1988
DOI: 10.1109/8.14404
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Generation of wide-band data from the method of moments by interpolating the impedance matrix (EM problems)

Abstract: In a method of moments (MM) computation, one must compute the impedance matrix at each new frequency. Since computation of the MM impedance matrix at a single frequency can be a very timeconsuming process, performing an MM computation over a wide frequency range can require a prohibitive amount of CPU time. Here we describe a method where the impedance matrix is computed at relatively large frequency intervals and then interpolated to approximate its values at intermediate frequencies.Basically, the method tra… Show more

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Cited by 140 publications
(67 citation statements)
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“…Therefore, to keep f /f 0 sufficiently small is the other necessary condition to justify the quadratic approximation. From our observations, as f /f 0 < 1/3, contributions of high-order terms in (16) becomes negligible, which suggests that the dominant response remains in a quadratic form. Therefore, besides f < f max , f should satisfy the other condition that f /f 0 < 1/3.…”
Section: Quadratic Approximation Of Z(s)mentioning
confidence: 60%
See 1 more Smart Citation
“…Therefore, to keep f /f 0 sufficiently small is the other necessary condition to justify the quadratic approximation. From our observations, as f /f 0 < 1/3, contributions of high-order terms in (16) becomes negligible, which suggests that the dominant response remains in a quadratic form. Therefore, besides f < f max , f should satisfy the other condition that f /f 0 < 1/3.…”
Section: Quadratic Approximation Of Z(s)mentioning
confidence: 60%
“…Quadratic function can approximate e −jk r to certain bandwidth but is subject to a constraint [16]. If the quadratic approximation is made within the band [f 0 − f, f 0 + f ] that is centered at f 0 and has a symmetrical span of 2 f , one should make sure that the phase change introduced by f is strictly less than π in the whole antenna scale [16]. In other words, a necessary condition is that kR max ≤ π where k is the wavenumber step.…”
Section: Quadratic Approximation Of Z(s)mentioning
confidence: 99%
“…Consequently, it is better to frequency interpolate them rather than trying to interpolate the responses. The concept of the impedance matrix interpolation was proposed in [20]. The approach is further extended in [21].…”
Section: Introductionmentioning
confidence: 99%
“…Recently, several techniques have been proposed to alleviate this problem. In [2], the impedance matrix is computed at relatively large frequency intervals and then interpolated to approximate its values. In [3], model-based parameter estimation based on rational function approximation is used to reduce the number of frequency points in which solutions or samples are required in broadband RCS calculation.…”
Section: Introductionmentioning
confidence: 99%