An efficient numerical steepest descent path method to calculate the physical optics scattered fields with concave phase variations

2016 ◽  
Author(s):  
Yu Mao Wu ◽  
Si Jia Teng
Keyword(s):  
Steepest Descent ◽  
Physical Optics ◽  
Phase Variations ◽  
Scattered Fields ◽  
Steepest Descent Path

scholarly journals The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Yu Mao Wu ◽  
Hanzhang Zhou ◽  
Ya-Qiu Jin ◽  
Jun Hu ◽  
Haijing Zhou ◽  
...  
Keyword(s):  
High Frequency ◽  
Physical Optics ◽  
Brute Force ◽  
Numerical Examples ◽  
Type Integral ◽  
Frequency Independent ◽  
Highly Oscillatory ◽  
Scattered Fields ◽  
Steepest Descent Path ◽  
Quadratic Variations

In this work, the numerical steepest descent path (NSDP) method is proposed to compute the highly oscillatory physical optics (PO) scattered fields from the concave surfaces, including both the monostatic and the bistatic cases. Quadratic variations are adopted to approximate the integrands of the PO type integral into the canonical form. Then, on involving the NSDP method, we deform the integration paths of the integrals into several NSDPs on the complex plain, through which the highly oscillatory integrands are converted to exponentially decay integrands. The RCS results of the PO scattered field are calculated and are compared with the high frequency asymptotic (HFA) method and the brute force (BF) method. The results demonstrate that the proposed NSDP method for calculating PO scattered fields from concave surfaces is frequency-independent and error-controllable. Numerical examples are provided to verify the efficiencies of the NSDP method.

Yet another look at the steepest descent path

1997 ◽  
Vol 398-399 ◽  
pp. 63-71 ◽  
Author(s):  
Roberto Olender ◽  
Ron Elber
Keyword(s):  
Steepest Descent ◽  
Steepest Descent Path

scholarly journals THE MULTILEVEL FAST PHYSICAL OPTICS METHOD FOR CALCULATING HIGH FREQUENCY SCATTERED FIELDS

2020 ◽  
Vol 169 ◽  
pp. 1-15
Author(s):  
Zhiyang Xue ◽  
Yu Mao Wu ◽  
Weng Cho Chew ◽  
Ya-Qiu Jin ◽  
Amir Boag
Keyword(s):  
High Frequency ◽  
Physical Optics ◽  
Scattered Fields
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