Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method

2017 ◽  
Vol 55 (1) ◽  
pp. 144-167 ◽  
Author(s):  
David P. Nicholls
Keyword(s):  
Numerical Solution ◽  
Evaluation Method ◽  
High Order ◽  
Order Perturbation ◽  
Waveform Evaluation ◽  
Asymptotic Waveform Evaluation

scholarly journals Application of Compressive Sensing to Asymptotic Waveform Evaluation for Fast Frequency-Sweep Analysis of Electromagnetic Scattering Problems

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Meng Kong ◽  
Ming-Sheng Chen ◽  
Xin-Yuan Cao ◽  
Xian-Liang Wu
Keyword(s):  
Compressive Sensing ◽  
Prior Knowledge ◽  
Electromagnetic Scattering ◽  
Wide Band ◽  
High Order ◽  
Induced Current ◽  
Scattering Problems ◽  
Frequency Sweep ◽  
Waveform Evaluation ◽  
Asymptotic Waveform Evaluation

To reduce the computing resource of full-scale impedance matrix and its high-order derivatives in traditional Asymptotic Waveform Evaluation (AWE), compressive sensing (CS) is applied to AWE for fast and accurate frequency-sweep analysis of electromagnetic scattering problems. In CS framework, some prior knowledge is extracted by constructing and solving undetermined equation of 0-order surface induced current, so that coefficients about high-order induced current can be accurately obtained by the prior knowledge, and finally the wide-band radar cross section (RCS) is calculated. Numerical results of two-dimensional objects and bodies of revolution (BOR) were presented to the show the efficiency of the proposed method.

A Well-Condition Asymptotic Waveform Evaluation Method for Heat Conduction Problems

2013 ◽  
Vol 845 ◽  
pp. 209-215 ◽  
Author(s):  
M. Sohel Rana ◽  
Kanesan Jeevan ◽  
Ramiah Harikrishnan ◽  
Ahmed Wasif Reza
Keyword(s):  
Heat Conduction ◽  
Time Domain ◽  
Evaluation Method ◽  
Heat Conduction Problem ◽  
Time Dependent ◽  
Electromagnetic Problems ◽  
Waveform Evaluation ◽  
First Time ◽  
Asymptotic Waveform Evaluation ◽  
Time Dependent Problems

The well condition asymptotic waveform evaluation (WCAWE) is presented to solve heat conduction problem with different boundary conditions. The method introduced by R. D. Slone and his colleague to solve electromagnetic problems in the frequency domain. Specially, the novelty of this paper is: This is the first time WCAWE method is presented for thermal analysis, the method is presented for time-dependent problems. The general formulation procedure is given and various examples are solved to illustrate the capabilities of the proposed scheme. The results obtain in this work by using WCAWE method showed that, the WCAWE method successfully able to approximate the initial delay. Therefore, WCAWE method is able to remove the limitation of time domain AWE

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