubic media." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nwe.18.

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AlGaAs is an attractive material system for the study of the dynamics of Kerr spatial solitons, having a nonlinear coefficient around 1000 times that of silica around the communication wavelength of 1.55 µm. However there are a number of differences between AlGaAs and silica when the polarisation dependence of nonlinear refraction is considered. Cubic semiconductors can display an anisotropic third-order nonlinearity1 (although in terms of linear optics they are non-birefringent) and are also usually exploited in the vicinity of an optical resonance (e.g. just below the half-bandgap) so Kleinm
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Yashina, N. F., and T. M. Zaboronkova. "Nonlinear interaction of surface waves guided by the metal-anisotropic medium interface." In International Seminar Day on Diffraction 2003. IEEE, 2003. http://dx.doi.org/10.1109/dd.2003.238286.

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7

DANCKAERT, Jan, Guy VITRANT, and Raymond REINISCH. "Polarization induced switching and bistability in a nonlinear prism coupler." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/nlgwp.1991.tug2.

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Polarization may be an interesting parameter in optical computing devices1. Polarization induced irradiance switching was proposed as a new switching mechanism in nonlinear Fabry-Perot (NLFP) etalons under oblique incidence 2. In this context, the stationary response of Fabry-Perot etalons containing an anisotropic medium exhibiting a diffusive Kerr-type nonlinearity was investigated 3. Here, we will adress the question of the influence of polarization on the response of a nonlinear prism coupler (NLPC), where the waveguide shows a diffusive third order nonlinearity.
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8

Jarem, J. M., and P. P. Banerjee. "Exact Nonlinear Full-field Anisotropic Analysis of Higher-order Diffraction in Photorefractive Barium Titanate." In Nonlinear Optics: Materials, Fundamentals and Applications. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/nlo.1996.ntua.8.

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Two-beam coupling in photorefractive (PR) materials has been extensively studied in the literature [1]. Theoretical analyses are based on linearized time dependent models [1], empirical predictions and nonlinear steady state albeit approximate theories. The difficulty in providing an analytical nonlinear time dependent theory is due to the inability to exactly decouple the Kukhtarev equations [1], and the fact that in a typical two-beam coupling setup, the PR crystal is finite and has a large linear refractive index mismatch with the surrounding medium if no matching liquid is used, prompting
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Mcgraw, Robert, and Dan Rogovin. "Polarization effects in anisotropic particle suspensions." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.thee4.

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Suspensions of anisotropic particles have demonstrated potential for nonlinear applications in the millimeter1 and optical2 wavelength regimes. In the millimeter regime, strong nonlinear effects may be obtained at very low power levels (1-10 W/ cm2) using stabilized suspensions of large ellipsoidal particles, which are still much smaller than the wavelength of light.1 At visible wavelengths, and correspondingly smaller particles, the strength of the nonlinear interaction is reduced while the response time of the medium is greatly improved.2 In particular, the reorientation times required to fo
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Tikhov, S. V., and D. V. Valovik. "Propagation of TM waves in a shielded dielectric waveguide filled with nonlinear anisotropic medium." In 2020 Days on Diffraction (DD). IEEE, 2020. http://dx.doi.org/10.1109/dd49902.2020.9274602.

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