On a misconception involving point collocation and the Rayleigh hypothesis

On a misconception involving point collocation and the Rayleigh hypothesis

It is shown that the Rayleigh hypothesis does not govern convergence of the simple point collocation approach to the numerical solution of scattering by a sinusoidal grating. A previously developed numerical technique, interval arithmetic, is employed to perform some decisive numerical experiments w...

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Veröffentlicht in:IEEE transactions on antennas and propagation 1996-10, Vol.44 (10), p.1309-1316
Hauptverfasser: Christiansen, S., Kleinman, R.E.
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic
Convergence of numerical methods
Electromagnetic scattering
Equations
Gratings
Mathematical model
Physics
Rayleigh scattering
Surface treatment
Surface waves
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Beschreibung
Zusammenfassung:It is shown that the Rayleigh hypothesis does not govern convergence of the simple point collocation approach to the numerical solution of scattering by a sinusoidal grating. A previously developed numerical technique, interval arithmetic, is employed to perform some decisive numerical experiments which not only support but guarantee the validity of this conclusion.
ISSN:0018-926X
1558-2221
DOI:10.1109/8.537324