基于Hemite外推的多柱體時(shí)頻域電磁散射計(jì)算
Calculation of electromagnetic scattering of multi-cylinders in time and frequency domains based on hermite extrapolation
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摘要: 首先根據(jù)散射體在高斯脈沖平面波激勵(lì)下感應(yīng)電流的能量幾乎全部集中在時(shí)間軸和頻率軸上的有限范圍內(nèi),該文將時(shí)域響應(yīng)展開(kāi)為系數(shù)待定的連帶Hermite級(jí)數(shù)的疊加,并根據(jù)連帶Hermite函數(shù)的傅里葉變換的自反性,得到與時(shí)域響應(yīng)形式類似的頻域響應(yīng);然后利用時(shí)域方法和頻域方法分別計(jì)算散射體上感應(yīng)電流的早時(shí)響應(yīng)和低頻信息;最后經(jīng)過(guò)時(shí)域和頻域聯(lián)合外推計(jì)算,由早時(shí)響應(yīng)和低頻信息確定時(shí)域和頻域響應(yīng)的待定系數(shù),從而獲得了整個(gè)時(shí)域和頻域的完全響應(yīng)。該文用這種外推方法分析計(jì)算了多導(dǎo)體柱的電磁散射。Abstract: The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents. Electromagnetic scattering of multi-cylinders are calculated and analyzed based on this extrapolation methodology in this paper.
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