期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 236, 期 -, 页码 408-425出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.10.052
关键词
Physical optics; Highly oscillatory integral; Numerical steepest descent path; Polygonal domain; Critical points; Asymptotic approximation
资金
- Research Grants Council of Hong Kong [GRF 711511, 713011]
- HKU Small Project Funding [201007176196]
- HKU Seed Funding [201102160033]
- HKU UDF-CSE Grant
- University Grants Council of Hong Kong [AoE/P-04/08]
In this work, the computation of physical optics (PO) type integral with the integrand of quadratic phase and amplitude is studied. First, we apply the numerical steepest descent path (NSDP) method to calculate the highly oscillatory PO integral on the triangular patch. Then, we rigorously extend the proposed NSDP method to analyze the PO integral on polygonal domains. Furthermore, the contributions of critical points on polygonal domains, including the stationary phase point, resonance and vertex points, are comprehensively studied in terms of the NSDP method. Compared to the traditional high frequency asymptotic (HFA) method, when the wave frequency is not very high but in the high frequency regime, the NSDP method has improved the PO integral accuracy by one to two digits. Meanwhile, the computational cost by using the proposed NSDP method is independent of the wave frequency. (C) 2012 Elsevier Inc. All rights reserved.
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