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Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements
Author(s) -
Chadwick Edmund,
Bettess Peter,
Laghrouche Omar
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990530)45:3<335::aid-nme591>3.0.co;2-a
Subject(s) - helmholtz equation , envelope (radar) , diffraction , mathematical analysis , boundary value problem , mathematics , simple (philosophy) , dirichlet boundary condition , finite element method , phase (matter) , helmholtz free energy , field (mathematics) , geometry , physics , computer science , optics , telecommunications , pure mathematics , quantum mechanics , radar , philosophy , epistemology , thermodynamics
We consider a two‐dimensional wave diffraction problem from a closed body such that the complex progressive wave potential satisfies the Sommerfield condition and the Helmholtz equation. We are interested in the case where the wavelength is much smaller than any other length dimensions of the problem. We introduce new mapped wave envelope infinite elements to model the potential in the far field, and test them for some simple Dirichlet boundary condition problems. They are used in conjuction with wave envelope finite elements developed earlier [1] to model the potential in the near field. An iterative procedure is used in which an initial estimate of the phase is iteratively improved. The iteration scheme, by which the wave envelope and phase are recovered, is described in detail. Copyright © 1999 John Wiley & Sons, Ltd.