Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21755 ◽

2018 ◽

Vol 71 (11) ◽

pp. 2220-2274 ◽

Author(s):

Björn Engquist ◽

Hongkai Zhao

Keyword(s):

Helmholtz Equation ◽

Green’S Function ◽

Green's Function ◽

High Frequency ◽

Frequency Limit ◽

High Frequency Limit

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High-frequency limit of the Helmholtz equation with variable refraction index

Journal of Functional Analysis ◽

10.1016/j.jfa.2005.06.003 ◽

2006 ◽

Vol 230 (1) ◽

pp. 116-168 ◽

Author(s):

Xue Ping Wang ◽

Ping Zhang

Keyword(s):

Helmholtz Equation ◽

High Frequency ◽

Refraction Index ◽

Frequency Limit ◽

High Frequency Limit

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Multiple standing waves for the nonlinear Helmholtz equation concentrating in the high frequency limit

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-017-0651-6 ◽

2017 ◽

Vol 196 (6) ◽

pp. 2023-2042 ◽

Author(s):

Gilles Evéquoz

Keyword(s):

Helmholtz Equation ◽

High Frequency ◽

Standing Waves ◽

Frequency Limit ◽

High Frequency Limit

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HIGH FREQUENCY LIMIT OF THE HELMHOLTZ EQUATION. II. SOURCE ON A GENERAL SMOOTH MANIFOLD

Communications in Partial Differential Equations ◽

10.1081/pde-120002867 ◽

2002 ◽

Vol 27 (3-4) ◽

pp. 607-651 ◽

Author(s):

F. Castella ◽

B. Perthame ◽

O. Runborg

Keyword(s):

Helmholtz Equation ◽

High Frequency ◽

Smooth Manifold ◽

Frequency Limit ◽

High Frequency Limit

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High-frequency limit of the Helmholtz equation

Wigner Measure and Semiclassical Limits of Nonlinear Schrödinger Equations - Courant Lecture Notes ◽

10.1090/cln/017/07 ◽

2008 ◽

pp. 153-172

Keyword(s):

Helmholtz Equation ◽

High Frequency ◽

Frequency Limit ◽

High Frequency Limit

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Proof of uniform high-frequency asymptotic expansion of Green's function for Helmholtz equation

Computational Mathematics and Modeling ◽

10.1007/bf01128156 ◽

1995 ◽

Vol 6 (1) ◽

pp. 61-64

Author(s):

V. I. Dmitriev ◽

E. G. Saltykov

Keyword(s):

Asymptotic Expansion ◽

Helmholtz Equation ◽

Green’S Function ◽

Green's Function ◽

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High-frequency approximation of the green's function for the Helmholtz equation in an axial nonhomogeneous medium

Computational Mathematics and Modeling ◽

10.1007/bf02403451 ◽

1997 ◽

Vol 8 (3) ◽

pp. 278-281

Author(s):

V. I. Dmitriev ◽

E. G. Saltykov

Keyword(s):

Helmholtz Equation ◽

Green’S Function ◽

Green's Function ◽

High Frequency ◽

Nonhomogeneous Medium ◽

Frequency Approximation

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On the gradually vanishing bandgaps of periodic locally resonant metamaterial Timoshenko beams in the high frequency limit

Physics Letters A ◽

10.1016/j.physleta.2021.127757 ◽

2021 ◽

pp. 127757

Author(s):

Shao-Feng Xu ◽

Kuo-Chih Chuang

Keyword(s):

High Frequency ◽

Timoshenko Beams ◽

Frequency Limit ◽

High Frequency Limit

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Scattering by slightly nonshperical particles in the high frequency limit. I. Impenetrable particles

Journal of Mathematical Physics ◽

10.1063/1.525294 ◽

1982 ◽

Vol 23 (12) ◽

pp. 2494-2501 ◽

Author(s):

Jerome Krebs

Keyword(s):

High Frequency ◽

Frequency Limit ◽

High Frequency Limit

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Extension of the high frequency limit of time domain spectroscopy up to 200 THz using two-color pumped air plasma

2016 41st International Conference on Infrared, Millimeter, and Terahertz waves (IRMMW-THz) ◽

10.1109/irmmw-thz.2016.7758597 ◽

2016 ◽

Author(s):

Eiichi Matsubara ◽

Masaya Nagai ◽

Masaaki Ashida

Keyword(s):

Time Domain ◽

High Frequency ◽

Frequency Limit ◽

Time Domain Spectroscopy ◽

High Frequency Limit

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Wave transport in complex vibro-acoustic structures in the high-frequency limit

IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties - IUTAM Bookseries ◽

10.1007/978-94-007-0289-9_14 ◽

2011 ◽

pp. 187-200 ◽

Author(s):

Gregor Tanner ◽

Stefano Giani

Keyword(s):

High Frequency ◽

Frequency Limit ◽

High Frequency Limit ◽

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