本文選題：色散媒質(zhì)　切入點(diǎn)：隨機(jī)媒質(zhì)　出處：《南京理工大學(xué)》2017年碩士論文

【摘要】：色散媒質(zhì)和隨機(jī)媒質(zhì)在軍事隱身技術(shù)、材料科學(xué)、生物電磁學(xué)和微波器件設(shè)計(jì)等工程領(lǐng)域使用廣泛,研究這類復(fù)雜媒質(zhì)的電磁特性對(duì)推動(dòng)相關(guān)學(xué)科的理論發(fā)展和技術(shù)創(chuàng)新具有重要意義。由于色散媒質(zhì)本構(gòu)關(guān)系的復(fù)雜性以及隨機(jī)媒質(zhì)電磁參數(shù)的不確定性,時(shí)域積分方程方法作為一種數(shù)值方法如何實(shí)現(xiàn)精確、高效解決復(fù)雜目標(biāo)瞬態(tài)電磁特性問題一直是學(xué)者們關(guān)注的重點(diǎn)。本文利用基于時(shí)間步進(jìn)(MOT)的時(shí)域積分方程方法分析色散媒質(zhì)瞬態(tài)電磁散射。該方法在分析色散媒質(zhì)時(shí)對(duì)體極化電流進(jìn)行離散,簡化了對(duì)色散媒質(zhì)時(shí)域遞歸卷積的處理,與使用電通量密度進(jìn)行離散的時(shí)域積分方程方法相比具有內(nèi)存消耗少和計(jì)算時(shí)間短的優(yōu)勢。此外,工程實(shí)際中的分析對(duì)象一般是金屬介質(zhì)混合的,故又將此方法拓展到分析色散媒質(zhì)與金屬混合目標(biāo)的電磁特性問題。針對(duì)介電參數(shù)具有不確定性的隨機(jī)媒質(zhì)電磁散射特性分析,本文提出基于MOT的時(shí)域積分方程方法與多項(xiàng)式混沌展開(PC)方法相結(jié)合的隨機(jī)伽遼金(SG)時(shí)域積分方程方法。分別對(duì)相對(duì)介電參數(shù)服從高斯分布和均勻分布的隨機(jī)媒質(zhì)及其與金屬混合目標(biāo)的瞬態(tài)電磁散射特性進(jìn)行研究,通過與傳統(tǒng)的蒙特卡羅方法進(jìn)行對(duì)比,驗(yàn)證本文方法的正確性和高效性。
[Abstract]:Dispersive media and random media are widely used in military stealth technology, material science, bioelectromagnetics and microwave device design, etc. It is of great significance to study the electromagnetic properties of this kind of complex media to promote the theoretical development and technological innovation of related disciplines. Due to the complexity of constitutive relations of dispersive media and the uncertainty of electromagnetic parameters of random media, How can the time domain integral equation method be used as a numerical method to achieve accuracy, In this paper, the time-domain integral equation method based on time-stepping MOT is used to analyze the transient electromagnetic scattering of dispersive media. The bulk polarization current is discretized. The recursive convolution of dispersive media in time domain is simplified. Compared with the discrete time domain integral equation method using flux density, it has the advantages of less memory consumption and shorter computing time. In engineering practice, the object of analysis is usually mixed with metal medium, so the method is extended to analyze the electromagnetic characteristics of dispersive medium and metal mixed target. The electromagnetic scattering characteristics of random medium with uncertain dielectric parameters are analyzed. In this paper, a stochastic Galerkin time domain integral equation method based on MOT and polynomial chaotic expansion method is proposed. The relative dielectric parameters are obtained by using random media with Gao Si distribution and uniform distribution, respectively. The transient electromagnetic scattering characteristics of mass and its mixed target with metal are studied. By comparing with the traditional Monte Carlo method, the correctness and efficiency of this method are verified.
【學(xué)位授予單位】：南京理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN011

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本文編號(hào)：1667032