本文關(guān)鍵詞：單軸雙各向異性介質(zhì)圓柱電磁散射解析解的研究　出處：《杭州電子科技大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 單軸雙各向異性介質(zhì) 傅里葉變換 柱矢量波函數(shù) 雷達(dá)散射寬度

【摘要】：對于復(fù)雜介質(zhì)電磁散射問題的分析在現(xiàn)代移動通信、雷達(dá)探測、導(dǎo)航和定位技術(shù)、新型天線的研發(fā)等軍用和民用領(lǐng)域具有重要意義。利用矢量波函數(shù)的解析法是求解電磁散射的方法之一,本文即開展此類方法研究,研究意義就是利用簡化矢量波函數(shù)來分析無限長均勻單軸雙各向異性介質(zhì)圓柱對平面入射波的電磁散射特性。其中,能否展開單軸雙各向異性介質(zhì)圓柱內(nèi)的電磁場量是問題求解的關(guān)鍵。本文所研究的單軸雙各向異性介質(zhì)的本征方程中存在四個張量�；诮橘|(zhì)的本構(gòu)關(guān)系,由無源麥克斯韋方程組分別導(dǎo)出電場和磁場滿足的微分方程。利用傅里葉變換來求方程的解,基于對未知角普幅度的傅里葉展開和本征平面波的表達(dá)式,引入柱矢量波函數(shù),將圓柱內(nèi)場表達(dá)為柱矢量波函數(shù)的積分方程。然后,建立二維垂直入射的邊界條件,單軸雙各向異性介質(zhì)圓柱位于自由空間中受均勻平面波的垂直入射極化為TE波或TM波,據(jù)此給出圓柱外的入射場和散射場,結(jié)合推導(dǎo)出的圓柱內(nèi)電磁場的表達(dá)式,根據(jù)電磁場在圓柱表面上切向分量連續(xù)的邊界條件分別列出TE波入射和TM波入射的矩陣方程,編制FORTRAN程序進(jìn)而求得散射場表達(dá)式中的系數(shù),最終利用貝塞爾函數(shù)的大宗量漸進(jìn)展開式導(dǎo)出其雷達(dá)散射寬度的表達(dá)式,計算相應(yīng)的數(shù)值結(jié)果,進(jìn)行分析討論。本文所得結(jié)果與現(xiàn)有文獻(xiàn)比較后數(shù)值結(jié)果吻合較好,與傳統(tǒng)方法相比較,文中提出的方法更具優(yōu)勢以及較高的應(yīng)用價值。
[Abstract]:For the analysis of electromagnetic scattering problems of complex medium detection in modern mobile communication, radar, navigation and positioning technology, has the important significance of new antenna research and other military and civilian fields. By using the analytical method of vector wave function is one of the methods for solving electromagnetic scattering, this paper is to carry out such research methods, the research significance is analyzed by using simple electromagnetic the scattering characteristics of infinite uniform uniaxial Bi anisotropic dielectric cylinder on the plane incident wave vector wave function. The electromagnetic field can expand uniaxial bianisotropic medium cylinder is the key to solve the problem. There are four tensor eigen equation of uniaxial bianisotropic medium is studied in this paper in this. The relationship between the medium based on the differential equation by passive Maxwell equations respectively. Electric field and export to meet the demand equation using the Fu Liye transform solution, based on the Know general amplitude and angle Fourier eigen plane wave expression, the cylindrical vector wave functions, the expression for the integral equation of the cylindrical column vector wave function. Then, a two-dimensional vertical incident boundary conditions, uniaxial Bi anisotropic dielectric cylinder in free space by the polarization perpendicular to the incident plane wave is TE or TM wave, which are cylindrical the incident field and the scattered field, combined with the expressions derived in cylindrical electromagnetic field, according to the electromagnetic field in the cylindrical surface continuity of tangential boundary conditions are TE wave and TM wave incidence matrix equation, FORTRAN program to calculate the scattering coefficients in the expressions finally, using a large amount of Bessel function expressions derived the asymptotic expansion of the radar scattering width, calculate the corresponding numerical results, analyzed and discussed the results and existing. Compared with the traditional method, the proposed method has more advantages and higher application value compared with the traditional method.

【學(xué)位授予單位】：杭州電子科技大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：TN011

【參考文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 趙惠玲;高階各向異性阻抗邊界條件的研究[D];西北工業(yè)大學(xué);2002年

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本文編號：1387092