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Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Quasiperiodic media.'
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Schwartz, Ira B., Ioana Triandaf, Joseph M. Starobin, and Yuri B. Chernyak. "Origin of quasiperiodic dynamics in excitable media." Physical Review E 61, no. 6 (June 1, 2000): 7208–11. http://dx.doi.org/10.1103/physreve.61.7208.
Gupta, S. Dutta, and Deb Shankar Ray. "Localization problem in optics: Nonlinear quasiperiodic media." Physical Review B 41, no. 12 (April 15, 1990): 8047–53. http://dx.doi.org/10.1103/physrevb.41.8047.
Chernikov, A. A., and A. V. Rogalsky. "Stochastic webs and continuum percolation in quasiperiodic media." Chaos: An Interdisciplinary Journal of Nonlinear Science 4, no. 1 (March 1994): 35–46. http://dx.doi.org/10.1063/1.166055.
Golden, K., S. Goldstein, and J. L. Lebowitz. "Discontinuous behavior of effective transport coefficients in quasiperiodic media." Journal of Statistical Physics 58, no. 3-4 (February 1990): 669–84. http://dx.doi.org/10.1007/bf01112770.
Badalyan, V. D. "Propagation of electromagnetic waves in one-dimensional quasiperiodic media." Astrophysics 49, no. 4 (October 2006): 538–42. http://dx.doi.org/10.1007/s10511-006-0052-9.
Sedrakian, D. M., A. A. Gevorgyan, A. Zh Khachatrian, and V. D. Badalyan. "Dissipation of electromagnetic waves in one-dimensional quasiperiodic media." Astrophysics 50, no. 1 (January 2007): 87–93. http://dx.doi.org/10.1007/s10511-007-0010-1.
Salat, A. "Localization of modes in media with a simple quasiperiodic modulation." Physical Review A 45, no. 2 (January 1, 1992): 1116–21. http://dx.doi.org/10.1103/physreva.45.1116.
Gorelik, Vladimir, Dongxue Bi, Natalia Klimova, Svetlana Pichkurenko, and Vladimir Filatov. "The electromagnetic field distribution in the 1D layered quasiperiodic dispersive media." Journal of Physics: Conference Series 1348 (December 2019): 012060. http://dx.doi.org/10.1088/1742-6596/1348/1/012060.
Mathieu-Potvin, François. "The method of quasiperiodic fields for diffusion in periodic porous media." Chemical Engineering Journal 304 (November 2016): 1045–63. http://dx.doi.org/10.1016/j.cej.2016.06.045.
Dissertations / Theses on the topic "Quasiperiodic media":
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Voisey, Ruth. "Multiple wave scattering by quasiperiodic structures." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/multiple-wave-scattering-by-quasiperiodic-structures(1c366ad1-443a-4667-9d03-db77487ab1d1).html.
Understanding the phenomenon of wave scattering by random media is a ubiquitous problem that has instigated extensive research in the field. This thesis focuses on wave scattering by quasiperiodic media as an alternative approach to provide insight into the effects of structural aperiodicity on the propagation of the waves. Quasiperiodic structures are aperiodic yet ordered so have attributes that make them beneficial to explore. Quasiperiodic lattices are also used to model the atomic structures of quasicrystals; materials that have been found to have a multitude of applications due to their unusual characteristics. The research in this thesis is motivated by both the mathematical and physical benefits of quasiperiodic structures and aims to bring together the two important and distinct fields of research: waves in heterogeneous media and quasiperiodic lattices. A review of the past literature in the area has highlighted research that would be beneficial to the applied mathematics community. Thus, particular attention is paid towards developing rigorous mathematical algorithms for the construction of several quasiperiodic lattices of interest and further investigation is made into the development of periodic structures that can be used to model quasiperiodic media. By employing established methods in multiple scattering new techniques are developed to predict and approximate wave propagation through finite and infinite arrays of isotropic scatterers with quasiperiodic distributions. Recursive formulae are derived that can be used to calculate rapidly the propagation through one- and two-dimensional arrays with a one-dimensional Fibonacci chain distribution. These formulae are applied, in addition to existing tools for two-dimensional multiple scattering, to form comparisons between the propagation in one- and two-dimensional quasiperiodic structures and their periodic approximations. The quasiperiodic distributions under consideration are governed by the Fibonacci, the square Fibonacci and the Penrose lattices. Finally, novel formulae are derived that allow the calculation of Bloch-type waves, and their properties, in infinite periodic structures that can approximate the properties of waves in large, or infinite, quasiperiodic media.
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Sun, Ning 1963. "Studies of Particles and Wave Propagation in Periodic and Quasiperiodic Nonlinear Media." Thesis, University of North Texas, 1995. https://digital.library.unt.edu/ark:/67531/metadc278708/.
This thesis examines the properties of transmission and transport of light and charged particles in periodic or quasiperiodic systems of solid state and optics, especially the nonlinear and external field effects and the dynamic properties of these systems.
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Amenoagbadji, Pierre. "Wave propagation in quasi-periodic media." Electronic Thesis or Diss., Institut polytechnique de Paris, 2023. http://www.theses.fr/2023IPPAE020.
L'objectif de la thèse est de développer des méthodes numériques originales pour la résolution de l'équation des ondes en régime harmonique dans des milieux quasi-périodiques, dans l'esprit des méthodes développées précédemment pour des milieux périodiques. L'idée est d'utiliser comme dans des travaux d'homogénéisation quasi-périodique le fait que l'étude d'une EDP elliptique avec des coefficients quasi-périodiques se ramène à l'étude d'une EDP elliptiquement dégénérée en dimension supérieure, mais dont les coefficients sont périodiques. Le caractère périodique permet d'utiliser des outils adaptés, mais le caractère non-elliptique rend toutefois l'analyse mathématique et numérique de l'EDP délicate. Une des applications étudiées dans ce manuscrit concerne des problèmes de transmission entre des demi-plans périodiques (typiquement des cristaux photoniques) quand (1) l'interface ne coupe pas les demi-plans périodiques dans une direction de périodicité, ou (2) quand les milieux périodiques n'ont pas des périodes commensurables le long de l'interface The goal of this thesis is to develop efficient numerical methods for the solution of the time-harmonic wave equation in quasiperiodic media, in the spirit of methods previously developed for periodic media. The goal is to use as in quasiperiodic homogenization the idea that an elliptic PDE with quasiperiodic coefficients can be interpreted as the cut of a higher-dimensional PDE which is elliptically degenerate, but with periodic coefficients. The periodicity property allows to use adapted tools, but the non-elliptic aspect makes the mathematical and numerical analysis of the PDE delicate. One application concerns transmission problems between periodic half-spaces (typically photonic crystals) when (1) the interface does not cut the periodic half-spaces in a direction of periodicity, or (2) when the periodic media have noncommensurate periods along the interface
Book chapters on the topic "Quasiperiodic media":
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Gupta, S. Dutta. "Localization of Photons in Random and Quasiperiodic Media." In Recent Developments in Quantum Optics, 15–22. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-2936-1_2.
Conference papers on the topic "Quasiperiodic media":
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MAYOU, D. "WAVE PROPAGATION IN QUASIPERIODIC MEDIA." In Proceedings of the Spring School on Quasicrystals. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812793201_0014.
Hattori, Toshiaki, Noriaki Tsurumachi, Sakae Kawato, and Hiroki Nakatsuka. "Time-Domain Interferometric Measurement of Photonic Band Structure in a One-Dimensional Quasicrystal." In International Conference on Ultrafast Phenomena. Washington, D.C.: Optica Publishing Group, 1994. http://dx.doi.org/10.1364/up.1994.md.14.
Although ultrashort optical pulses are used for the time-domain study of transmission of pulses through dispersive media, interferometric measurements using white light with an ultrashort correlation time can very often be much more powerful and useful [1,2]. Here, we present an application of Fourier-transform interferometry to the study of photonic band structure in a one-dimensional quasiperiodic structure. Photonic band formation in periodical dielectric structures and localization of light in random structures have been a subject of great interest in recent years [3]. Studies on photonic quasiperiodical structures will extend this new area of research furthermore. Our sample of one-dimensional quasiperiodic system was a photonic Fibonacci lattice, which was proposed by Kohmoto et al. [4]. Fractal behavior of wave functions and the energy spectrum in it has been theoretically predicted.
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Borulko, Valentine. "Shape Transformation of Wave Beams Falling on Quasiperiodic Media." In Proceedings of LFNM 2006. 8th International Conference on Laser and Fiber-Optical Networks Modeling. IEEE, 2006. http://dx.doi.org/10.1109/lfnm.2006.252051.
Gagnon, L., and C. Paré. "Modal properties of nonlinear parabolic graded-index optical guides." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thy16.
We study the propagation modes in nonlinear planar and circular media that have a transverse parabolic index profile.1 The first mode profiles, as well as their dispersion curves, are calculated numerically. In particular, one observes a splitting of some linear degenerate modes and cutoff of nonlinear modes because of self-focusing limits. A numerical scheme (beam propagation method) is also used to study near-modal propagation under the paraxial approximation. Those results are compared with an approximate analytical calculation based on the variational principle.2 This approach is not limited to small nonlinearities; it describes quite well the amplitude-dependent quasiperiodic propagation observed numerically. Furthermore, it reproduces the modal dispersion curves in a simple way. These results can also be applied to the study of nonlinear radiation modes of the free three-dimensional paraxial wave equation.
