Mellin transform solution for the static line-source excitation of a dielectric wedge

Scharstein, R.W.

doi:10.1109/8.273311

Cited by 16 publications

(21 citation statements)

References 6 publications

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“…The convergence of the integrals in (11) for the present configuration is guaranteed by the form of excitation, i.e., an electric dipole, whose radial dependence satisfies the convergence requirements [20].…”

Section: Solution Of the Dual Problem: The Double Dielectric Wedgementioning

confidence: 99%

“…in the double-wedge problem through (11), by applying an inverse Mellin transform with a residue evaluation of the integral [20]. The convergence of the integrals in (11) for the present configuration is guaranteed by the form of excitation, i.e., an electric dipole, whose radial dependence satisfies the convergence requirements [20].…”

Section: Solution Of the Dual Problem: The Double Dielectric Wedgementioning

confidence: 99%

“…1 has been reduced to that of a double dielectric wedge excited by an electric dipole placed at the distance Applying the Mellin's integral transform [20], defined as:…”

Section: Solution Of the Dual Problem: The Double Dielectric Wedgementioning

confidence: 99%

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Parallel, series, and intermediate interconnections of optical nanocircuit elements 1 Analytical solution

2007

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Following our recent development of the paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies [N. Engheta, A. Salandrino, A. Alù, Phys. Rev. Lett. 95, 095504 (2005)], in this paper we investigate the possibility of connecting nanoparticles in series and in parallel configurations, acting as nanocircuit elements, In particular, we analyze a pair of conjoined half-cylinders, whose relatively simple geometry may be studied and analyzed analytically. In this first part of the work, we derive a closed-form quasi-static analytical solution of the boundary-value problem associated with this geometry, which will be applied in Part II for a nanocircuit and physical interpretation of these results.OCIS codes: 999.999 (Nanocircuits), 350.4600, 240.6680, 290.5850.

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Section: Solution Of the Dual Problem: The Double Dielectric Wedgementioning

confidence: 99%

Section: Solution Of the Dual Problem: The Double Dielectric Wedgementioning

confidence: 99%

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Parallel, series, and intermediate interconnections of optical nanocircuit elements 1 Analytical solution

2007

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“…A journal paper titled " Mellin Transform Solution for the Static Line-Source Excitation of a Dielectric Wedge" has been submitted, revised, and accepted for publication in the IEEE Transactions on Antennas and Propagation [62]. A conference paper also summarizing these results was presented in July 1993 at the 1993 Radio Science Meeting in Ann Arbor, MI.…”

Section: Journal Papermentioning

confidence: 99%

Penetrable Wedge Analysis

Scarstein¹,

Davis²

1993

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(Maximum 200 words).The continuation of this wedge scattering research is proceeding as proposed, with several significant accomplishments and findings to date. The nature of this rigorous mathematical approach to scattering problems is such that original formulation is very important and usually very slow to evolve. For example, the previous work summarized in the report [61] had several abandoned and potentially useful starts, while the finished product is substantial. 94-03651

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“…Bach Andersen and Solodukhov [10] showed that some of the coefficients in this power series diverge when the wedge angle is a rational multiple of , thereby proving the Meixner expansion virtually useless [11]. A more promising approach was adopted by Scharstein [12] who provided solutions based on the Mellin transform in the static case.…”

Section: Introductionmentioning

confidence: 97%

The diaphanous wedge

Knockaert¹,

Olyslager²,

Zutter³

1997

IEEE Trans. Antennas Propagat.

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Complete solutions for the diaphanous wedge, meaning a wedge with identical wavenumbers inside and outside the wedge, are presented. The results are obtained from an integral equation for the fields on the wedge, which is solved by the Mellin and Kantorovich-Lebedev transforms in the static and dynamic cases, respectively. Pertinent formulations of Gegenbauer's addition theorems play an important part in the derivation of the results, which are presented in closed form.

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Mellin transform solution for the static line-source excitation of a dielectric wedge

Cited by 16 publications

References 6 publications

Parallel, series, and intermediate interconnections of optical nanocircuit elements 1 Analytical solution

Parallel, series, and intermediate interconnections of optical nanocircuit elements 1 Analytical solution

Penetrable Wedge Analysis

The diaphanous wedge

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