Electromagnetic scattering from prolate spheroids for axial incidence

Sinha, B.P.; MacPhie, R.H.

doi:10.1109/tap.1975.1141161

Cited by 29 publications

(17 citation statements)

References 7 publications

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“…As far as the terms omitted in our solution are of the order h 6 , or higher, it is evident that the restriction for use of small values of h is less severe than it may appear at first. Comparison with existing results found in [1,[5][6][7] shows that even for h = 0.866 (maximum possible h = 1.0, corresponding to a rod) our method gives a very good approximation. Moreover our analytical solution can provide a benchmark, against which the more complex spheroidal function codes may be checked.…”

Section: Introductionsupporting

confidence: 56%

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Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method

Kotsis¹,

Roumeliotis²

2007

PIER

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Abstract-The scattering of a plane electromagnetic wave by a perfectly conducting prolate or oblate spheroid is considered analytically by a shape perturbation method. The electromagnetic field is expressed in terms of spherical eigenvectors only, while the equation of the spheroidal boundary is given in spherical coordinates. There is no need for using any spheroidal eigenvectors in our solution. Analytical expressions are obtained for the scattered field and the scattering cross-sections, when the solution is specialized to small values of the eccentricity h = d/(2a), (h 1), where d is the interfocal distance of the spheroid and 2a the length of its rotation axis. In this case exact, closed-form expressions, valid for each small h, are obtained for the expansion coefficients g (2) and g (4) in the relation

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Section: Introductionsupporting

confidence: 56%

“…Many researchers have been involved with its solution in the past in a great number of papers, applying various methods. Among these papers are the ones included in our reference list [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method

Kotsis¹,

Roumeliotis²

2007

PIER

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“…The integration of the vector wave equation in terms of vector wave functions has found a direct and extensive application in studies on electromagnetic scattering and radiation by canonical objects such as spheres [7,8] and cylinders [7] and by more complicated ones such as spheroids [9][10][11][12][13][14][15][16][17][18], 3. Theorems converting spheroidal vector wave functions into spherical ones and conversely.…”

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confidence: 99%

Rotational-translational addition theorems for spheroidal vector wave functions

Dalmas¹,

Deleuil²,

MacPhie³

1989

Quart. Appl. Math.

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Abstract. Rotational-translational addition theorems for spherical and spheroidal vector wave functions are established. These theorems concern the vector wave functions Mfl and Na (with a = r,x,y,z) which can be obtained and used to treat various electromagnetic problems such as multiple scattering of a plane wave from prolate spheroids (with arbitrary spacings and orientations of their axes of symmetry) or radiation from thin-wire antennas. For sake of completeness, rotational-translational addition theorems for the vector wave function L are also established. This work is a natural extension of previous studies concerning simpler transformations of coordinate systems, such as rotation or translation. The two cases r > d and r < d are distinguished, where d is the distance between the centers of the spheroids.

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“…In the past, light scattering from spheroidal nanoparticles was studied using a spheroidal wave expansion [26][27][28][29] or shape perturbation method [30]. However, due to their slow convergence, these methods normally demand high computational resources in order to obtain a reasonable accuracy.…”

Section: Plasmon Mode Structure and Symmetriesmentioning

confidence: 99%

Transformation optics and hidden symmetries

et al. 2014

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Symmetry plays an important role in physics providing a means of classification and a route to understanding. Here we show that an apparently unsymmetrical structure, in our example an ellipse/spheroid, has a more symmetrical partner with an identical spectrum and through which its electromagnetic properties can be classified and calculated analytically. We use the powerful tool of transformation optics to establish this relationship which has wide application beyond the simple example we give in this paper.

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Electromagnetic scattering from prolate spheroids for axial incidence

Cited by 29 publications

References 7 publications

Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method

Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method

Rotational-translational addition theorems for spheroidal vector wave functions

Transformation optics and hidden symmetries

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