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Relevant bibliographies by topics / Propagation equation

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Academic literature on the topic 'Propagation equation'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Propagation equation"

1

AVITAL, ELDAD J., RICARDO E. MUSAFIR, and THEODOSIOS KORAKIANITIS. "NONLINEAR PROPAGATION OF SOUND EMITTED BY HIGH SPEED WAVE PACKETS." Journal of Computational Acoustics 21, no. 02 (2013): 1250027. http://dx.doi.org/10.1142/s0218396x12500270.

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Jet's sound-field emitted by a large scale source modeled as a wave packet is considered. Attention is given to nonlinear propagation effects caused by the source's supersonic Mach number and high amplitude. The approach of the Westervelt equation is adapted to derive a new set of weakly nonlinear sound propagation equations. An optimized Lax–Wendorff scheme is proposed for the newly derived equations. It is shown that these equations can be simulated using a time step close to the CFL limit even for high amplitudes unlike the conventional finite-difference simulation approach of the Westervel

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Musielak, Z. E. "A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation." Advances in Mathematical Physics 2023 (April 12, 2023): 1–11. http://dx.doi.org/10.1155/2023/5736419.

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The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave equation is fundamental. By being fundamental the equation gives the most complete description of propagating waves as it accounts for the Doppler effect, forward and backward waves, and makes the wave speed to be the same in all inertial frames. To demonstrate these properties, the equation is applied to acoustic wave propagation in an isothermal atmosphere, and to determine Lamb’s cutoff frequency.

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van Gestel, Robert A. M., Martijn J. H. Anthonissen, Jan H. M. ten Thije Boonkkamp, and Wilbert L. IJzerman. "An energy conservative hp-scheme for light propagation using Liouville’s equation for geometrical optics." EPJ Web of Conferences 238 (2020): 02005. http://dx.doi.org/10.1051/epjconf/202023802005.

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In this contribution an alternative method to standard forward ray-tracing is briefly outlined. The method is based on a phase-space description of light propagating through an optical system. The propagation of light rays are governed by Hamilton’s equations. Conservation of energy and étendue for a beam of light, allow us to derive a Liouville’s equation for the energy propagation through an optical system. Liouville’s equation is solved numerically using an hp-adaptive scheme, which for a smooth refractive index field is energy conservative. A proper treatment of optical interfaces ensures

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Bschorr, Oskar, and Hans-Joachim Raida. "One-Way Wave Equation Derived from Impedance Theorem." Acoustics 2, no. 1 (2020): 164–71. http://dx.doi.org/10.3390/acoustics2010012.

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The wave equations for longitudinal and transverse waves being used in seismic calculations are based on the classical force/moment balance. Mathematically, these equations are 2nd order partial differential equations (PDE) and contain two solutions with a forward and a backward propagating wave, therefore also called “Two-way wave equation”. In order to solve this inherent ambiguity many auxiliary equations were developed being summarized under “One-way wave equation”. In this article the impedance theorem is interpreted as a wave equation with a unique solution. This 1st order PDE is mathema

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Meher, Mehrollah, and Davood Rostamy. "Hybrid of differential quadrature and sub-gradients methods for solving the system of Eikonal equations." Nonlinear Engineering 10, no. 1 (2021): 436–49. http://dx.doi.org/10.1515/nleng-2021-0035.

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Abstract Many important natural phenomena of wave propagations are modeled by Eikonal equations and a variety of new methods are needed to solve them. The differential quadrature method (DQM) is an effective numerical method for solving the system of differential equations that can achieve accurate numerical results using fewer grid points and therefore requires relatively little computational effort. In this paper, we focus on the implementation of the non-smooth Eikonal optimization by using a hybrid of polynomial differential quadrature (PDQ) or Fourier differential quadrature (FDQ) method

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Alrefai, Waleed Ahmed Mahmoud. "SCHRÖDINGER EQUATION FOR PROPAGATION IN PHOTONIC CRYSTAL FIBERS." EUREKA: Physics and Engineering 1 (January 29, 2016): 13–20. http://dx.doi.org/10.21303/2461-4262.2016.00021.

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The propagation of light in a guided medium is generally described by the Maxwell’s equations. For long lengths of fiber, the Nonlinear Schrödinger (NLS) wave equation is typically derived under a few approximations on the waveguide properties of the guiding medium. In theoretical physics, the nonlinear Schrödinger equation is a nonlinear variation of the Schrödinger equation. The propagation of the wave is a fundamental phenomenon occurring in several physical systems. It is a classical field equation whose principal applications are to the propagation of light in nonlinear planar waveguides

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CAMPOS, L. M. B. C., and P. M. V. M. MENDES. "On the effects of viscosity and anisotropic resistivity on the damping of Alfvén waves." Journal of Plasma Physics 63, no. 3 (2000): 221–38. http://dx.doi.org/10.1017/s0022377899008259.

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The equations of magnetohydrodynamics (MHD) are written for non-uniform viscosity and resistivity – the latter in the cases of Ohmic and anisotropic resistivity. In the case of Ohmic (anisotropic) diffusivity, there is (are) one (two) transverse components of the velocity and magnetic field perturbation(s), leading to a second-order (fourth-order) dissipative Alfvén- wave equation. In the more general case of dissipative Alfvén waves with isotropic viscosity and anisotropic resistivity, the fourth-order wave equation may be replaced by two decoupled second-order equations for right- and left-p

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Smyth, N. F. "Propagation of flame fronts." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 31, no. 4 (1990): 385–96. http://dx.doi.org/10.1017/s0334270000006743.

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AbstractThe propagation of a flame front in a combusting gas is considered in the limit in which the width of the reaction-zone is small compared with some overall flow dimension. In this approximation, the front propagates along its normals at a speed dependent on the local curvature of the front and is governed by a nonlinear equivalent of the geometric optics equations. Some exact solutions of this equation are found and a numerical scheme is developed to solve the equation for more complicated geometries.

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Moya-Cessa, H. M., I. Ramos-Prieto, F. Soto-Eguibar, U. Ruíz, and D. Sánchez-de-la-Llave. "Paraxial wave propagation: Operator techniques." Journal of Physics: Conference Series 2986, no. 1 (2025): 012014. https://doi.org/10.1088/1742-6596/2986/1/012014.

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Abstract The similarity between the Schrödinger equation and the paraxial wave equation permits numerous analogies linking these fields, which is pivotal in advancing both quantum mechanics and wave optics. In this study, we demonstrate the application of operator techniques to an electromagnetic field characterized by the function f(x + ay), leveraging the structural analogies between these equations. Specifically, we employ initial conditions defined by Airy and Bessel functions to illustrate the practical implementation of these techniques.

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Chen, Yongze, and Philip L. F. Liu. "The unified Kadomtsev–Petviashvili equation for interfacial waves." Journal of Fluid Mechanics 288 (April 10, 1995): 383–408. http://dx.doi.org/10.1017/s0022112095001182.

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In this paper, the propagation of interfacial waves in a two-layered fluid system is investigated. The interfacial waves are weakly nonlinear and dispersive and propagate in a slowly rotating channel with varying topography and sidewalls, and a weak steady background current field. An evolution equation for the interfacial displacement is derived for waves propagating predominantly in the longitudinal direction of the channel. This new evolution equation is called the unified Kadomtsev–Petviashvili (uKP) equation because most of the KP-type equations existing in the literature for both surface

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Dissertations / Theses on the topic "Propagation equation"

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Pocock, Martin David. "Integral equation methods for harmonic wave propagation." Thesis, Imperial College London, 1994. http://hdl.handle.net/10044/1/8043.

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Bluck, Michael John. "Integral equation methods for transient wave propagation." Thesis, Imperial College London, 1993. http://hdl.handle.net/10044/1/7973.

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Bonnefille, Max. "Propagation des oscillations dans les systèmes hyperboliques de lois de conservation." Saint-Etienne, 1987. http://www.theses.fr/1987STET4008.

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Nous étudions des systèmes hyperboliques non linéaires, avec des conditions initiales oscillantes. La première partie utilise la théorie de la compacité par compensation qui permet d'exprimer la limite faible de toute suite de fonction continue d'une solution du système considéré. On démontre notamment un résultat de convergence pour un cas de système linéairement dégénéré particulier de 3 équations qui est une généralisation du cas de 2 équations. Un système intégro-différentiel est obtenu lors de l'étude d'un système de 2 équations dont les champs caractéristiques ne sont pas de même type. E

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Wojcik, Stefanie E. "Effects of internal waves and turbulent fluctuations on underwater acoustic propagation." Link to electronic thesis, 2006. http://www.wpi.edu/Pubs/ETD/Available/etd-030906-152505/.

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Suchivoraphanpong, Varanyu. "Fast integral equation methods for large acoustic scattering analyses." Thesis, Imperial College London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312269.

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Turkboylari, Alpaslan. "Radar Propagation Modelling Using The Split Step Parabolic Equation Method." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/1260451/index.pdf.

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This document describes radar propagation modelling using split step parabolic wave equation (PWE) method. A computer program using Fourier split-step (FSS) marching technique is developed for predicting the electromagnetic wave propagation in troposphere. The program allows specification of frequency, polarization, antenna radiation pattern, antenna altitude, elevation angle and terrain profile. Both staircase terrain modelling and conformal mapping are used to model the irregular terrain. Mixed Fourier transform is used to implement the impedance boundary conditions. The conditions and the l

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Zelley, Christopher Andrew. "Radiowave propagation over irregular terrain using the parabolic equation method." Thesis, University of Birmingham, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.390682.

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Atle, Andreas. "Numerical approximations of time domain boundary integral equation for wave propagation." Licentiate thesis, KTH, Numerical Analysis and Computer Science, NADA, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-1682.

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<p>Boundary integral equation techniques are useful in thenumerical simulation of scattering problems for wave equations.Their advantage over methods based on partial di.erentialequations comes from the lack of phase errors in the wavepropagation and from the fact that only the boundary of thescattering object needs to be discretized. Boundary integraltechniques are often applied in frequency domain but recentlyseveral time domain integral equation methods are beingdeveloped.</p><p>We study time domain integral equation methods for thescalar wave equation with a Galerkin discretization of twod

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Chamberlain, Peter George. "Wave propagation on water of uneven depth : an integral equation approach." Thesis, University of Reading, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304583.

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Fritzell, Julius. "Sound propagation modelling with applications to wind turbines." Thesis, KTH, Mekanik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-260322.

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Wind power is a rapidly increasing resource of electrical power world-wide. With the increasing number of wind turbines installed one major concern is the noise they generate. Sometimes already built wind turbines have to be put down or down-regulated, when certain noise levels are exceeded, resulting in economical and environmental losses. Therefore, accurate sound propagation calculations would be beneficial already in a planning stage of a wind farm. A model that can account for varying wind speeds and complex terrains could therefore be of great importance when future wind farms are planne

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Books on the topic "Propagation equation"

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1945-, Fitzgibbon W. E., Wheeler Mary F, and Society for Industrial and Applied Mathematics., eds. Wave propagation and inversion. Society for Industrial and Applied Mathematics, 1992.

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2

Levy, M. Parabolic equation methods for electromagnetic wave propagation. Institution of Electrical Engineers, 2000.

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3

E, Turkel, and Institute for Computer Applications in Science and Engineering., eds. Accurate finite difference methods for time-harmonic wave propagation. Institute for COmputer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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4

Cotaras, Frederick D. Nonlinear effects in long range underwater acoustic propagation. Applied Research Laboratories, University of Texas at Austin, 1985.

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1941-, DeSanto J. A., and International Conference on Mathematical and Numerical Aspects of Wave Propagation, eds. Mathematical and numerical aspects of wave propagation. Society for Industrial and Applied Mathematics, 1998.

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6

Baumeister, Kenneth J. Preconditioning the helmholtz equation for rigid ducts. National Aeronautics and Space Administration, Lewis Research Center, 1998.

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Zelley, Christopher Andrew. Radiowave propagation over irregular terrain using the parabolic equation method. University of Birmingham, 1996.

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8

International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena (1st 1991 Strasbourg, France). Mathematical and numerical aspects of wave propagation phenomena. Society for Industrial and Applied Mathematics, 1991.

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9

Leslie, Greengard, Hagstrom Thomas, and National Institute of Standards and Technology (U.S.), eds. Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1998.

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Leslie, Greengard, Hagstrom Thomas, and National Institute of Standards and Technology (U.S.), eds. Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1998.

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Book chapters on the topic "Propagation equation"

1

Bellman, Richard, and Ramabhadra Vasudevan. "Application to the Wave Equation." In Wave Propagation. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-5227-0_4.

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Bellman, Richard, and Ramabhadra Vasudevan. "Eikonal Equation and the WKB Approximation." In Wave Propagation. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-5227-0_2.

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Garrett, Steven L. "One-Dimensional Propagation." In Understanding Acoustics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_10.

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Abstract Having already invested in understanding both the equation of state and the hydrodynamic equations, only straightforward algebraic manipulations will be required to derive the wave equation, justify its solutions, calculate the speed of sound in fluids, and derive the expressions for acoustic intensity and the acoustic kinetic and potential energy densities of sound waves. The “machinery” developed to describe waves on strings will be sufficient to describe one-dimensional sound propagation in fluids, even though the waves on the string were transverse and the one-dimensional waves in

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Gonzalez, Guillermo. "Solutions to the Wave Equation." In Advanced Electromagnetic Wave Propagation Methods. CRC Press, 2021. http://dx.doi.org/10.1201/9781003219729-4.

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El-Fakih, Khaled, and Nina Yevtushenko. "Fault Propagation by Equation Solving." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30232-2_12.

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Gonzalez, Guillermo. "Sturm-Liouville Equation and Green Functions." In Advanced Electromagnetic Wave Propagation Methods. CRC Press, 2021. http://dx.doi.org/10.1201/9781003219729-5.

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Rawer, Karl. "The Boltzmann equation of a compressible plasma." In Wave Propagation in the Ionosphere. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-3665-7_15.

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Gårding, Lars. "The Hamilton-Jacobi equation and symplectic geometry." In Singularities in Linear Wave Propagation. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0073093.

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Resseguier, Valentin, Erwan Hascoët, and Bertrand Chapron. "Random Ocean Swell-Rays: A Stochastic Framework." In Mathematics of Planet Earth. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_16.

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AbstractOriginating from distant storms, swell systems radiate across all ocean basins. Far from their sources, emerging surface waves have low steepness characteristics, with very slow amplitude variations. Swell propagation then closely follows principles of geometrical optics, i.e. the eikonal approximation to the wave equation, with a constant wave period along geodesics, when following a wave packet at its group velocity. The phase averaged evolution of quasi-linear wave fields is then dominated by interactions with underlying current and/or topography changes. Comparable to the propagati

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Tsuji, Mikio. "Propagation of Singularities for Hamilton-Jacobi Equation." In Advances in Microlocal Analysis. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4606-4_13.

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Conference papers on the topic "Propagation equation"

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Castelló-Lurbe, David, Enrique Silvestre, and Miguel V. Andrés. "Multifrequency nonlinear pulse propagation." In Nonlinear Photonics. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/np.2024.npm3b.6.

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The nonlinear coefficient dependence on multiple frequencies is rigorously incorporated into the propagation equation so that the resulting nonlinear term is still straight-forwardly computed. Readily observable consequences due to this multifrequency dispersion are predicted.

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Blow, K. J. "Nonlinear pulse propagation in optical fibers." In OSA Annual Meeting. Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.the1.

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The nonlinear Schrodinger equation (NLS) is the central equation for understanding the propagation of pulses in optical fibers. Most problems consist of studying the effects of perturbations on the propagation of solitons. This requires an understanding of the unperturbed NLS, and inverse scattering theory is introduced through the Zakarov-Shabat (ZS) equations. We show how the ZS equations can be used to aid the interpretation of numerical results. The NLS and ZS equations can both be solved numerically, and schemes are presented for each.

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Ozgun, Ozlem, Gokhan Apaydin, Mustafa Kuzuoglu, and Levent Sevgi. "Parabolic equation toolbox for radio wave propagation." In 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2015. http://dx.doi.org/10.1109/usnc-ursi.2015.7303543.

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Metzler, Adam M., Jon M. Collis, and William L. Siegmann. "A parabolic equation for under ice propagation." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4800582.

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Gorbach, Andrey V. "Nonlinear graphene plasmonic waveguides: pulse propagation equation." In SPIE/COS Photonics Asia, edited by Xing Zhu, Satoshi Kawata, David J. Bergman, Peter Nordlander, and Francisco Javier García de Abajo. SPIE, 2014. http://dx.doi.org/10.1117/12.2071384.

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CALVO, DAVID C., MICHAEL D. COLLINS, DALCIO K. DACOL, and JOSEPH F. LINGEVITCH. "PARABOLIC EQUATION TECHNIQUES FOR PROPAGATION AND SCATTERING." In Theoretical and Computational Acoustics 2003 - The Sixth International Conference (ICTCA). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702609_0003.

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Ergul, Ozgur, and Levent Gurel. "Iterative solution of the normal-equations form of the electric-field integral equation." In 2007 IEEE Antennas and Propagation Society International Symposium. IEEE, 2007. http://dx.doi.org/10.1109/aps.2007.4395880.

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Bo-Syung Yang, A. W. Glisson, and P. M. Goggans. "Interior resonance problems associated with hybrid integral equation/partial differential equation methods." In IEEE Antennas and Propagation Society International Symposium 1992 Digest. IEEE, 1992. http://dx.doi.org/10.1109/aps.1992.221692.

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Blair, Steve, and Kelvin Wagner. "Generalized Higher-Order Nonlinear Evolution Equation for Multi-Dimensional Spatio-Temporal Propagation." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nwe.17.

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There is currently great interest in nonlinear spatio-temporal propagation phenomena. Advances [1] in short-pulse laser technology and in the measurement of pulse amplitude and phase [2] have allowed for the experimental study of phenomena that have been predicted theoretically using simple models of propagation. These studies have also revealed new phenomena, which have resulted in the development of new propagation models as well. Typically, one or more terms are added to the multi-dimensional nonlinear Schrodinger (NLS) equation in an attempt to explain these phenomena, but to date, no gene

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Witten, Benjamin, and Brad Artman. "Wave-Equation Propagation as a Body-Wave Filter." In GEO 2010. European Association of Geoscientists & Engineers, 2010. http://dx.doi.org/10.3997/2214-4609-pdb.248.410.

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Reports on the topic "Propagation equation"

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Ostashev, Vladimir, Michael Muhlestein, and D. Wilson. Extra-wide-angle parabolic equations in motionless and moving media. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/42043.

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Wide-angle parabolic equations (WAPEs) play an important role in physics. They are derived by an expansion of a square-root pseudo-differential operator in one-way wave equations, and then solved by finite-difference techniques. In the present paper, a different approach is suggested. The starting point is an extra-wide-angle parabolic equation (EWAPE) valid for small variations of the refractive index of a medium. This equation is written in an integral form, solved by a perturbation technique, and transformed to the spectral domain. The resulting split-step spectral algorithm for the EWAPE a

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Frank, Scott D. Elastic Bottom Propagation Mechanisms Investigated by Parabolic Equation Methods. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada617528.

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Nadim, Ali, Paul E. Barbone, and Jerome J. Cartmell. Shock Propagation and Attenuation in Bubbly Liquids: Modeling Wave Propagation Using a Nonlinear Equation-of-State. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada370801.

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Wilson, D., Vladimir Ostashev, Michael Shaw, et al. Infrasound propagation in the Arctic. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/42683.

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This report summarizes results of the basic research project “Infrasound Propagation in the Arctic.” The scientific objective of this project was to provide a baseline understanding of the characteristic horizontal propagation distances, frequency dependencies, and conditions leading to enhanced propagation of infrasound in the Arctic region. The approach emphasized theory and numerical modeling as an initial step toward improving understanding of the basic phenomenology, and thus lay the foundation for productive experiments in the future. The modeling approach combined mesoscale numerical we

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Duda, Timothy F. Initial Results from a Cartesian Three-Dimensional Parabolic Equation Acoustical Propagation Code. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada462796.

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Wilson, D., Chris Pettit, Vladimir Ostashev, and Matthew Kamrath. Signal power distributions for simulated outdoor sound propagation in varying refractive conditions. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48774.

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Probability distributions of acoustic signals propagating through the near-ground atmosphere are simulated by the parabolic equation method. The simulations involve propagation at four angles relative to the mean wind, with frequencies of 100, 200, 400, and 800 Hz. The environmental representation includes realistic atmospheric refractive profiles, turbulence, and ground interactions; cases are considered with and without parametric uncertainties in the wind velocity and surface heat flux. The simulated signals are found to span a broad range of scintillation indices, from near zero to exceedi

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Janaswamy, Ramakrishna. Development of Vector Parabolic Equation Technique for Propagation in Urban and Tunnel Environments. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada533349.

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Barrios, A. E. Radio Wave Propagation in Horizontally Inhomogeneous Environments by Using the Parabolic Equation Method. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada242082.

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Chiang, T. S., G. Kallianpur, and P. Sundar. Propagation of Chaos and the McKean-Vlasov Equation in Duals of Nuclear Spaces. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada224431.

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Chiang, T. S., G. Kallianpur, and P. Sundar. Propagation of Chaos and the McKean-Vlasov Equation in Duals of Nuclear Spaces. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada225595.

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