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求助Mie散射理论简介（至2008.6.22）
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| 如题，想了解一些关于Mie散射理论方面的知识，希望得到帮助，如有好的综述类文献，欢迎附上，万分感激！ |
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zhjf
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2楼2008-06-16 17:17:32
shunping06
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Mie理论介绍
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dory(金币+2,VIP+0):谢谢您！
dory(金币+2,VIP+0):谢谢您！
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下面的内容是我本科毕业论文的小片段，是对Mie理论的综述，希望对你有帮助。Mie理论是一套解决球形散射体与电磁波相互作用问题严格数学解法。 1.1 History Survey of Mie Theory Mie scattering theory is named after Gustav Mie for his famous work on scattering by a small particle [5]. In fact, Lorenz had considered the same problem before Mie; so it could be called Lorenz-Mie theory, alternatively. In this thesis, I adopt “conventional Mie theory”, called original Mie theory or conventional Lorenz-Mie theory in some other literatures, for the sake of avoiding confusion with the original Mie’s version of scattering theory. Similarly, I use Generalized Mie Theory instead of Generalized Lorenz-Mie Theory when describing the extension of Mie theory to various cases, e.g. spheroid particles, particles embedded in absorbing medium or multiple spheres. By introducing scalar electromagnetic potentials, Mie solved the scalar Helmholtz equation by applying boundary-value condition at the interface of sphere and surrounding medium. Using similar method, Bohn greatly reduced the lengthy derivation of Mie’s in his famous book [6]. A complete but compact form of Mie scattering theory, regarded as conventional Mie theory, was first proposed by Stratton in 1941 [7], where vector spherical wave functions were introduced. Later, C. F. Bohren and D. R. Huffman (1983) treated the scattering of light by small particles within the frame of Mie Theory in details [1]. However, conventional Mie theory was restricted to scattering by one sphere until Stein (1961) [8] and later Cruzan (1962) [9] presented addition theorems for vector spherical wave functions. The translation coefficients between two coordinates involved the Wigner 3-j symbol which is computational time consuming. The landmark works by Liang and Lo in 1967 [10], by introducing addition theorems for VSWF, extended the conventional Mie theory to the two-sphere system in a formal form. Soon later, Bruning and Lo continued the investigations of multiple scattering by a bisphere, and extended to acoustic wave incident [11, 12]. However, the most valuable of their works is that they derived a recursive formula for the translation coefficients absent of the Wigner 3-j symbol, which greatly encouraged the computational methods at that time. According to Bruning and Lo, boundary-value condition was applied at each interface on individual sphere to obtain a self-consistent set of coupled equations using orthogonality of VSWF. The equations were solved directly by matrix inversion, which was called Matrix Inversion Method (MI-Method) afterwards. Iteration Methods, such as Jacobi iteration and Gauss-Seidel iteration, were also proved suitable for solving the equations. Concerning bisphere scattering, another famous work in 1991 by K. A. Fuller should be mentioned [13]. He used Order-of-Scattering (OS) Method to trace the light between two particles. Scattered fields were then given by a superposition of different multipole amplitudes (Mie coefficients) of individual sphere. In the last two decades, extending of Mie theory to various practical cases sprung up dramatically, as schematically demonstrated in Fig. 1.1. Roughly, they may be classified by four facets: (a) Different materials. Originally, Mie theory was used to calculate the scattering by a homogeneous dielectric sphere. Since it depends on the classical EM Theory, Mie theory is available for arbitrary material as long as the properties of the materials could be completely covered by the dielectric constant or a so-called optical constant. Magnetic particles were investigated early in 1980s [14, 15], to the best of my knowledge. Small particles of anisotropic material are included in the frame of Mie theory only recently [16]. (b) Incident waves. As proposed by Bruning and Lo, scattering of acoustic wave can be solved similarly by eigenfunction expansion, except that the vector Helmholtz equation is replaced by a scalar Helmholtz equation. Gaussian beam is more practical because ideal planar wave is not available in experiments. A great effort has been devoted to including Gaussian beam illuminating into Mie theory [17, 18]. (c) Scatters structure. Firstly, for single-particle system under concerned, it refers to nonspherical shape particle or coated sphere (also called core-shell structure). The later, fully investigated by N. J. Halas and her coworkers, can be made into sensors, drugs deliverers etc., simply by tuning the core-shell ratio or materials [19]. Spheroids, slightly different from sphere, could be solved via perturbation expansions. However, other geometries e.g. ellipsoids, cylinders, cubes etc., are usually treated by quasi-static approximation [2]. For cluster of arbitrary shape and size, T-matrix method is available to obtain numerical results in despite of huge computing time. In this approach, scattered-field is assumed to vary linearly to incident field through a transformation matrix. Secondly, extending of Mie theory to different scatters structure can be achieved via particle number. It could be regarded as Generalized Multiparticle Mie-solution (GMM) [20]. Thanks to greatly improved computer capability, scatters under considered are no longer bisphere system as Bruning and Lo’s. Arbitrarily positioned structures, e.g. collinear, coplanar or star-like structures, have been calculated using Iterative Method [20, 21]. Recently, Xu and his coworker proposed a new algorithm for aggregates of arbitrary spheres (discussed later in Chapter 3 and Chapter 4). It proves to stable and fast compared to MI-method or OS-method, especially in attacking spheres with narrow gaps [22-24]. (d) Environment. No-absorbing surrounding matrix is required for conventional Mie theory, but not necessary for Generalized Mie theory. Metal particles immersed in absorbing medium have been studied [25]. However, extreme environment condition seems haven’t been studied since nonlinear response of the materials to the exciting source would make the situation more tanglesome. Combination of different compacts in the above yields novel significative cases. Analytical solutions to each special case would be obtained simply by combination of relevant approaches or some reasonable approximations. Finally, it should be emphasized that besides cases mentioned above, physical parameters focused on in the Mie scattering process are no longer the far field cross sections as Mie’s consideration. Optical pressure on particles, once regarded as impossible to measure, gains growing interest owing to developments in detection technique. Near-field distribution of optical intensity or energy flux has recently been applied in vast area, including Luminescence of single-molecule [26] and Surface-Enhanced Raman Spectroscopy (SERS) [27]. Both far field and near-field properties of nanospheres will be discussed in chapter 5. 1.2 Status and Applications of Mie theory …… 建议你看看这本书：[1] C. F. Bohren and D. R. Huffman. Absorption and Scattering of Light by Small Particles. New York: John Wiley, 1983. |
3楼2008-06-16 18:43:52
xbcs1985
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dory(金币+1,VIP+0):谢谢您！
dory(金币+1,VIP+0):谢谢您！
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自己慢慢看吧 第2个是本书里的部分章节，是版权材料，我只能下到这么多，抱歉！ 文件名: Mie散射物理量的数值计算.pdf 描述: Mie散射物理量的数值计算.pdf 下载链接: http://www.fs2you.com/files/589d14f8-3b92-11dd-bd91-0014221f4662/ 文件名: scattering theory.pdf 描述: scattering theory.pdf 下载链接: http://www.fs2you.com/files/58a02273-3b92-11dd-b5f3-0014221f4662/ |
4楼2008-06-16 18:49:52
xbcs1985
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5楼2008-06-16 18:54:26