Abstract
In this paper, we use the numerical steepest descent path (NSDP) method to analyze the highly oscillatory physical optics (PO) integral on smooth conducting parabolic surfaces, including both monostatic and bistatic cases. Quadratic variations of the amplitude and phase functions are used to approximate the integrand of PO integral. Then the surface PO integral is reduced into several highly oscillatory line integrals. By invoking the NSDP method, these highly oscillatory PO line integrals are defined on the corresponding NSDPs. Furthermore, the critical point contributions for the PO integral are exactly extracted and represented based on the NSDPs. The proposed NSDP method for calculating the PO integral on the smooth conducting surfaces is frequency-independent and error-controllable. Compared with the traditional asymptotic expansion approach, the NSDP method significantly improves the PO integral accuracy by around two digits when the working wave frequencies are not extremely large. Numerical results are given to validate the NSDP method. © 1963-2012 IEEE.
Recommended Citation
Y. M. Wu et al., "The Numerical Steepest Descent Path Method For Calculating Physical Optics Integrals On Smooth Conducting Quadratic Surfaces," IEEE Transactions on Antennas and Propagation, vol. 61, no. 8, pp. 4183 - 4193, article no. 6507648, Institute of Electrical and Electronics Engineers, Jan 2013.
The definitive version is available at https://doi.org/10.1109/TAP.2013.2259788
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Contribution points; highly oscillatory integral; numerical steepest descent path; physical optics (PO)
International Standard Serial Number (ISSN)
0018-926X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 2013
