Scattering from an eccentrically stratified dielectric sphere

Fikioris, J.G.; Uzunoglu, N.K.

doi:10.1364/josa.69.001359

Cited by 75 publications

(22 citation statements)

References 14 publications

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“…T he prefactor …¡1 † m does not appear in S tratton due to the fact that this author uses an alternative de® nition of the associated Legendre polynomials, namely equation (6) where …¡1 † m is dropped. T he functions de® ned by equations (2) and (3) furthermore agree with the ones used in [11], again modulo …¡1 † m . S uch prefactors will appear recurrently through this paper and will not be commented on further.…”

Section: Ector Spherical Wave Functionssupporting

confidence: 61%

“…in which we managed in such a way that the translation coe cients are exactly the ones given in [11].…”

Section: Main ® Elds In the Main Framementioning

confidence: 99%

“…We insert equations (14) and (15) into equation (11), interchange n and¸, m and ·, and use the fact that, for translations parallel to the z axis, we have [11] A ·m nˆ¯m· A ·· n ; …16 † B ·m nˆ¯m· B ·· n : …17 †…”

Section: Main ® Elds In the Main Framementioning

confidence: 99%

“…T herefore, the presence of an inclusion (more generally of inhomogeneities) near the rim of the scatterer must induce dramatic modi® cations of the MDRs that the present theory could investigate in a wellcontrolled situation, in the case of laser beam illumination. T he present GL MT may be viewed as a synthesis between the GL MT in the strict sense [9,10] (interaction between an arbitrary shaped beam and a homogeneous sphere) and the theory of plane wave scattering from an eccentrically stratif ed dielectric sphere [11]. Potentially, this line of research could be extended to the case when many inclusions are embedded in the main sphere.…”

Section: Introductionmentioning

confidence: 96%

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Generalized Lorenz-Mie theory for a sphere with an eccentrically located spherical inclusion

Gouesbet

Gréhan

2000

Journal of Modern Optics

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Abstrac t.T he theory of interaction between an arbitrary electromagnetic shaped beam and a sphere with an eccentrically located spherical inclusion is presented. T his theory is built as a synthesis between two available theories (i) the generalized Lorenz± Mie theory for a homogeneous sphere (illuminated by an arbitrary shaped beam) and (ii) the theory of interaction between a plane wave and an eccentrically strati® ed dielectric sphere.T his paper deals with the case when a homogeneous spherical particle (called the inclusion) is embedded at an arbitrary location inside a sphere (called the main sphere). S imilarly as for previous GLMT s, many applications are expected from this theory, in particular in the ® eld of particle characterization, such as using rainbow refractometry [2,3] or phase-Doppler instruments [4± 6]. Another interesting prospect concerns the behaviour of morphology-dependent resonances (MDRs) (see the comprehensive work of [7] for access to the relevant literature, and also the classical work of [8]). From an electromagnetic point of view, these MDRs correspond to solutions of characteristic equations associated with boundary conditions and lead to internal ® elds which are concentrated near the rim of the Journal of Modern Optics ISSN 0950± 0340 print/I SSN 1362± 3044 online # 2000 T aylor & Francis Ltd

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Section: Ector Spherical Wave Functionssupporting

confidence: 61%

“…in which we managed in such a way that the translation coe cients are exactly the ones given in [11].…”

Section: Main ® Elds In the Main Framementioning

confidence: 99%

Section: Main ® Elds In the Main Framementioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

Generalized Lorenz-Mie theory for a sphere with an eccentrically located spherical inclusion

Gouesbet

Gréhan

2000

Journal of Modern Optics

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“…The basic Mie solution to the problem has been extended in a number of different ways, including that of concentrically layered spheres, which has been thoroughly described in excellent detail [19,20]. A generalization of this approach, the problem of nonconcentricity has been described theoretically by a number of authors [22][23][24][25][26], through the use of scattering by 1. (Upper) Model of the soft core-shell (lower) particle, where a hairy colloidal particle is represented by spheres. Refractive index changes from n 0 in the external medium to n 1 in the shell of thickness d to n 2 in the core with a diameter of 2r c .…”

Section: Introductionmentioning

confidence: 99%

Mie scattering by soft core-shell particles and its applications to ellipsometric light scattering

Ross

Sigel

2012

Phys. Rev. E

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Through the use of Mie theory generalized to multiple spheres, the derivatives of the scattering matrix elements and ellipsometric scattering variables are found as a function of shell thickness and nonconcentricity for core-shell particles. In particular, for the case of a core-shell sphere system where the centers are not concentric, the derivatives are taken with respect to the line segment describing the distance between spherical centers. The derivatives of the scattering matrix elements can be used to calculate the changes in ellipsometric light scattering, allowing for sensitivity and precision in quantitative models of fluctuations in core-shell systems. Computed results giving model contrast for a variety of sizes and fluctuation modes are used to design and guide novel light-scattering experiments currently underway.

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Introduction to Light Scattering from Microstructures

González

Moreno

Light Scattering From Microstructures

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Scattering from an eccentrically stratified dielectric sphere

Cited by 75 publications

References 14 publications

Generalized Lorenz-Mie theory for a sphere with an eccentrically located spherical inclusion

Generalized Lorenz-Mie theory for a sphere with an eccentrically located spherical inclusion

Mie scattering by soft core-shell particles and its applications to ellipsometric light scattering

Introduction to Light Scattering from Microstructures

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