Computational high frequency wave propagation
Numerical simulation of high frequency acoustic, elastic or electro-magnetic wave
propagation is important in many applications. Recently the traditional techniques of ray …
propagation is important in many applications. Recently the traditional techniques of ray …
[PDF][PDF] Mathematical models and numerical methods for high frequency waves
O Runborg - Commun. Comput. Phys, 2007 - global-sci.org
The numerical approximation of high frequency wave propagation is important in many
applications. Examples include the simulation of seismic, acoustic, optical waves and …
applications. Examples include the simulation of seismic, acoustic, optical waves and …
High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat
We consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat at
the origin. In the high frequency limit, we establish the reflection-transmission coefficients for …
the origin. In the high frequency limit, we establish the reflection-transmission coefficients for …
An introduction to Eulerian geometrical optics (1992–2002)
JD Benamou - Journal of scientific computing, 2003 - Springer
An Introduction to Eulerian Geometrical Optics (1992–2002) Page 1 63 0885-7474/03/1200-0063/0
© 2003 Plenum Publishing Corporation Journal of Scientific Computing, Vol. 19, Nos. 1–3 …
© 2003 Plenum Publishing Corporation Journal of Scientific Computing, Vol. 19, Nos. 1–3 …
High frequency limit of the Helmholtz equations
We derive the high frequency limit of the Helmholtz equations in terms of quadratic
observables. We prove that it can be written as a stationary Liouville equation with source …
observables. We prove that it can be written as a stationary Liouville equation with source …
Some new results in multiphase geometrical optics
O Runborg - ESAIM: Mathematical Modelling and Numerical …, 2000 - cambridge.org
In order to accommodate solutions with multiple phases, corresponding to crossing rays, we
formulate geometrical optics for the scalar wave equation as a kinetic transport equation set …
formulate geometrical optics for the scalar wave equation as a kinetic transport equation set …
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
B Perthame, L Vega - Geometric And Functional Analysis, 2008 - Springer
We consider the Helmholtz equation with a variable index of refraction n (x), which is not
necessarily constant at infinity but can have an angular dependency like n (x) → n_ ∞ (x/| x|) …
necessarily constant at infinity but can have an angular dependency like n (x) → n_ ∞ (x/| x|) …
The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave-packet approach
F Castella - Journal of Functional Analysis, 2005 - Elsevier
We consider the high-frequency Helmholtz equation with a given source term, and a small
absorption parameter α> 0. The high-frequency (or: semi-classical) parameter is ɛ> 0. We …
absorption parameter α> 0. The high-frequency (or: semi-classical) parameter is ɛ> 0. We …
High-frequency limit of the Helmholtz equation with variable refraction index
XP Wang, P Zhang - Journal of Functional Analysis, 2006 - Elsevier
We study the high-frequency limit of the Helmholtz equation with variable refraction index
and a source term concentrated near a p-dimensional affine subspace. Under some …
and a source term concentrated near a p-dimensional affine subspace. Under some …
Gaussian beam methods for the Helmholtz equation
H Liu, J Ralston, O Runborg, NM Tanushev - SIAM Journal on Applied …, 2014 - SIAM
In this work we construct Gaussian beam approximations to solutions of the high frequency
Helmholtz equation with a localized source. Under the assumption of nontrap** rays we …
Helmholtz equation with a localized source. Under the assumption of nontrap** rays we …