By applying the boundary conditions and the orthogonality of spherical vector wave functions , an adequate number of relations between the unknown coefficients is generated . from all these discussions , the scattered fields and normalized scattering cross sections are computed 通過(guò)以上討論,即可建立起足夠多的決定各展開(kāi)系數(shù)的方程,求出散射場(chǎng)系數(shù),進(jìn)而求出散射場(chǎng)及散射截面。
Secondly , the electromagnetic fields between the inner and outer boundaries are expressed in terms of infinite series with spherical vector wave functions using the relations between the spheroidal vector wave functions and spherical ones 然后根據(jù)橢球矢量波函數(shù)與球矢量波函數(shù)的關(guān)系,把兩層橢球之間的電磁場(chǎng)表示為球矢量波函數(shù)的級(jí)數(shù)形式,由球矢量波函數(shù)的正交性,進(jìn)一步建立各展開(kāi)系數(shù)之間的關(guān)系。
The general form of dyadic green ' s function of non - divergence electromagnetic field in chiral media was deduced by moment method , and the expression forms of the m and n vector wave functions for dyadic green ' s function of non - divergence electromagnetic field was also presented 摘要應(yīng)用矩量法導(dǎo)出了旋波媒質(zhì)中無(wú)散電磁場(chǎng)并矢格林函數(shù)的普遍形式,然后給出無(wú)散電磁場(chǎng)并矢格林函數(shù)的m和n類(lèi)矢量波函數(shù)的表示形式。
This thesis in theory deals with electromagnetic wave scattering by multilayered confocal and non - confocal spheroidal particles illuminated by gaussian beams , in which the main contributions are as follows : 1 . in the case of multilayered confocal spheroidal particles , the scattered fields as well as the fields within each layer are obtained in terms of infinite series with spheroidal vector wave functions by using an appropriate expansion of the incident gaussian beam . by virtue of the boundary conditions , we write the set of equations for determining the unknown expansion coefficients and then solve it 本文從理論上研究了多層共焦和非共焦橢球粒子對(duì)高斯波束的散射,主要成果如下: 1 .我們研究了多層共焦橢球粒子對(duì)高斯波束的散射,把入射高斯光,散射場(chǎng),各層橢球內(nèi)的電場(chǎng)和磁場(chǎng)用適當(dāng)?shù)臋E球矢量波函數(shù)展開(kāi),應(yīng)用電磁場(chǎng)邊界條件,寫(xiě)出確定各展開(kāi)系數(shù)的方程組,求出散射場(chǎng)系數(shù),進(jìn)而求出散射場(chǎng)及散射截面。
2 . we present a solution to the scattering of gaussian beams by a concentric multilayered non - confocal spheroidal particle by taking a concentric two - layered one as an example . because the boundaries of these two layers are connected with two different spheroidal coordinate systems , firstly , the electromagnetic fields between the inner and outer boundaries are expanded in terms of the spheroidal vector wave functions with reference to these two systems , and the electromagnetic fields within the inner boundary with reference to the system for it 2 .以雙層橢球?yàn)槔?,我們提出了一種研究同心非共焦多層橢球粒子散射的方法,首先把兩層橢球之間的電磁場(chǎng)用對(duì)應(yīng)于兩個(gè)橢球坐標(biāo)系的橢球矢量波函數(shù)展開(kāi),這兩個(gè)橢球坐標(biāo)系分別與兩層橢球的邊界面相聯(lián)系,在每層橢球邊界面上分別應(yīng)用邊界條件,建立關(guān)于各展開(kāi)系數(shù)的方程組。