EXPONENTIAL DECAY OF HIGH-ORDER SPURIOUS PROLATE SPHEROIDAL MODES INDUCED BY A LOCAL APPROXIMATE DTN EXTERIOR BOUNDARY CONDITION | Zendy

Hélène Barucq | Zendy; Rabïa Djellouli | Zendy; Anne-Gaëlle Saint-Guirons | Zendy

Open Access

EXPONENTIAL DECAY OF HIGH-ORDER SPURIOUS PROLATE SPHEROIDAL MODES INDUCED BY A LOCAL APPROXIMATE DTN EXTERIOR BOUNDARY CONDITION

Author(s) -

Hélène Barucq,

Rabïa Djellouli,

Anne-Gaëlle Saint-Guirons

Publication year - 2012

Publication title -

progress in electromagnetics research b

Language(s) - English

Resource type - Journals

ISSN - 1937-6472

DOI - 10.2528/pierb11100708

Subject(s) - spurious relationship , exponential decay , boundary value problem , exponential function , mathematical analysis , scattering , helmholtz equation , prolate spheroid , order (exchange) , mathematics , boundary (topology) , helmholtz free energy , physics , quantum mechanics , statistics , finance , economics

We investigate analytically the asymptotic behavior of high-order spurious prolate spheroidal modes induced by a second-order local approximate DtN absorbing boundary condition (DtN2) when employed for solving high-frequency acoustic scattering problems. We prove that these reflected modes decay exponentially in the high frequency regime. This theoretical result demonstrates the great potential of the considered absorbing boundary condition for solving efficiently exterior high-frequency Helmholtz problems. In addition, this exponential decay proves the superiority of DtN2 over the widely used Bayliss-Gunsburger-Turkel absorbing boundary condition.

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