本文選題：色散媒質　切入點：隨機媒質　出處：《南京理工大學》2017年碩士論文

【摘要】：色散媒質和隨機媒質在軍事隱身技術、材料科學、生物電磁學和微波器件設計等工程領域使用廣泛,研究這類復雜媒質的電磁特性對推動相關學科的理論發(fā)展和技術創(chuàng)新具有重要意義。由于色散媒質本構關系的復雜性以及隨機媒質電磁參數的不確定性,時域積分方程方法作為一種數值方法如何實現(xiàn)精確、高效解決復雜目標瞬態(tài)電磁特性問題一直是學者們關注的重點。本文利用基于時間步進(MOT)的時域積分方程方法分析色散媒質瞬態(tài)電磁散射。該方法在分析色散媒質時對體極化電流進行離散,簡化了對色散媒質時域遞歸卷積的處理,與使用電通量密度進行離散的時域積分方程方法相比具有內存消耗少和計算時間短的優(yōu)勢。此外,工程實際中的分析對象一般是金屬介質混合的,故又將此方法拓展到分析色散媒質與金屬混合目標的電磁特性問題。針對介電參數具有不確定性的隨機媒質電磁散射特性分析,本文提出基于MOT的時域積分方程方法與多項式混沌展開(PC)方法相結合的隨機伽遼金(SG)時域積分方程方法。分別對相對介電參數服從高斯分布和均勻分布的隨機媒質及其與金屬混合目標的瞬態(tài)電磁散射特性進行研究,通過與傳統(tǒng)的蒙特卡羅方法進行對比,驗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.
【學位授予單位】：南京理工大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN011

【相似文獻】

相關期刊論文 前10條

1 王衛(wèi)東;程鋼;程泉;;含附加結構的圓形和環(huán)形板振動的積分方程方法[J];振動.測試與診斷;2010年04期

2 王衛(wèi)東;程鋼;程泉;;積分方程方法求解任意位置含集中質量圓板的振動特性[J];機械強度;2009年05期

3 王衛(wèi)東;程泉;許明田;;任意位置含振子圓板非軸對稱振動的積分方程方法研究[J];機械強度;2009年03期

4 王航;魏培君;;基于積分方程方法的彈性波數值計算[J];山西師范大學學報(自然科學版);2007年01期

5 潘德惠;具有不，

本文編號：1667032