Fast frequency sweep analysis of RCS by accelerated asymptotic waveform evaluation method

Abstract

The asymptotic waveform evaluation (AWE) technique is proposed with a preprocessing technique which is achieved by the arbitrarily dimensional fast lifting wavelet-like transform. With the new preprocessing technique, the sparse matrix equation in wavelet-domain is formed firstly. The wide band solution of this sparse linear system is obtained by application of AWE technique, and the actual induced surface current is computed by an inverse wavelet transform.Numerical simulation for differently shaped three dimensional objects has shown the efficiency of the present method.Keywords-Asymptotic waveform evaluation, sparse matrix, method of moments, arbitrarily dimensional wavelet matrix transform.

A Krylov enhanced proper orthogonal decomposition method for frequency domain model reduction

“…Moment-matching ensures that the transfer functions of reduced and original models match at a single frequency of interest (Bai, 2002). Asymptotic waveform evaluation (AWE) is an explicit moment-matching method that has commonly been used in problem reduction of frequency domain electromagnetic analysis (Slone et al , 2003; Jiao and Jin, 1999; Chen et al , 2006, 2010). However, loss of accuracy occurs when simulating moment-matching reduced models over broad frequency ranges (Binion and Chen, 2009; Del Tin et al , 2006; Lienemann et al , 2004).…”

“…However, loss of accuracy occurs when simulating moment-matching reduced models over broad frequency ranges (Binion and Chen, 2009; Del Tin et al , 2006; Lienemann et al , 2004). To address this, Slone et al (2003) used a multipoint Galerkin AWE method, where moments were matched at multiple frequencies; however, as pointed out by Chen et al (2010), AWE has been shown to be a numerically unstable process and computationally prohibitive with large original discretized models.…”