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- Yu-lin Xu
- Journal of the Optical Society of America. A…
- 2003

A description is given of an analytical solution to the scattering Mueller matrix of an ensemble of small particles that may be of different shape, size, composition, and structure. It is derived within the framework of the generalized multiparticle Mie solution (GMM). Provided that all individual T matrices of a group of particles are known analytically or… (More)

- Yu-lin Xu
- Math. Comput.
- 1996

Addition theorems for vector spherical harmonics require the determination of the Gaunt coefficients that appear in a linearization expansion of the product of two associated Legendre functions. This paper presents an algorithm for the efficient calculation of these coefficients through solving the most appropriate (lower triangular) linear system and… (More)

- Yu-lin Xu
- Physical review. E, Statistical, nonlinear, and…
- 2003

This paper presents a rigorous solution to the scattering of a monochromatic plane wave by an arbitrary configuration of wavelength-sized small particles that can be of different shape, structure, size, and composition. A T-matrix formulation is developed for the calculation of optical cross sections and the asymmetry parameter of such an ensemble of… (More)

- Yu-lin Xu
- Journal of the Optical Society of America. A…
- 2013

The generalized multiparticle Mie-solution (GMM) is an extension of the well-known Mie-theory for single homogeneous spheres to the general case of an arbitrary ensemble of variously sized and shaped particles. The present work explores its specific application to periodic structures, starting from one- and two-dimensional regular arrays of identical… (More)

- Yu-lin Xu
- Journal of the Optical Society of America. A…
- 2015

Based on an essentially different theoretical foundation than common classical diffraction theories that remain in extensive use, this paper discusses from a fresh perspective the theoretical interpretation and prediction of the far-field diffraction of a plane monochromatic wave by a finite periodic array (PA) of identical obstacles. The theoretical… (More)

- Yu-lin Xu
- Journal of the Optical Society of America. A…
- 2014

The generalized multiparticle Mie-solution (GMM), a Lorenz-Mie-type rigorous theory for the scattering of a monochromatic plane wave by an arbitrary configuration of nonintersecting scattering bodies, has lately been revisited and further developed. A recent progress is the initiation of a special version applied to one- and two-dimensional (1D and 2D)… (More)

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