求解埋入體電磁散射問題的矢量波函數(shù)展開法
VECTOR WAVE FUNCTION EXPANSION FOR ELECTROMAGNETIC SCATTERING BY BURIED OBJECTS
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摘要: 本文利用矢量波函數(shù)展開法求解了任意激勵原埋入體的電磁散射問題。通過導(dǎo)出圓柱和圓球矢量波函數(shù)的轉(zhuǎn)換關(guān)系,使場量滿足分界平面和數(shù)學(xué)球面邊界條件,從而方便地利用矢量波函數(shù)展開求解了這一復(fù)雜邊值問題。作為示例,本文計算了在平面波和偶極子激勵下,埋入導(dǎo)體球和介質(zhì)球的散射場。
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關(guān)鍵詞:
- 電磁散射; 埋入體; 邊界條件; 矢量波函數(shù); 波變換
Abstract: An analysis of solving the electromagnetic scattering by buried objects using the vector vvave function expansion is presented. For expanding the boundary conditions both on the planar air-earth interface and on he spherical surface, the conversion relations be-tween the cylindrical and spherical vector wave functions are derived. Hence the vector wave function expansion is conveniently applied to solve this complex boundary value problem. For the excitation of the incident plane wave and the dipole above the earth, the scattering patterns of the buried conducting and dielectric spheres are presented and discussed. -
S. K. Chang, K. K. Mei, IEEE Trans. on AP, AP-28(1980), 504-512.[2]S. K. Chang, K. K. Mei, Electromagnetics, 1(1981), 73-89.[3]周學(xué)松,中國科學(xué)A輯,1984年,第9期,第841-849頁.[4]Chen-to Tai, Dyadic Green's Function in Electromagnetic Theory, International Textbook Co., (1971).[5][5][6]J. A. Stratton, Electromagnetic Theory, McGraw-Hill Book Co., New York, (1941).[7]Alfredo Banos, Dipole Radiation in the Presence of a Conducting Half-Space, Pergamon Press. New York. (1966).[8]R. F. Harington, Time Harmonic Electromagnetic Fields, McGraw-Hill Book Co., New York, (1961).[9]K. K. Mei, IEEE Trans. on AP, AP-22(1974), 760-766. -
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