Scattering by an Infinite Dielectric Cylinder Having an Elliptic Metal Core: Asymptotic Solutions

Zouros, Grigorios P.; Roumeliotis, John A.

doi:10.1109/tap.2010.2055777

Cited by 8 publications

(4 citation statements)

References 23 publications

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“…In this case, more terms of Oh 6 and higher are necessary to reduce the errors at high eccentricities. Similar behavior for this limiting case was also observed in [13].…”

Section: Numerical Results and Discussionsupporting

confidence: 83%

“…Compared with the sets derived in [13,17] where expansions up to Oh 4 were used to retrieve the solution analytically, the present case is more challenging, since it retains the inner summation over index m, which originates from the expansion formulas from polar to elliptical coordinates, and moreover includes the nonorthogonal inner products around the elliptical interface, which separates the two dielectric media having different constitutive parameters. In the case of [13,17], the inner summation was absent, thus enabling a straightforward expansion of the quantities involved. In the present case, the inner summation over index m should be also expanded in powers of h, appropriately, and the resulting terms should be carefully combined to retrieve the solution.…”

Section: E-wave Polarizationmentioning

confidence: 99%

“…The scattering by a circular lossless dielectric cylinder coating coaxially a metallic elliptical cylinder is examined in [13]. The authors use two alternative procedures to calculate the scattering cross sections, one based on elliptical-circular series expansion, and the other based on asymptotic analysis.…”

Section: Introductionmentioning

confidence: 99%

“…and also in Eqs (13)-(15). are found, after lengthy and cumbersome calculations, by using the expansions for the Mathieu functions from[17][18][19], and are given in Eqs.(A3)-(A13).…”

mentioning

confidence: 99%

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Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core

2013

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An analytical, closed-form solution to the scattering problem from an infinite lossless or lossy elliptical cylinder coating a circular metal core is treated in this work. The problem is solved by expressing the electromagnetic field in both elliptical and circular wave functions, connected with one another by well-known expansion formulas. The procedure for solving the problem is cumbersome because of the nonexistence of orthogonality relations for Mathieu functions across the dielectric elliptical boundary. The solution obtained, which is free of Mathieu functions, is given in closed form, and it is valid for small values of the eccentricity h of the elliptical cylinder. Analytical expressions of the form S(h)=S(0)[1+g(2)h2+g(4)h4+O(h6] are obtained, permitting an immediate calculation for the scattering cross sections. The proposed method is an alternative one, for small h, to the standard exact numerical solution obtained after the truncation of the system matrices, composed after the satisfaction of the boundary conditions. Both polarizations are considered for normal incidence. The results are validated against the exact solution, and numerical results are given for various values of the parameters.

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“…In this case, more terms of Oh 6 and higher are necessary to reduce the errors at high eccentricities. Similar behavior for this limiting case was also observed in [13].…”

Section: Numerical Results and Discussionsupporting

confidence: 83%

Section: E-wave Polarizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…and also in Eqs (13)-(15). are found, after lengthy and cumbersome calculations, by using the expansions for the Mathieu functions from[17][18][19], and are given in Eqs.(A3)-(A13).…”

mentioning

confidence: 99%

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Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core

2013

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Electromagnetic waves scattering from an infinite elliptical metal cylinder covered by a plasma layer in presence of external magnetic field

Soltani

Rahmani

Heidari-Semiromi

2021

Optik

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Study on Cylinder's Surface Current Density and Radar Cross Section (RCS) Resonance

Liu

2013

2013 International Conference on Information Technology and Applications

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Perfect electric conductive cylinder's scattering is a typical 2-dimensional scattering and has accurate solution which is very helpful in study of conductor's surface wave, crawling wave and is often used for validation of computational algorithm. The surface currency density's magnitude and phase's distribution over the profile are studied and the incident polarization and frequency's influence on the surface currency are analyzed. The bi-static radar cross section (RCS) is calculated based on the far field approximation of Hankel's function and the RCS's resonant characteristics over the frequency and bi-static angle are studied. Analysis results show that RCS's variations with frequency and bi-static angle are similar and the resonant peaks numbers are the same. This result has important reference meaning to study of RCS's frequency and multistatic features.

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Scattering by an Infinite Dielectric Cylinder Having an Elliptic Metal Core: Asymptotic Solutions

Cited by 8 publications

References 23 publications

Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core

Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core

Electromagnetic waves scattering from an infinite elliptical metal cylinder covered by a plasma layer in presence of external magnetic field

Study on Cylinder's Surface Current Density and Radar Cross Section (RCS) Resonance

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