The solution of the plane wave diffraction problem by two strips with different fractional boundary conditions

Tabatadze, V.; Karaçuha, Kamil; Veliyev, Eldar I.

doi:10.1080/09205071.2020.1759461

Cited by 10 publications

(20 citation statements)

References 15 publications

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“…Here, a i n are the unknown coefficients for each i and n values. Then, the corresponding Fourier coefficients are found when Equation ( 14) is inserted into Equation ( 5) [15,25,26].…”

Section: F I G U R E 1 the Geometry Of The Problemmentioning

confidence: 99%

A new approach in electromagnetic plane wave diffraction by two concentric slotted cylinders with variably placed slits: E and H polarized cases

Karaçuha

Tabatadze

Alperen

et al. 2022

IET Microwaves Antenna & Prop

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The study investigates the electromagnetic plane wave diffraction by two concentric slotted cylinders with variably placed slits. Unlike the previous studies, the effect of rotation on the resonance characteristics and near‐field distributions is analyzed in the present work, which is not studied yet. The study focuses on diffraction by both E‐ and H‐polarized plane waves. A semi‐analytical method is preferred to obtain the physical properties such as resonances and near and far‐field radiation patterns. The advantage of the method is to employ the analytical and numerical tools together. Due to having both E‐ and H‐polarized plane waves, Dirichlet and Neumann Boundary conditions are considered and analyzed, respectively. After obtaining the mathematical expressions for the current density, near and far‐field, and total radar cross‐section, the different results are compared with the Method of Moment and the Method of Auxiliary Sources. The comparison demonstrates that the proposed method coincides with other well‐known methods. The outcomes reveal that the aperture size and the rotation angle have a significant role in the radiation characteristics.

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“…Here, a i n are the unknown coefficients for each i and n values. Then, the corresponding Fourier coefficients are found when Equation ( 14) is inserted into Equation ( 5) [15,25,26].…”

Section: F I G U R E 1 the Geometry Of The Problemmentioning

confidence: 99%

A new approach in electromagnetic plane wave diffraction by two concentric slotted cylinders with variably placed slits: E and H polarized cases

Karaçuha

Tabatadze

Alperen

et al. 2022

IET Microwaves Antenna & Prop

Self Cite

View full text Add to dashboard Cite

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“…As mentioned above, the incident and the scattered field components are expressed mathematically. Then, the boundary condition is required on the surface of the circular strip as shown in Equation (6). Note that the boundary condition is the Dirichlet boundary condition.…”

Section: E-polarised Casementioning

confidence: 99%

“…The same approach is followed as given in the E-polarised case. Then, the boundary condition is required on the surface of the strip as denoted by Equation (6). Note that the boundary condition is the Neumann boundary condition.…”

Section: H-polarised Casementioning

confidence: 99%

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General approach to the line source electromagnetic scattering by a circular strip: Both E‐ and H‐polarisation cases

Karaçuha

2021

IET Microwaves Antenna & Prop

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This study presents a new approach to line-source diffraction by a circular strip. The investigation is obtained by employing both electric and magnetic line sources where the corresponding field components satisfy the Dirichlet and Neumann boundary conditions. The position of the line source in the problem resulted in a very different radiation mechanism. Regarding the boundary condition and the aperture size, the total field characteristics change noticeably. The current density on the circular strip is expressed by Fourier series expansion, and then, orthogonal polynomials including edge condition are utilised to obtain the scattered field. The investigation is done throughout the far-field radiation pattern, near-field distributions, and the total radar cross-section. Then, the results are compared with the analytical and numerical outcomes. For the comparison, the method of moments and the method of auxiliary sources are employed as the numerical tools.

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“…Applications of the boundary value problems with boundary operators of fractionalorder for elliptic equations were given in [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

On a Boundary Value Problem for the Biharmonic Equation with Multiple Involutions

2021

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A nonlocal analogue of the biharmonic operator with involution-type transformations was considered. For the corresponding biharmonic equation with involution, we investigated the solvability of boundary value problems with a fractional-order boundary operator having a derivative of the Hadamard-type. First, transformations of the involution type were considered. The properties of the matrices of these transformations were investigated. As applications of the considered transformations, the questions about the solvability of a boundary value problem for a nonlocal biharmonic equation were studied. Modified Hadamard derivatives were considered as the boundary operator. The considered problems covered the Dirichlet and Neumann-type boundary conditions. Theorems on the existence and uniqueness of solutions to the studied problems were proven.

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The solution of the plane wave diffraction problem by two strips with different fractional boundary conditions

Cited by 10 publications

References 15 publications

A new approach in electromagnetic plane wave diffraction by two concentric slotted cylinders with variably placed slits: E and H polarized cases

A new approach in electromagnetic plane wave diffraction by two concentric slotted cylinders with variably placed slits: E and H polarized cases

General approach to the line source electromagnetic scattering by a circular strip: Both E‐ and H‐polarisation cases

On a Boundary Value Problem for the Biharmonic Equation with Multiple Involutions

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