Extrapolation of electromagnetic responses from conducting objects in time and frequency domains

Rao, M. M.; Sarkar, Tapan K.; Adve, Raviraj; Anjali, T; Callejon, J.F.

doi:10.1109/22.795070

Cited by 25 publications

(18 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A frequency-domain CEM method is used to compute which contains the first frequency points of . The data vectors , and can be explicitly written as (2) where and . The goal of the extrapolation is to use early-time and low-frequency data, and , to determine representations of the complete response, and , which accurately approximate late-time and high-frequency data, and .…”

Section: Overview Of Polynomial Extrapolationmentioning

confidence: 99%

Extrapolation of Time and Frequency Responses of Resonant Antennas Using Damped Sinusoids and Orthogonal Polynomials

Frye

Martin

2008

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

An extrapolation technique is presented which reduces the computational demands of obtaining a wideband electromagnetic response from a resonant antenna using traditional computational electromagnetic methods. It has been shown that a wideband response can be extrapolated by fitting early-time and low-frequency data with a summation of orthogonal polynomials. However, representing responses characteristic of resonant structures in practice proves computationally inefficient and can lead to numerical instabilities. This paper outlines the incorporation of damped sinusoids to efficiently, accurately, and reliably extrapolate both time-and frequency-domain responses of resonant antennas due to a wideband source. A genetic algorithm is used to select the necessary extrapolation parameters. The wideband driving-point current response of several resonant antennas is accurately extrapolated. The transmission-line matrix method and the method of moments are used to compute early-time and low-frequency data, respectively. Fundamentally different discretizations of the structure of interest are used, illustrating in principle the independence of the technique and the choice of computational methods used to provide the directly-computed data.

show abstract

Section: Overview Of Polynomial Extrapolationmentioning

confidence: 99%

Extrapolation of Time and Frequency Responses of Resonant Antennas Using Damped Sinusoids and Orthogonal Polynomials

Frye

Martin

2008

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

show abstract

“…Recently, the simultaneous extrapolation technique in the time and frequency domains has been proposed to obtain the late-time and broad-band information [13,14]. The MoM approach can efficiently generate low frequency data, while the MOT algorithm can be used to obtain stable early time response quickly.…”

mentioning

confidence: 99%

“…One of them has been used before [13,14], that is, the associate Hermite (AH) polynomial. Here, another kind of Hermite polynomial is introduced, namely, modified Hermite (MH) polynomial [16,17].…”

mentioning

confidence: 99%

On Extrapolation of Electromagnetic Responses in Time and Frequency Domains

Guang-xing

Zhu

Cao

2007

Int J Infrared Milli Waves

View full text Add to dashboard Cite

The complete electromagnetic responses from conducting objects in time and frequency domains are generated by using their early time and low frequency information. Utilizing two kinds of Hermite polynomials and their Fourier transform, the time-domain signal and its corresponding frequency response can be expressed as a weighted sum of these quantities in an efficient way. The general properties of these two families of Hermite functions are studied, which greatly affect the performance of the proposed method. Due to the performance of the algorithm being sensitive to the choice of the origin and the scaling factor, how to properly choose the initial values of these parameters is considered. An optimal algorithm is also developed to find the above parameters so as to achieve the best performance. A criterion is also provided to assess the sensitivity of the performance. The excellent agreement between the computed results by the proposed method and those obtained by earlier approaches is demonstrated in each case.

show abstract

“…To overcome high computational demand to generate highfrequency data for MOM and to avoid late-time oscillations for a MOT method, the hybrid TD (time domain) and FD (frequency domain) method has been proposed to interpolate and extrapolate both domain data simultaneously using only early-time and low-frequency data [1][2][3][4][5][6]. The MOM approach can efficiently generate low-frequency data, while the MOT algorithm can be used to obtain stable early-time data quickly.…”

Section: Introductionmentioning

confidence: 99%

Generation of a Wide-Band Response Using Early-Time and Middle-Frequency Data Through the Laguerre Functions

Lee

Sarkar²,

Koh

et al. 2012

PIER Letters

View full text Add to dashboard Cite

Abstract-In this hybrid combined time domain (TD) and frequency domain (FD) approach, one can generate the early-time response using the method of marching-on-in-time (MOT) and use the method of moment (MOM) to generate the middle-frequency response, as the low frequency data may be unstable. The early-time and the middlefrequency data provide the missing low and high frequency response and the late-time response, respectively. Generation of a wide-band response using partial information of the TD data and FD data has been accomplished by the use of the continuous and discrete Laguerre functions.

show abstract

Extrapolation of electromagnetic responses from conducting objects in time and frequency domains

Cited by 25 publications

References 5 publications

Extrapolation of Time and Frequency Responses of Resonant Antennas Using Damped Sinusoids and Orthogonal Polynomials

Extrapolation of Time and Frequency Responses of Resonant Antennas Using Damped Sinusoids and Orthogonal Polynomials

On Extrapolation of Electromagnetic Responses in Time and Frequency Domains

Generation of a Wide-Band Response Using Early-Time and Middle-Frequency Data Through the Laguerre Functions

Contact Info

Product

Resources

About